Average Shortcut Concept &Tricks PART-1 For SSC CGL/CHSL| IBPS PO/Clerk|RRB-NTPC|SI By Chandan Venna

[Music] hi everyone this is Shannon and welcome to channel logics in this video we'll be discussing some important concept from topping averages as you all know that from topic averages will be getting questions frequently in various complete examinations in this video we'll be covering concepts like personal living person joining person replacing calculating batting average and calculating bowling average now all these questions can be solved with one simple technique let us look at each and everything in a detailed manner let us look at what actually average mean average meaning is like general definition is nothing but sum of observations but number of observations is nothing but average this is nothing but general definition of average in other words average can be said in this way as well let us example average of one two three four fine if I need to calculate average of one two three four five average definition is nothing but sum of numbers divided by number of numbers sum of numbers 1 plus 2 Plus 3 plus 4 plus 5 is nothing but 15 divided by number of numbers is nothing but 5 so sum of numbers divided by number of numbers we can say that average is nothing but 3 in other words average can be said in this way spell now if you look here the sum of numbers is 15 and number of numbers is 5 we came to that average is 3 in other words average is nothing but equal distribution when I say equal distribution one particular number has been dissipated equally over here and we need to know what is the pedlar number when you say average is three number three has been disputed equally over here if you observe here this is three this is three three three and three and if you observe here when I add all these numbers this is like 15 and even if you look here if I add these numbers this will be 15 which means number three has been equally disputed over here for five times so we came to know that average of these numbers is like fine now if we observe here actually all these numbers are not three but some are like more than three and some are like less than three but average as we have said as it is equal distribution who is having more they need to share it with the persons who are having less when they share it equally they will be coming across the number three over here now if you cure one is two less than three but five is two more than three now both of them share with each other and they make it as three three each and if you look here two is one less than three but four is one more than three both of them share with each other and they will make it as three 3h and in event three is like three so in simple words average can be said in this verse well that is like equal distribution which means if we go with the concept of equal distribution solving questions from averages will be like really simple so general definition of average is nothing but sum of numbers divided by number of numbers is nothing but average in other words average can also be said this equal distribution so let us look at a simple example based upon percent joining let us say average of let us look at simple example let us say average of 18 percent average of 18 percent that is average weight of 18 percents is 22 kg average weight of 18 percent is 22 kg very new person join when a new person join it will be 19 persons let us say average weight is like 24 kg and we are asked to find what is the weight of new person average weight of 18 percents is 22 kg when a new person joints it is like 19 percents and averaged very slick 24 kg we are asked to find what is the weight of the new person if I solve this question in a normal way how to solve this question in normal way if you solve this question in normal way first you need to know what is the sum of this 19 percent beta so if I need to calculate sum of 19 percent weight this will be 19 into 24 - 18 percent some of rate is nothing but a in in 222 so if I calculate this I will be coming across some of weight of 19 percents from this if I subtract some of weight of 18 but since then we'll come across know what would be the weight of new person yes fine now this is like a normal way of solving the question but if you observe here the same question can be solved in easiest manner now wait for one minute of time actually if we look at this calculation this calculation is really complicated but the same calculation can be made much easier if you need to make much easier if you look here this 19 right in terms of 18 if I write this 19 in terms of 18 it looks in the same that is 18 plus 1 into 24 minus 18 into right this 22 in terms of 24 if right is 22 in terms of 24 now this can be written as 24 minus 2 now if I simplify this calculation this would be 18 into 24 18 into 24 plus 1 into 24 minus 18 into 24 minus into minus this will be plus plus 2 into 18 now if you simplify this one 18 into 24 18 to 24 gets canceled why because this is plus 18 to 24 and this is minus 18 to 24 so both of them gets cancelled now finally you're left with 1 into 24 plus 2 into 18 now calculating this is like really simple why because 1 into 24 will be 24 plus 2 times of 18 this will be 36 we can say that the weight of the new person is nothing but 60 kg so this will be the weight of the new person now if you observe here calculating this is really simple but calculating this numbers are like really difficult why because many of us are not good at multiplying the numbers so calculating this becomes really complicated but calculating this looks simple now if you observe here this same calculation I got from this number but what actually happen is like we made the calculation easier the like we are trying to make the multiplication easier so that multiplying these numbers will become easy so the same thing how we can get from the given equation how to get the same equation from here let us look now if you look here the question said 18% average weight is 22 kg when a new person joins average weight will be 24 kg now it's like a single thing for all the questions will be following the same technique the single thing is like taking left-hand side difference left-hand side difference this will be like plus 1 why because from 18 to 19 it's like plus 1 when it's like 1 you need to say where it is like plus 1 or minus 1 as well this lake plus 1 left hand side append this plus 1 go for the right hand side and right hand side difference right hand side difference will be lik plus 2 well because 22 became 24 this will break place to now it's like simple thing what do you dislike left hand side difference multiplied with right hand side bottom number left hand side difference multiplied with right hand side bottom number plus 1 into 24 this will be 1 into 24 next right hand side difference multiplied with left hands a top number right hand side difference multiplied with the left hand side top number now right hands the difference is plus 2 now this plus 2 multiplied with 18 now this will be plus 2 into 18 now if you observe here the same equation we got here as well that is 1 into 24 1 into 24 plus 2 into 18 plus 2 into 18 now this calculation becomes simple 1 into 24 will be 24 plus 2 into 18 will be 36 we can directly see that the weight of the new person is going to be 60 kgs now what we have done is like whatever we have done in a complicated way that is like we simplified this complicated calculation in the simplest form and the simplest form can be getting from here that it's like simple thing what you'll be slick take left hand side difference take right hand side defense left hand side difference multiplied with right hand side bottom number and right hand side difference multiplied with left hand side top number now the same technique we'll use for calculating joining the person leaving the person replacing the person calculating batting average calculating bowling average trust me you can solve all these five models using only this particular single technique the technique is like really simple left hand side well played with the right hand side bottom number right hand side difference multiplied with left hand side bottom number and why I am going with this particular single technique is like many of the guys get confused them why because when they are trying to solve questions with respect to leaving joining replacing batting average bowling average they get a confusion with respect to the sign that is like sometimes they will take positive sign some they will take minus negative sign and actually all this makes complicated for a student when they are trying to solve these questions but in this technique whether it is like leaving or joining or replacing or batting average or bowling average will follow with only one single technique which makes us easy to calculate all these calculations in this there is no confusion one simple single technique there is like left hand side difference multiplied with right hand side bottom number right hand side difference multiplied with left hand side top number if you follow this single technique you can solve any question with respect to averages regarding these five topics from here let us say what actually happens if it is like instead of joining if it is like leaving the even if it's like leaving the concept is going to be the same now if you look here other than this if I look at this a type concept of equal distribution if I go with the concept of equal distribution it can be same set in this way eighteen percent averages like 22 kg 19 percents averages like 24 kg now if they ask you to find what is the weight of new person now if look here now weight of new person at presenta now in this 19 percent there was a new person the weight of new person at present will be 24 kg why because 19 percent average weight is 24 kg means all of them will be 24 24 24 kg each which means the new person also will be 24 kg so you need to take it as the new person as 24 kg but what actually happened is like new person is not 24 kg why because when a new person entered here the average increase them when the average is going to be constant we can say that the new person also will be 24 kg but the average is increased here average increase by how much to average increased by two means each and every person will be increased by two so how many persons are increased by two means 18 percent SAR agrees so we can say that the new person will be 24 plus 2 into 18 36-24-36 that we lick 60kg so even you can solve this with the concept of equal dispersion as well let us look the same example with respect to living what actually happens with respect to living let us say it was in this way let us say twenty four percent twenty four percent average weight let us say 33 kg let us say one percent of the group one person left one person left then the person's will be 23 percents and twenty three persons average weight let us say 31 kg so 24 percents average weight is 33 kg 23 percent average very slick 31 kg now they are asking us to find person who left the group I told you to follow the same shortcut the shortcut is like left hand side difference that is minus 1 and right hand side difference that is like minus 2 left hand side difference multiplied with the right hand side bottom number minus 1 into 31 this will be minus 31 right hand side difference multiplied with left hand side top number right hands the difference multiplied with left hand sir top number so minus 2 into 24 this will be minus 48 now when you calculate this this will be minus 79 now if you look here you got a negative value you can neglect this negative value and you can just say the number so we can say that the person's weight that is late person who left the group weight will be like 79 kg now why the reason we got NATO sign is slip why because we are 24 percents it's like 33 when a person leaving it will take 23 percents now if you are trying to write this in a reverse way that is like 23 and 24 then this will be like a positive sign why because whether it is like leaving or joining the concept will be like same why because let us say initially there are 23 percent when a new person join it will be 24 percent which means leaving concept is also another form of joining as well so even if you get a negative sign in calculation you can simply neglect a negative sign and you just take a positive number okay so trust me you can solve all these questions with just a simple technique and don't forget the technique it's like really simple left hand side difference multiplied with right hand side bottom number and right hands a difference male with left hands a top number if we use this technique you can solve any questions without any confusion that is like whether leaving or joining or replacing or batting average for bowling average many of us get confused in solving this question that's like plus minus minus plus and exit and all but you not have any confusion if you fall this Technica let us solve some examples that were asked me in previous examinations so that you will be getting a better idea on this let us look at them whenever you are trying to learn something lend them in a concept or manner rather than Baha together if you're letting them in a concept manner then you can solve any concept in a simple way if you are trying to mahat it then their chance of getting done using examinations competitions is all about being smarter so be smart and do smarter average age of 31 students is eleven point five years if teacher ages included average is increased by one what is the teachers age so we are asked you to find the teachers age so initially there are 31 strains average age eleven point five years so 31 students average age will be eleven point five years when teacher is included when teacher is included then there will be thirty thirty two percent so when teacher is included thirty two persons and average weight is increased by one when average weight is increased by one new average will be twelve point five now we are supposed to find what is the age of teacher simple take left hand side difference take right hand so difference left hand side defense will be plus one left hand side offense multiplied with the right hand side bottom number plus one into twelve point five this will be plus twelve point five right hand side difference multiplied with left hand set top number so thirty one into plus one this will be plus thirty one so we can say that the age of teacher will be forty three point five years so teachers age will be forty three point five years simple follow this one single technique left hand so difference multiplied with right hand side bottom number right hand so difference multiple with left hand is a top number if you follow this technique you can solve any questions without any confusion trust me you can solve any questions let us look at one more example as well [Applause] let us look at the next question it was saying in this vein the average age of four brothers is 12 years if the age of their mother is also included the average age is increased by five years the age of mother is so initial they're like four brothers so it's like 4% 4% average ages like 12 years now their mother is included when mother is included totally it will be five percents so mother is included the average age is increased by five years average age is increased by five years so 12 plus five average is going to be 17 now we are asked you to find what is the age of mother so mother age is how much simple follow the same technique left-hand side difference left-hand side offense will be plus 1 left hand side depends multiplied with the right-hand side bottom number 17 into plus 1 this will be plus 17 right hand side difference multiplied with left hands the top number left hand set of numbers like 4 4 into plus 5 that will be liq plus 20 so you can see that mother's age will be 37 years so all these questions whatever we are discussing these are the questions that were asking previous examinations there is like previous incarnations previous blank examinations different different examinations now all these questions can be solved with one single technique that's like left hand side appends melted with right hand side bottom number right hand so dependable little defense a top number let us look at one more question as well [Music] so next question it was in the spring five years ago the averages of ABCD was 45 years if a joining them now the average age of all five percents will be for Daniel's how old is in so initially there is like ABCD total for persons so for persons for persons average age is 45 years for persons averages 40s when when it is five years ago 45 when five years ago 45 mins at present it will be 58 why because five years back their average is 45 but now it will be 50 years why because all of them will be English by five years five years five years so present their average age weebly fifty years so present average age of a b c d will be 58 when he joining them now now means at present at present when he is going to join initially it is like ABCD if a joint that will be five percents and it is said that the average age of them is nothing but 49 years and we are asking to find what is the age of e okay simple thing follow that left hand side difference that is plus one right hand side difference this will be minus one left hand so difference multiplied with right hand side bottom number one into 49 this will be 49 right hand sir difference multiplied with left hand say top number minus 1 into 4 this will be minus 4 49 minus 4 we can say that the age of e will be 45 years so simple thing in left hand side difference multiplied with right hand side bottom number right hands a difference melted with left hands a top number but look here the sign is important when you are taking the differences that is like plus or minus it is important but overall when you get this sign is not really important if you get this - 45 you can take it as 45 it's not a problem if you get this plus 40 we can take it as plus 4 it's not a problem but when it is like taking the difference then the sign are really important when you're taking the differences let us look at next question [Music] so next question was saying in this way three years ago the average age of family of five members were 17 years a baby having been born the average age of family is the same today the present age of babies we ask you to find the percentage of baby even this question were asking previous examinations creates a good a video family of five members five members family average age five members family average three years ago 17 if it is like three years ago 17 now it will be 20 years so five member --tz-- family average will be 20 years now what happened is like for them a new baby has been born new baby has been born if a new baby born now instantly the family was five persons now when a new baby born the family will have six persons and the question is saying that when a new baby was born the average age of the family is remaining same same the meaning asleep five years three years back what was the average even now that is going to be same three years back the average is a family was 70 even now it is going to be 17 it seems so even now the family average age is like 17 now we are asking to find what is the age of the baby so simple left-hand side difference left-hand side difference will be plus 1 right hands are difference right hands the difference will be minus 3 left hand side depends multiplied with right hand side bottom number plus 1 into 17 this will be plus 17 right hand side difference multiplied with left hand top number 5 into minus 3 this will be minus 15 so we can say that the age of baby is going to be 2 years so simple calculations left hand side difference multiplied with right hand side bottom number right has a difference multiple with left hand say top number so we can say that the age of baby that's like newborn baby will blick two years okay let's look at the next question so next question it was saying in this way the average age of threatening students and a teacher of the class are 11 years if the age of teacher is excluded the average age of the class is reduced by 1 what is the age of teacher now it's like teacher excluding it's like teacher leaving that now it's like leaving the group I told you whether it is like joining or living it's not a matter all we blixem so it was said the tech names rings and a teacher that means when a teacher means total 40 percents now it was said that 40 percents average age 40 percents average age is like 11 years and after it was said that if the age of teacher is excluded the average of the class reduced by 1 which means teacher is excluded when teacher is living out of this fourth event teacher Lu number of persons will be only 39 what happened average age of the class is reduced by one year averages of class is reduced by one year which means new average will be 10 now we are asked you to find what is the age of teacher so we are supposed to find the age of teacher as simple as that left hands are difference left hand so difference will be minus 1 right hand sir difference will be minus 1 left hands a difference multiplied with right hand side bottom number minus 1 into 10 this will be minus 10 right hands the difference melodica left hands at top number 40 into minus 1 this will be minus 40 so we can say that this is like minus 50 so minus 50 I already told you you can neglect this negative value you can neglect this negative value and you can just say that the age of teacher will be like 50 years already told you whether it is like leading or joining it's not a matter follow the same technique left hand side defends multiple with right hand side bottom number right hand side depends multiple with left hand side top number but if the final resulting is having a negative value you can please neglect the negative value and you can just say that number why because sign is not really important why because whether it is like leaving or joining it is going to be the same thing why because instead of 39 if you're writing threatening a bow and 40 below you are going to get a positive sign so no matter whether it is like writing F or below it is not a matter the simple thing is like you need to consider the number finally if you are getting a negative sign just consider number if you're getting a positive sign just consider number why because number is really important the sign is not important sign is important when you taking the difference then the sign is important in the rest when the resultant value final resultant value sign is not really important okay let us look at the next question so next question it was saying you in this way there are 50 students in a class the average weight is 45 kg so the electro 250 students it seems in a class their average weight is like 45 kg when once rent leave the class the average weight is reduced by hundred grams look carefully it's liquid it's been hundred grams question was in terms of kgs but here it was given in terms of grams so while you're reading the question this will need to be really careful why because examiner's test each and every point why because many of the guys are not good at understand the questions so that is reason what happen is like when they're asking the questions they will be asking questions in a logical way so you need to be careful while reading if you're not good at reading then obviously are going to lose the mark the question is given in terms of kg and you hear it singing radius in terms of grams what is the weight of strength we left the class we have suppose find the syringe we left the class Batum so initially like 50 students it was said like 50 students 50 students in a class 50 students average width is 145 kg so 50 Cent's average it is 45 kg when one student leaves the class when one's going to leave the class the number of students will be 49 and you said that the average weight is ready Usedom rate is 100 grams look here 100 grams is same as 0.1 kg 100 grams will be same as 0 point 1 kg why because 100 grams it was mentioned the question but it was in terms of kgs so we are writing them in terms of kg 100 grams would be 0 point 1 kg when it is reduced by 100 grams it is like 0 point 1 kg then average is going to be forty four point nine kg now you are asked you to find what is the weight of the person who left them simple left hand sir difference left hand so difference would be minus one right answer defense will be minus 0.5 left hand so difference multiplied with right hand side bottom number minus 1 into forty four point nine this will be minus forty four point nine next right the difference multiple with left hand sir top number 50 into minus 0.1 this will be minus 5 so when you calculate this is going to be minus forty nine point nine so which means that weight of the person who left the group is nothing but forty nine point nine kg I'll tell you it can neglect this negative value negative value is not really important we can see that this number is important we can see that the weight is like forty nine point nine kg so person who left will be forty nine point nine so whether it is like leaving joining same concept to look here what whatever you're doing is like simple thing left hand side depends multiplied to the right hand side bottom number then hands a difference malp it with left hands a top number if you follow this we can get the answers in a easiest way let us look at the next question the average age of that this experience of the class is twenty-seven years when I student leave the glance the average is English by three months the age of friend who left the class so you nos could find a joseline who left the class initially they're like total circus experience whose average age is like twenty seven years now what happen is like out of this one person left when one person left this will be thirty five strands now what happened is like average is increased an average single respect three months average increased by three months now this will be twenty seven years three months now we're asked to find what is the age of the person who left her now if you look here left hand side difference will be minus one minus one into twenty seven years three months this will be minus twenty seven years three months in the similar way right Hanson different slick treatments multiplied with left hand side topper now 36 into three now if look at this in terms of months so I need to convert them in terms of years three into 36 there is like three months for 36 that is extreme two three they will blink three into thirty six months I need to convert them in terms of years so divided by twelve now what happened 12 goes into 36 how many times 3 times 3 into 3 this would be nine now this slick plus nine so this will be plus nine now this will be minus 27 years three months plus nine so we can say this is like minus eighteen years three months I'll tell you Negley the negative sign so we can see that the age of the person who left the group is nothing but 18 years three months so next question it was saying you in this way the average weight of group of boys is 40 kg after a boy whose weight 58.5 kg joins the group the average weight of the group is English by 0.5 kg find the number of boys in the group originally now this looks similar to join equation but here it is not about now whether what is the weight of the person and all he's asking like original strength what is the virginal strength of number of persons there okay so even the concept is like simple thing so initially how many boys are there he does not know let us assume initially there are n boys n boys average weight is like 40 kg n boys average weight is 40 kg when a new boy whose weight is 58.5 kg so what happen is like here a new boy is joining whose weight is 58.5 kg so 58.5 kg a new boy joining here the group the average weight of the group is increased by 0.5 kg a new by join means initially there are n boys when a new boy joins this will be in place one person's now what happen is like average weight of the class is increased by how much 0.5 kg increased by 0.5 kg now initially this is 40 increase by 0.5 mean this will be 40 point fine now we are asked to find what is the number of persons initially so we are asking to find the value of n initially how many persons are there same concept of left hand side depends left hand side difference will be plus 1 but it has the difference will be plus 0.5 left hand so difference multiplied with the right hand side bottom number there is plus 1 into 40 point 5 this will be plus 40 point 5 in the similar way right hand side offense is like zero point five right hand so difference multiplied with left hand side top number this will be plus zero point five N and what happened this is nothing but a fifty eight point five kg why because we are getting this variation when when a new person is joining we know that new person is like fifty eight point five kg so the resultant value be equal to 58.5 now what happened 0.5 v n is equal to forty point five minus fifty eight point five now this is going to be 18 so n is equal to 36 there is like 18 divided by 0.5 which would be 36 so number of persons will be that six persons the same technique we can follow even if they're asking us to find how many persons are there initially if they're how many persons initially we as we does not know it we will take it as any initially n persons average is like 14 when a new person join you this will be n plus five average increased by 0.5 kg so this will be 40 plus 0.5 40.5 left hand side offense multiplied with right hand side bottom number right hand side offense multiple with left hand so top member when you calculate this this is like a resultant the resultant value should be equal to fifty eight point five kg why because new person will be fifty eight point five kg when you solve this we can say that the number of persons will be thirty six persons the same question if necessary can solve the concept of equal distribution as well if you solve it the concept of equal distribution the N persons average is 40 when a new person join average is like 40 point five 40.5 means the meaning is like each and every person will be 40 0.5 40.5 forty point five which means the new person is also included as new person is also included average is 40 point five means new person is also 40.5 at the present but actually we know that new purse is not forty point when new person is fifty eight point five which means the difference between what actually average we have and the actual weight of the person is nothing but 18 kg which means what happen is like when the new person join average became 40.5 but actually the weight of the new person is not 40.5 weight of the new person is like fifty eight point five which is like 18 kg small now what happened this 18 cages means this 18 cages was distributed for all the remaining persons as 18 case was disappeared for all the remaining persons I need to know how many persons are there if I need to know how many persons are there this 18 cages was distributed in such a way that each and every person is incremented by 0.5 0.5 0.5 if I need to know how many persons are there 18 divided by point-five I can say that a number of persons will be 36 either can say this answer directly this will spell simple when the new person join average became 40 point 5 which means new person is also 40.5 at present but actually new person is not forty point five new person made is 58 point five which is like eighteen more as if this 18 what happen is like this 18 was dissipated for all the remaining person now the remaining person distributed and all the remaining person agrees emitted by 0.5 point five point five which means if 18 was distributed for some number of persons and each and every person increased by 0.5 point five point five the meaning is like 18 divided by point five the number of persons are linked like this expert sense so either you can solve this in this verse well so all these questions whatever we are discussing are nothing but the questions that are asked in various previous examinations so hope you guys are like enjoying decision if you guys are enjoying this session I need you guys to share this video with as many friends as possible as well but because there like some of your friends who are preparing for different complete examinations as well who are like serious and preparing to complete examinations we need to help those guys as well so if you are thinking that this is this videos going to helpful for you and if you are enjoying decision I need you guys to promote this as well why because you can share this with your friends as well okay so let us look at the next question so next question was saying in this film the average age of 40 students of a class is 15 years when 10 new strains are emitted the average is English by 0.2 years the am rich age of new teach nutrient is so we're askin to find average age of new friends now in this question what happen is like it's not about one person two persons it's like ten persons coming there when it's like 10% is like it is like simply with a will be saying legs group joining group leaving the same whether it is like group joining or believing it's like same concert will be following the same concept where it's like one person entering there or 10 percent centering there the concept is going to the same thing let us look 40 students initially built 40 students 40 students in a class average age average age is like 15 years when 10 new students are going to come when 10 new students comes this will be 40 plus 10 this will be like 50 students and 50 students what happened 50 Cent's averages English by 0.2 years initially 15 years now what happen is like incremented by 0.2 years which means like 15 point 2 years now we are asking to find the new trend age a new friend egg is how much simple follow the same techniques left-hand side difference left-hand side difference will be less then and the right-hand side appearance will be plus 0.2 left-hand side offends multiple with right hand side bottom number 10 into 15 point 2 this will be 152 right hand side offends multiple with left hand sir top number 0.2 into 40 this will be plus editor now this is going to be 160 which means the weight of 10 strengths is like 160 kg but what the question is saying the question is saying the average age of nutrients when some of those tense ruins is 116 it is like calculating the average average of those tensions not look here it is not a 1 percent if it is like one person I can say it is 160 but it's not one person here 10% subjoined so this one 60 is nothing but the weight of all those 10 persons so this one 6 is nothing but the age of all those 10 persons if I need to calculate their average I need to divide it by 10 if I divide it by 10 I can say that the average age of those 10 persons will be 16 years so simple thing what happens like in this forty students are there average ages 50 years when tensions are joining it's not like one strain 10 strands of joining when tens range 140 we become 15m average increased by 0.2 which belief of 2.2 now the concept is same left hand side depends multiple with right hand side a bottom number right it has a difference melted with left hand say top number when you do that multiplication we go to test 160 now this 160 is nothing but age of 10 persons now they're asking us to find what is the average age of new students average of new trainees means average of 10 new friends as they're 10 new students now this 160 is nothing but some of those tense rinse if I need to calculate average divide by 10 once it should give it a bitten I can say that the average age of the new friends is going to be 16 years so simple thing okay let us pray the next question so next question it was saying in this way the average temperature of Monday Tuesday witnessed a Thursday was 48 degrees Celsius the average temperature of Tuesday witnessed a Thursday and Friday 52 degree Celsius if Monday temperature is 42 degree Celsius the temperature on Friday was now if you look here now this is like a concept of replacement I already told you where it is joining or leaving or replacement all will be following the same procedure okay now let us look at this in this what happen is like from Monday to Thursday that is like we have Monday Tuesday Wednesday Thursday so it was said that from Monday to Thursday this four days for this average temperature for this average temperature is what 48 degrees Celsius now later what happen the average temperature of Tuesday witness detergent reading so it was saying like average temperature of Tuesday wetness day Thursday and Friday so Friday again it's like four persons that's like again it's like four days the average temperature is like 52 degree Celsius average symbols like 52 degree Celsius and it was said that if Monday temperatures 42 Monday temperature is 42 degree Celsius we are asked you to find what is Friday temperature okay simple thing now whatever the technique we have followed the same technique will follow in place of replacement as well you not worry about this there is no confusion as well but you will remember one point here what happens like whenever we have questions with respect to replacement what happen is like left hand side difference is going to be zero why because in replacement what happen is like when whatever the person's we have initially what are the persons we have later will be like same why because there will be just a replacement which means one person will be leaving and in place of that a new person is going to enter which means when one person leave and in place of that a new person enter the meaning is like the number of persons count is not going to change as the number of persons count is not going to change simply left hand side difference will be zero you'll have difference only on the right hand side so you'll do it slick right hands the difference multiplied with left hand set-top number that's it okay in all the replacement questions left hand side depends will be 0 why because in these questions when a person replaces the number of persons count is going to be the same if it is like 10 this will be 10 if this is 20 this will be 20 if this is 15 this will be 15 if this is 4 this will be 4 okay fine now if you look here in this Tuesday witness diversity choose the witness diversity is common now the only difference is like Monday is replaced by Friday simple thing Monday is replaced by Friday when Monday is replaced by Friday there is a change in average now due to this change what a place like there will be change in Monday temperature and friend temperature we are supposed to find what is Friday's temperature why because in the question already Monday temperature is given now let us example this for days temperature is 40 degree Celsius after replacement of Monday with Friday let us say after that the voltage temperature is again 48 let us say again it is 48 if it is like again 48 what happen is like initially it is 48 even if it is 48 the meaning is like Monday and Friday will be both of same when if this is 48 and if this is also 48 Monday 42 means Friday also will be 42 but they are not same there is a change in average if there is a change in average there will be change in the values of Monday and Fridays well okay fine let us look what is the change change is nothing but plus 4 now all I told you in all this in question left-hand-side difference is going to be zero as left hands are different is zero left hand set difference multiplied with right hand say that value that is going to be zero you please neglect the left hand side difference calculation just concentrate on the right hands and difference multiple little left hand set top number now 4 into + 4 4 into + 4 will be + 16 which means when incoming from top to bottom when I'm coming from top to bottom what happen is like I have an increment of value by 16 but because 4 into 4 let it slip + 16 which means when I'm coming from top to bottom what happen is like I have an increment of 16 as I have increment of 16 if Monday is 42 Friday should be 16 more that is 42 plus 16 we can say that Friday is nothing but 58 degrees Celsius so simple calculation same procedure but only thing is slick in this left hand so difference will be 0 as left hand side difference is 0 what happened in silly left hand side depends melted with right hand side bottom number you will neglect this calculation why because left hand side is 0 you just concentrate on only right hand side difference multiplied with left hand side top number went right hands a difference multiple o'clock left hand is a top number plus 4 into 4 this will be plus 16 when I'm coming from top to bottom there is an increment of plus 16 if top well is 45 the bottom value should be 42 plus 16 this will be like 58 if it is like place the meaning is like the above one is going to be the below one is going to be more than the above one if it is like - the meaning is like the a Bowman will be more when compared to the below one okay so based on the increment or decrement you will be having the change in the replacement of the person so based on the replacement percent we can find what would be their values as well okay let us look at one more example that was asked in the previous examination okay [Music] [Applause] so one more example even this like similar to this one but what actually suddenly indicated was given in terms of ratio so next one average temperature from Monday to Thursday from Monday to Thursday so that is like Monday Tuesday Wednesday Thursday so all these four days Monday to Thursday all these four days average temperature average simplest is how much 60 degrees Celsius average numbers crystallises the average temperature of Tuesday witness to Thursday Friday there is like Tuesday to Friday there is like Tuesday Wednesday Thursday and it is like Friday so again four days average temperature is nothing but how much 63 degrees Celsius six degrees Celsius and the question was said that the ratio of temperatures of Monday to Friday so ratio of temperature of Monday to Friday Monday to Friday temperature ratio is nothing but twenty one ratio 25 and they are asking us to find what is Friday's temperature we are asked to find the flattest temperature again the same concept now what happen is slick in this Tuesday witness diversity Tuesday witness in Thursday Allah constant you have change in Monday Friday that it's like replacement of Monday with replacement with Friday okay so look left hand sure depends is anyway 0 negative that right hand side difference right hand side effect is lik +3 right hand so difference multiplied with left hand side top number 4 into 3 this will be plus 12 which means I have a difference of plus 12 from Monday to Friday which means Monday Friday defense will be placed well they're asking us to find what is the Friday value if I need to calculate I already have a ratio here why because I don't have a Monday value if I know mind a value for Monday I will add 12 and I will separate it but actually what happen is like in this question there is no Monday but I have a ratio regarding that so now if you look here Mondays 21 parts Fridays 25 parts now if you look at the difference between them in terms of parts our difference between them in terms of parts will be 4 parts in the question already we know that difference between Monday and Friday is nothing but 12 years so there is like 12 degrees Celsius Monday for it well degree Celsius so 4 parts equal to 12 if 4 parts is 12 we can say that one is equal to three if one part is three Monday's 25 parts so if Monday's 21 parts fridays 25 parts we need a port Friday then Friday is going to be 25 into 3 that is nothing but 75 degrees which means Friday temperature will be 75 degrees if they ask about what about Monday Monday is like 21 parts then 21 parts will be 21 into three so Monday will be like 63 degrees so if you look here if Monday is 63 if I add 12 I will get Friday that is like 75 the same concept of whatever we have done in the earlier question the same thing here but there it was Monday's mentioned and they asked about Friday in this what happen is like Monday is not given Friday is not given but we have a ratio once we know the ratio will come across the difference between them in terms of parts and already we have a difference between Monday and Friday that is slick 12 degree so four parts equal to well degree one part is equal to three if I know one part is three I can say about Monday temperature and I can say for Friday temperature as well okay so let us look at the next question [Music] so next question was saying you in this way the average weight of 15 shrinks in a class is increased by 1.5 kg when one student weighed 40 kg is replaced by a new strand what is the weight of a new strand so initially in a class there are 15 strands so initially there are 15 students in a class and 15 students average weight is increased by 1.5 kg in this by 1.5 it means how much it was initially it is not known but there is an increment of 1.5 kg when when a person leaves him when a person whose weight is 40 kg now out of this 15 percent one percent weight is 40 kg now what happen is like this 40 kg person is leaving and in place of that a new person is going to enter in place of that a new person is going to enter now what happens like due to that the average is increased buying 1.5 kg now we are asked to find what is the weight of new trend so we are suppose to find what is the weight of new friend a simple thing 15 trains have their initial their average is what there is not mentioned but what happen is like out of this 15 trains one person whose weight is 40 kg is leaving them is leaving and in place of that a new person is coming in place of that as a new person is coming what a place like averages increased by 1.5 kg now where I asked you to find what is the weight of this new person now if you look here as the average is increasing means the new person is more when compared to the whole person if whole person is 40 the new person should be more something more than that what something more than further but we are supposed to know what is that more value okay fine simple thing I already told you right hand side oppression you map it with left hand set top number 15 into 1.5 no do you know 15 square there's like 15 in 15 will be 225 but it's like 15 and 1.5 as it is 15 and 1 point 5 this will be 20 to 0.5 which means this new person is twenty two point five more or more than the old person as well person is 40 this new person will be 40 plus 22.5 that is 60 2.5 kg which means the new person weight is going to be 60 2.5 cases simple thing initially 15 percents out of those 15 person one person is living that person's weight is 40 kg when this person is living and a new person is replaced by that one person is bent and in place so that a new person entered what happen is like due to that there was an increment of 1.5 kg now as the average increased by 1.5 kg means the new person is going to be more than the old person how much more means 1.5 into 15 that is 22 point 5 kg more so 40 plus 20 2 point 5 the new person weight is going to be 60 2.5 kg okay so simple thing let us look at one more example [Music] so next question it was in the same out of ten teachers of a school one teacher retires and in place a new teacher of age 25 years joins as a result the averages of teachers is raised with drills the age of the Ritter teacher Iza so whereas could find the age of little teacher even this was the question that was asked in previous examinations all whatever we are discussing a nothing but questions that are asked in various competing examinations in the previous years so initially there are like 10 teachers now these 10 teachers average ages how much that was not mentioned out of this 10 teacher 1 teacher is retired that is like one deciliter that is like old teacher is returned now what happens like a new teacher whose it is 25 years join now these 10 teachers one teacher retires and a new teachers coming which means again it will be the same 10 teachers but what happen is like old teacher bent and a new teacher came and the new teacher is like 25 years it seems now what happen is like they were average age of teachers reduced by three years now due to this what happen is like teachers average age is reduced by three years now we are asking to find what is the age of voltage a simple thing initial there are 10 teachers out of this 10 teacher one teacher is retired that it's like 1 volt teacher she is retiring and in place of the teacher what happens like there was a new teacher coming there new teacher is asleep 25 years now due to this what a place like averages reduced by 3 years now you are asked to find what is the age of volt teacher if the age of new teacher is like 25 years now if you look here as average decreasing means which means the new teacher is less than the voltage our new teacher how much less than old teacher I need to know that if you look here right hand so differences minus 3 right hand side offends multiple with left hand sir top number 10 into minus 3 that is like minus 30 which means new teacher is 30 less than the whole teacher why because world teacher value it does not know from old teacher if I subtract that T then I will get a new teacher as they know new teacher if I need to know all teacher I need to go back there is like instead of minus n 2 plus that will be 25 plus 30 which means it is going to be 55 years so simple if Voltaire 55 55-13 Newton is like 25 okay so when if you know this value and if we need to find this value yes simple if you know this value and if you need to find this value even it is like simple okay so once you know that right hand side difference right hand so difference you might be built left hand set top number once the right hand side difference multiple to the left hands our top number will be coming across the difference between the person whoever they are replaced though once you know the replaced but since if you know one person automatically you find the next person if you know this person automatically Fenton is this person as well okay let's look at the next question so next question it was saying in the spring the average age of eleven plates cricket team is English about two months when two of them gained 18 years and 20 years are replaced by two new plates the average age of new plates is a so initially they're like cricket team they're like lemon plates so cricket team there are like eleven players now what I please lick out of these eleven plates what Apple is two plates are living so two plates whose ages are 1 is like 18 years of age and again it's like 20 years of age two plates of living and in place of that what happen is like two new plates are coming so in place of the two new plates are coming but what are those new plates ages we does not know but what happen is like when these two plates are living and in place of these two plates enter average age of the team is increased by two months average age of the team is increased by two months now the question is saying what is the age of those two new players that is average age of those two new players now if you look here now anyway left-hand side difference is zero please neglect that so right hand side difference is linked to right answer depends is like to means 11 into 2 that is like 22 months which means when I'm coming from old plates to new plates I got increment by because I get a positive sign I got an increment increment by 2 into 11 that is nothing but 22 months more which means the new players are 22 months more than the world players world plates are 18 plus 20 that is like 38 now new plates would be 22 months more 22 months means 38 years 22 months new plates will be 38 years 22 months now they're asking us to find the average of them if we need to calculate the average of them and this is like two plates if we need to calculate average of them / - so you can say that average of those two new plates is nothing but 19 years 11 months so simple questions so all these are like questions that were asked in various examinations in the previous thing all this we are following the same technique trust me you can solve all these questions with just simple single technique left hand side depends multiple with right hands at the bottom number right hand side happens multiple to the left hand say top number but when it is with respect to replacement what Apple is like in replacement left hands the difference is 0 so you will neglect that just concentrate only open right hands reference right hands the difference multiple with left hand is a top number now the right hand of different multiple reference the top number means now it is Plus which means when you are coming from top to bottom there is an increment Y because it is plus it is incremental if it is minus which means there is a decrement as this is increment which means 11 into 2 22 months more which means new players are 22 months more than the world plates roll plates are 18 plus 2038 new plates will be 38 years 22 months the age of two new plates is 38 years old 2 months they're asking us to calculate an average of them if I calculate average of them they're like two percents 38 years 22 months / - I can say that their age is nothing but 19 years 11 months okay let us look at the next example so next example this was the cushion based upon batting average and bowling average okay now already you know what is my batting average in a bowling average batting average is nothing but so if it is like batting average batting average what is batting average batting average is nothing but total runs total runs by number of matches if it is like bowling average bowling average is nothing but total wickets total wickets be number of matches so if you're calculating batting average batting average nothing but total runs scored by number of matches there is nothing about batting average bowling every is nothing but total wickets by number of matches now if you look here if batting average is more batting average is more means he's the best batsmen so we can see that he's like a best batsmen if bowling average is more we considered his like a worst bowler why because it is like if batting average more means his performance is good so we can say him as a best batsmen but when bowling average more means his performance is not good so he considers his performance like was so both will be like Rivers batting average more means his performance is good but bowling average more means his performance is worst okay fine now even melk allocating batting errors in bowling average will be following the same technique that is like left hand side depends multiple with right hand side bottom number right hand side depends Melba with left hand is at top number that's me you can solve all these questions let us look at some more examples based on that let us solve question on batting average so a whether it is like batting or bowling would be the same concept whatever we have discussed earlier the same concept we follow the average runs of a cricket player in 10 innings was 32 runs how many runs must he make in the next inning so as to increase the average by four runs so in 10 innings 10 innings average 10 innings averages how much abuse nothing but 32 runs in the next match in the next match means initially it was 10 matches in the next match means it will 11 matches in 11 matches what happens average is increased buying four runs when average increased by 4 runs 32 plus 4 this will be less 36 now your ask you to find what how many runs he was supposed to make in the last match so how many lines he was supposed to make in the last match taking the same technique left hand sir difference left hand side offense will be plus 1 left hand side depends multiple with right hand side bottom number plus 1 into 36 this will be plus 36 right hand side with reference the top number 10 in 2 plus 4 this will be plus 14 which means we can say that in the last match if we score 76 runs then his average is increased by 4 so you considered in the last match is going to score 7-6 turns simple technique whatever we have discussed earlier the same technique where we are following again ovals well left hand side depends multiplying with right hand side bottom number right hand side depends multiple even left hands the top number when you calculate this will be coming into the resultant value okay let us look at the next question [Music] [Music] so next question it was saying you in this way a batsman has a second average of runs for his 19 innings in the 20th innings he makes hundred runs and his average is English veterans what was the average of his 20 innings so what was the average initially it was not mentioned so in 19 matches in 19 matches his average was something but what is that it was not mentioned let us assume the average is like in in the next match what happen is like he is called a hundred runs in the next match he is called hundred runs when he scored hundred runs what happens like average increased by two then it's like in the next match means in the 20th match his called hunnid runs average is increased by two initially it is n now this is going to be n plus two why because what is the value of n that was not mentioned first now we are asked to find what is the average of 20th innings so we are ask you to find the average of 20th innings now what is this average that is like after 20 innings what is going to be this average we are asking to find this one okay the same concept left hand sir difference left hand side offense will be plus 1 left hand side depends multi-with right hand side bottom number plus 1 into n plus 2 this will be n plus 2 right hand side depends multiple reference the top number 19 in 2 plus 2 this will be plus 38 is equal to now due to this now this changes are happened due to the solid runs so what happened the resultant value should equal 200 that is like plus 1 into n plus 2 plus 2 into 19 that is like 38 is equal to hundred runs is equal to hundred runs so you can say that n plus 40 is equal to hundred so n is equal to 60 if he n is 16 we can say that n plus 2 is going to be 62 which means for 20 innings his average is going to be 62 runs so answer is like 62 the same technique left hand side depends multiple with right hand side bottom number right hands a different smell filled with left hands the top number so many calculated that we came to know that for 20th inning his average is going to be 62 runs now we are taking this values as n and n plus 2 why because initially what is the average it was not mentioned as the average was not mentioning initially there is we're taking the initial averages n and when it is incremented by two average is going to be n plus 2 and when you calculate with the procedure whatever we have learned we came loaded for n matches average is like 64 this is like 16 if this is 16 when it is incremented by 2 this is going to be 62 now the same question we can go with the concept of equal dissipation as well as you can solve in this way or if you can go with the concept of equal dispersion if you go with the concept of equal dissipation what happens like the average was initially in after this hundred runs average is incremented by 2 when when this hundred 100 runs were scored in the next match then average increase by 2 average increase by 2 means each and every person is incremented by 2 2 2 2 2 2 2 how many meanings now look here average increased by 2 for each and every ending for how many for 19 innings which means 2 into 19 2 into 19 means 38 runs which means 38 runs was distributed for all the remaining innings so out of this hundred 38 runs were distributed for all the remaining innings which means the average are to present that is like after 20 in Billings is going to be 62 so it's going to give this 62 and the remaining balance 38 was distributed for all the remaining matches for all the remaining matches 2 2 to each so 2 into 19 this will be 38 which means out of 100 if I detect this 38 I will come through that the average in the 20th inning is going to be 62 the same answer we got when you solve this question as well okay so either you can solve this using this or you can go with the concept of dispersion if we go with the concept of distribution so to increase that it's like two runs increased for every match for how many matches means 19 matches 2 into 19 that is 38 runs which means out of hundred runs 38 runs were given for the 19 matches so in the 20th match the average is going to be hundred minus 38 there is something with 62 okay let's look at the next question [Music] [Applause] so next question was saying you in this vein the average of 40 innings of a cricket player is 50 nuns his highest score exceeds a lowest score by one sir deterrence if these two innings are excluded the average of the remaining is 48 runs find the highest score and even these questions are really important when you're writing something like tied to examinations and all you'll be coming across these particular okay so it was said like 40 innings cricket player average slipped appearance so for 40 innings for 40 innings average is how much 50 runs when 2 scores that is highest and lowest and it's saying that highest score exceeds the lowest score base and deterrence which main difference between highest and lowest is like 72 difference between highest score and noise to score is nothing but 1 17 students and if these two innings are exploited if this training is highest and lowest if these two are excluded what happens like the average of the remaining innings will be 48 if two innings out of this 40 if winnings are excluded X tilde means remaining will be 38 innings if these two innings are excluded the average is going to be how much 48 so average 4 remaining will be 48 remaining will be 4 did now they are asking us to find what is the highest score whereas could find the highest score in the same concept left-hand so difference left hand so difference is minus 2 right hands are difference right answer difference is minus 2 left hand so difference might fit with the right hand side bottom number minus 2 into 48 this is going to be minus 96 in the similar plane right hand side difference multiple with left hand set top number 40 into minus 2 this is minus 80 so we can say that the resultant value is going to be minus 76 you can simply neglect this negative value and you can just say this 176 now the resultant value is nothing but the two matches whatever we have excluded the two matches whatever we have X 4 is nothing but highest match and lowest match are excluded which means this 117 is nothing but combination of highest match and lowest match so one side is nothing but highest Plus Lewis so highest plus lowest is equal to 176 now we are asked you to find what is the value of highest now either can do this oral or you can calculate by simplifying the equation as well if you simplify the ignition if you subtract then what happened highest minus highest both of them gets canceled minus L minus of minus L now this is going to be minus 2l so minus L minus L what happen if you calculate this one this will be 2 L 2 L is equal to 72 and 172 minus 170 X this will be minus 4 so minus L there is like minus L minus of minus L that is really minus 2l 172 minus 1 so this will be minus 4 minus minus gets cancel L is equal to 2 so we can say that lowest score is nothing but pterence if the lowest score is 2 runs then we can say highest is going to be 174 once why because 174 plus 2 will be 176 so we can say that highest highest is equal to 174 if you ask about lowest lowest is nothing but Torrance either can calculate in this way or it can calculate it orally as well if you Cal get orally the question said that what difference between highest and lowest is like 172 which means difference between highest score lowest code should be 102 and all do you know that highest and lowest combined two they will be 176 which means out of this 176 172 is nothing but difference between highest and waves which me remaining balance is 4 now this 4 has been distributed for each of them equally if I did this for two equally if I distribute that 40 equally this will be 2 and this will be 2 then if this is 2 and this is 2 remaining balance is like 174 this 174 should be given to highest so 174 plus 2 highest will be 170 sorry so this is like 172 so this one's only do one 72 plus 2 highest will be 174 Lois will be 2 so simple thing what happen is like difference between highest and lowest is 172 highest place Louis District 176 out of this 176 172 is going to be difference if I remove this 172 I am left with 4 runs now this 4 run should be given for highest and lowest equally if I give you this forints equally highest we get Torrance lowest also we get Torrance highest is 2 lowest is 2 and we know that the remaining 172 runs should be given for the highest one so if the remaining one cent is given for highest highest will be 174 Louis will be in 2 ins so either you can solve it in this way or you can simplify the equation when you simplify the equation highest minus highest highest gets cancel my - of - sell this will be minus 2l now 172 - 1 7 6 this will be minus 4 - - gets canceled lowest is equal to - if flow h DS - highest will be 174 okay so these are like really important questions why because these questions come frequent in examinations let us look at the next question [Music] so next question these are like based on boarding averages even these bowling averages questions also really important this comes in examinations frequently let us look at that the computer was bowling average is twelve point four runs per week ADA takes five minutes in twenty-six cents and thereby decreases bowling average by zero point four the number of wickets taken by him till the last match was so when ask you to find the number of wickets taken by him till the last match so initially it is saying that initially bowling averages like twelve point four runs now what happen is like in one match he is going to take five wickets for 26 runs he is going to take five minutes for 26 tons so he is going to take five wickets for 26 runs now he is asking us to find that due to that that average of bowling is decreased by 0.4 how many because did he take till the last match so what happens like initially he took some wickets but how many tickets you took we does not know let us assume the value of M so if we'd slick n wickets n wickets bowling average is nothing but twelve point four n wickets bowling average is twelve point four in the next match is taking five wickets for 26 tons which means n plus five kids then what happen is like bowling average is decreased by 0.4 initially it is twelve point four when it is decreased by 0.4 then it is nothing but twelve now he's asking us to find how many men the kids really hit take till the last match okay fine the same concept of left-hand side difference left-hand side offense is nothing but plus five right hand side offense right hand side difference nothing but minus 0.4 now if you calculate plus 5 into 12 this is nothing but 60 minus 0.4 and TN minus 0.4 n now the resultant is nothing but this 26 cells why because due to this 26 runs for five wickets there was a change in average so the resultant value should be equal to 26 tons is equal to 26 so minus 0.40 n is equal to 60 minus 26 we can say this is minus 34 minus minus gets cancel n is equal to 34 divided by 0.4 now if you care for eight times that will be 32 for a Thames will be 32 so we can say that this is like 85 times so you can say that we kids till the last match is nothing but 85 we could still the last match simple calculation you can calculate them in the space below or this calculation can be done much easier as well if you're gonna do this calculation much easier it can be do it can be done in this way what you'll simply do is like multiply that reduce the average reduce the average means initially it is like twelve point four when it is reduced by 0.4 then average is going to be twelve multiply this reduce the average with number of the kids 12 into 512 into 5 which ones subtract this runs from the runs that was given the question 60 minus 26 60 minus 26 is nothing but 34 now divide this 34 with the change in average change in our dyslexia point 4 so we can say that directly that name profligates is going to be 85 because still the last measure simple thing what you will do slick initially bowling average is 12 point for when average is reduced by 0.4 then bowling average became 12 now this 12 should be multiplied with the number of wickets 12 into 5 that is 16 from the 60 what you will be slick subtract the runs which were given in the question in the question it was given like only 26 turns 60 minutes 26 this will be 34 now 34 divided by average reduce the average due to by 0.4 34 divided by 0.4 we can say that's like 85 let us look at one more question it gives us much clarity on that they could go to those bowling averages 24.8 Farren's / wicked he take five minutes for 50 runs and thereby decreases his average by 0.85 the number of wickets taken by him till the last match was so we are asked you to find the number of wickets take in my opinion last match we have solved a similar example previous will one more similar example so initially his bowling averages nothing but twenty four point eight five runs but how many wickets and all it was not mentioned in the next match what happened is like he is going to take five wickets for how many runs 52 runs he is taking five wickets for 52 runs thereby his average is reduced by 0.85 which means new average is going to be 24 he is asking us to find how many whicker's did he take this the last match the same question we can solve in the procedure whatever we have taken initially there is like left hand side depends multiple to the right hand side bottom number different military weapons top number when you do that he'll be getting none sir or as I told you you can solve this question directly from the question itself itself what do you dislike multi-play the new average it is like new bowling average with the number of wickets when you multiply this new bowling average with the number of wickets 24 into five there is nothing but 120 runs from this 120 runs what a real slick you need to subtract the runs that was given the question in the question was given like 52 runs now 120 minus 52 now this is nothing but 68 runs now the 68 runs has to be divided with average that is decreasing average it was decreasing in the cushioning slick average reduced by 0.85 now divide this runs with 0.85 now if you divide this runs with 0.85 will come across the number of wickets till the last match is nothing but 18 but because 85 80 times that will be 68 so we can say that till the last match number of wickets will be 80 simple thing multiply the new bowling average with the wickets when you multiply new bowling alleys wickets 24 into 5 this will be 120 runs subtract the given runs in the cushion from 120 runs 120 minus 52 that will you 16 now divide the 68 with the average reduced average reduced by 0.85 68 by 0.85 that will blink 80 let us look at one more similar example based upon this so next question it was saying you in this way it was saying that the bowling average of the cricket is twelve point four runs so bowling averages slip twelve point four now what happen is like his bowling average increases by 0.2 that is like bowling improves in Brisbane 0.2 bowling average impressed by zero point oh if it is simply improving by 0.2 twelve point four minus 0.2 now this is going to be twelve point two why when he is going to take five wickets for 2020 it stands five wickets for 26 runs so multiply this new average with wickets twelve point two into five 12.25 this will be lick 61 now what you need to supply the 61 runs from the runs that was given the cushion 61 minus 26 we can say that difference is nothing but 35 now what you need to do divide this 35 runs with the reducing average that average reduce with 0.2 35 divided by 0.2 so you can see that number of wickets taken by him till the last match is nothing but 17.5 so 2 goes over here it's nine point five times this means the number of you gets taken by him till the last match will be 175 wickets so simple thing multiplied the new bowling average with the wickets when you multiply new bowling averages wickets you'll be coming across 61 runs now subtract the 61 runs from the runs that was given the question 61 minus 26 will come across the difference now divide this 35 runs with the reducing average reduce an average lick 0.2 35 divided by 0.2 that is something but 175 so whatever we have discussed in this class like in this video we came across like bowling average batting average and person sleeping person joining and persons replacing and all this concept we are solving with one simple technique there is like left hand side offense multiplied with right hand side bottom number right hand side depends multiple with left hands our top number now all these are done in a simple manner we do not have any confusion where because many of the guys get confused when you lend them in this video is no confusion hope you guys have in your decision if you think that decision is helpful for you and if you need more of such interesting exmark logics then please subscribe to our channel and try to share this video with as many friends as possible so that it will be a real boost up for me in the next upcoming videos thank you have a nice day within the registration bye bye [Music]

Channel: Chandan Logics

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Id: 0kJyl1BgTsc

Length: 74min 10sec (4450 seconds)

Published: Mon Aug 12 2019