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Age Group Average Problem

Posted on by Daniel Dsouza

The Age Group Average Problem is as follows :

Question :

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find out how much younger is that new member ? :) 

solved aptitude problems

solved aptitude problems

 

 

 

 

 

 

 

 

 

 

Solution :

Now to solve this sum, there are many complicated ways :) But Ill show you the simplest one :)

We know that since there are 10 members, after 4 yrs each of them gets 4 yrs older. Hence the group combined, has aged 40 yrs. Hence,
If the new member has to keep the average the same as 4 yrs ago, he should be 40 yrs younger than the member he is replacing 😉

Hence the answer is 40 yrs 

 

Got a doubt ? :) Leave me a comment and Ill get back to you :)

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Aptitude Doubts : Hussain Liyaqat

Posted on by Daniel Dsouza

Hello Guys :) .. This question was sent in by our friend Hussain Liyaqat :)  He had a doubt regarding a sum on Partnerships :)

The aptitude question is as follows :

Question :

A and B entered a partnership with investments of Rs.15000 and Rs. 40000 respectively. After 3 months, A left from the business. At the same time, C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find B’s share in it  :)

a). 4800

b). 600

c). 2400

d). 1200

 

Solution :

Alright now to solve this problem, you need to find the ratios of their investments.

So to do that, find the product of Money Invested X How much Time it is Invested

So now to simplify our calculations a bit, lets divide all the 3 quantities by 1000 { it wont matter, since we are calculating ratios }

So , for A it will be

A = (15 X 3 months) = 45

B = (40 X 9 months) = 360

C = (30 X 6 months) = 180

So if you add it up … 45 + 360 + 180 = 585  :)

So now we can say that, If the profit is divided into 585 parts, then A gets 45 parts or (45/585) of it. B gets 360 parts or (360/585) of it and Similarly C gets 180 parts or (180/585) of it :)

Hence since B’s share is asked, we can say that B’s share of the profit is

B’s Share of Profit = (360/585) X 7800 = 4800 :)

Hence the answer is (a) 4800 :)

Hope you’re doubt is now cleared Hussain :)

Readers! :) If you find any problem, send it to me and Ill solve here for you in a simple way :) Keep Learning! 😉Â