Question

4 friends- Ajay, Suresh, Mahesh and Rakesh- contribute towards a charity. Ajay contributes 1/4th as much as the remaining 3 friends contribute together. Suresh contributes 1/3rd as much as the remaining 3 friends contribute together. Rakesh contributes 1/2 as much as the remaining 3 friends contribute together. Total contribution of all the 4 friends towards the charity was Rs 90000/-. How much (in Rs) did Mahesh contribute to the charity?

Answer 1

Answer:

Let the total contribution by all 4 friends be Rs 100 .

Now  Ajay contributes 1/4th of what all the remaining friends contribute . Let Ajays contribution  be  x .So the contribution of the remaining 3 friends will be 4x .So x +4x =100 which gives x=20 .So Ajay contributes 20% of the total.

Suresh contributes 1/3rd of what all the remaining friends contribute .So if Suresh contributes Rs y ,the reamaining 3 friends contribute Rs 3y .y + 3y =100 which gives y=25 .So Suresh contributes 25% of the total

Rakesh contributes 1/2 of what all the remaining friends contribute .So if Rakesh contributes Rs z ,the others will contribute a total of Rs 2z .z +2z=100 which gives z=(100/3)So Rakesh contributes (100/3)% of the total

So Mahesh's contribution = 100-20-25-(100/3) = (65/3)%  

Mahesh contributes (65/300) of 90000 = Rs 19500.

Answer 2

Given :  4 friends- Ajay, Suresh, Mahesh and Rakesh- contribute towards a charity.  Total contribution of all the 4 friends towards the charity was Rs 90000/-

To find : How much (in Rs) did Mahesh contribute to the charity

Solution:

Ajay Contribution = A

Suresh Contribution = S

Mahesh Contribution = M

Rakesh contribution = R

4A  = S + M + R

3S  = A  + M  + R

2R  =  A  + S  + M

S + M + R  + A    =  90000

=>S + M + R  = 90000 - A  

or  M + R  + A    = 90000 - S  

or  A + S + M = 90000 - R

Using these equations

4A  = 90000 - A

=> 5A = 90000

=> A  = 18000

3S   = 90000 - S

=> 4S = 90000

=> S = 22500

2R  =  90000 - R

=> 3R = 90000

=> R = 30000

22500 + M + 30000 + 18000  = 90000

=> M  = 19500

Mahesh contribute   Rs 19500 to the Charity

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