A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.
Correct answer: B
Explanation
Let, the amount Mohan and Sohan receive be Rs. m and Rs. n, respectively. The amount that they receive 3 years and 2 years after should be equal.
⇒m(1+4/100)3=n(1+4/100)2
⇒m(1+4/100)=n
⇒m(26/25)=n
⇒m/n=25/26
Therefore, Rs.5100 must be distribued in the ratio 25 : 26
So Mohan's share = 5100×25/(25+26)=2500
Answer B
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