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A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. Divide the amount in such a way that if their shares are invested at compound interest @ 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohans share.

Rs. 2000
Rs. 3500
Rs. 5500
Rs. 2500
Explanation:

Let, Mohan and Sohan receives Rs. x and Rs. y respectively at present.
(1 + r) = 1 + 125=2625125=2625
Then, xyxy = (2625)2−3=(2625)−1=2526(2625)2−3=(2625)−1=2526
Therefore, Mohans share = 25512551 x Rs. 5100 = Rs. 2500
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