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A sum of ₹ 8448 is to be divided between A and B who are respectively 18 and 19 yr old, in such a way that if their shares be invested at 6.25 % per annum at compound interest, they will receive equal amounts on attaining the age of 21 yr. The present share of A is
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- ₹ 4225
- ₹ 4352
- ₹ 4096
- ₹ 4000
Correct Option: C
Let shares of A and B be ₹ N and ₹ (8448 - N), respectively,
Amount got by A after 3 yr = Amount got by B after 2 yr
N(1 + 6.25/100)3 = (8448 - N) x (1 + 6.25/100)2
⇒ 1 + 6.25/100 = (8448 - N)/N
⇒ 1 + 1/16 = (8448 - N)/N
⇒ 17/16 = (8448 - N)/N
⇒ 17N = 135168 - 16N
⇒ N = 4096
