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Question

Divide Rs. 36,465 between A and B so that when their shares are lent out at 10 per cent compound interest per year, the amount that A receives in 7 years is the same as what B receives in 5 years.

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Solution

Let A's share = Rs. x
B's share = Rs (36465 - x)
Given : Amount of A in 7 years = Amount of B in 5 years
x(1+10100)7=(36465x)(1+10100)5
x(1+10100)2=36465x
x×110100×110100=36465x
121100x=36465x
121100x+x=36465
221x100=36465
x=36465×100221
x=16500
B's share =36465x=3646516500=19965
A's share = Rs. 16500 and B's share = Rs. 19965

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