[121 : 100] A certain sum is to be divided between A and B so that after 5 years the amount received by A is equ

For Competitive Exams

A certain sum is to be divided between A and B so that after 5 years the amount received by A is equal to the amount received by B after 7 years. The rate of interest is 10%, interest compounded annually. Find the ratio of amounts invested by them.

121 : 100

131 : 100

161 : 100

151: 100

Explanation:

Let the sum (principal) received by A and B are x and y.
(1 + r) = 1 + 110=1110110=1110
Then, xy=(1110)7−5=(1110)2=121100xy=(1110)7−5=(1110)2=121100
Hence, the ratio in which the sum is divided = 121 : 100

Additional Questions

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