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
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