Question

A sum of money invested at compound interest amounts to Rs. 4624 in  2 years and to Rs. 4913 in  3 ye3ars. The sum of  money is :


Options:
A .  Rs. 4096
B .  Rs. 4260
C .  Rs. 4335
D .  Rs. 4360
Answer: Option A

S.I. on Rs. 4624 for 1 year =  Rs. (4913 - 4624 ) = Rs. 289.

`:.`     Rate = `((100 xx 289)/(4624 xx 1))`% =   `25/4`% = `6 1/4`%

Now, `x(1 + (25)/(4 xx 100))^2 = 4624`

or  ` x xx 17/16 xx 17/16 = 4624`

`:.`    `x = (4624 xx 16/17 xx 16/17)` =  Rs. 4096.




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