Question

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The swum (in Rs.) is


Options:
A .  Rs. 625
B .  Rs. 630
C .  Rs. 640
D .  Rs.650
Answer: Option A

Let the sum be Rs. `x `,  Then ,

C.I. = `[x (1 + 4/100)^2 - x]`

=`(676/625 x - x)` = ` 51/625 x`

S.I. = `((x xx 4 xx 2)/(100)) = (2x)/(25)`

`:.`    ` (51x)/(625) - (2x)/(25)` = 1.

or `x` = 625.




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