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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 sum (in Rs.) is:

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1. 

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 sum (in Rs.) is:

[A]. 625
[B]. 630
[C]. 640
[D]. 650

Answer: Option A

Explanation:

Let the sum be Rs. x. Then,

C.I. = 1-sym-obracket-h1 x 1-sym-oparen-h1 1 + 4 1-sym-cparen-h1 2 - x 1-sym-cbracket-h1 = 1-sym-oparen-h1 676 x - x 1-sym-cparen-h1 = 51 x.
100 625 625
S.I. = 1-sym-oparen-h1 x x 4 x 2 1-sym-cparen-h1 = 2x .
100 25
51x - 2x = 1
625 25

 x = 625.

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