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If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

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1. 

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

[A]. Rs. 51.25
[B]. Rs. 52
[C]. Rs. 54.25
[D]. Rs. 60

Answer: Option A

Explanation:

Sum = Rs. 1-sym-oparen-h1 50 x 100 1-sym-cparen-h1 = Rs. 500.
2 x 5
Amount
= Rs. 1-sym-obracket-h1 500 x 1-sym-oparen-h1 1 + 5 1-sym-cparen-h1 2 1-sym-cbracket-h1
100
 
= Rs. 1-sym-oparen-h1 500 x 21 x 21 1-sym-cparen-h1
20 20
  = Rs. 551.25

 C.I. = Rs. (551.25 - 500) = Rs. 51.25

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