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Question

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?

Options:
A .  Rs 51.25
B .  Rs 52
C .  Rs 54.25
D .  Rs 60
E .  None of these
Answer: Option A
 -   Sum = Rs.    50 x 100    = Rs. 500. 2 x 5  
Amount =  Rs.   500 x   (   1 +   5  ) 2   100  
= Rs.  
500  x 
21   x 
21   20 20  
= Rs. 551.25  
  C.I. = Rs. (551.25 - 500) = Rs. 51.25

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