Question:If the simple interest  on a sum of money at `5%`per annum for `3` years is Rs.`1200`, the compound interest on the same sum for the same period at the same rate, is : 

A `Rs. 1260` 
B `Rs. 1261` 
C `Rs. 1264` 
D `Rs. 1265` 

+ Answer
B 

+ Explanation
Sum`= Rs.((100 xx 1200)/(3 xx 5))`

`= Rs. 8000.`

Amount`= Rs.[ 8000 xx ( 1 + 5/100)^3]`

`= Rs.( 8000 xx 21/20 xx 21/20 xx 21/20)`

`= Rs. 9261`

:. C.I.`= Rs. (9261 - 8000)`

`=Rs. 1261`.

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