the compound interest on a sum for 2 years is rs 832..., Compound Interest, General Mathematics

Question:The compound interest on a sum for `2` years is Rs.`832` and the simple interest on the same sum for the same period is Rs.`800`. The difference between the compound interest and the simple interest for `3` years will be :

A `Rs. 48` 
B `Rs. 66.56` 
C `Rs. 98.56` 
D none of these

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+ AnswerB

+ ExplanationDiff. in C.I. & S.I.for `2` years `= Rs. 32`

S.I. for `1` years`= Rs.400`.

:. S.I. on Rs.`400` for `1` year`= Rs.32`

:. Rate `= ((100 xx 32)/(400 xx 1))%`

`= 8%`

Hence, diff. in C.I. and S.I. for `3rd` year 

= S.I.on Rs.`832`

`= Rs. (832 xx 8/100 xx 1)`

`= Rs. 66.56`.

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