on what sum of money will the simple interest for 3 years..., Compound Interest, General Mathematics

Question:On what sum of money will the simple interest for `3` years at `8%` per annum be half of the compound interest on Rs.`400` for `2` years at `10%` per annum ?

A `Rs. 125` 
B `Rs. 150` 
C `Rs. 175` 
D `Rs. 200`

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+ AnswerC

+ ExplanationC.I. on Rs.`400` for `2` years at `10%` p.a.

`= Rs. [400 xx (1 + 10/100)^2 - 400]`

`= Rs. 84`

required S.I.`= 1/2 xx Rs. 84`

`= Rs. 42`.

Now S.I.` = Rs. 42,`Time`= 3`years & Rate` = 8%`

`:. sum` `= Rs.((100 xx 42)/(3 xx 8))`

`= Rs. 175`

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