Question:The compound interest on a certain sum at `5%` per annum for `2` years is Rs.`328`.The simple interest for sum at the same rate and for the same period will be : 

A `Rs. 320` 
B `Rs. 322` 
C `Rs. 325` 
D `Rs. 326` 

+ Answer
A 

+ Explanation
Let the sum be.x.Then,

C.I` = x (1 + 5/100)^2 - x`

`= ((441x)/400 - x)`

`= (41x)/400`

`:. (41x/400`

`= 328`

`or x = (328 xx 400)/41`

`= 3200`

`:. S.I.Rs. ((3200 xx 5 xx 2)/100`

`=Rs. 320`.

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