if the difference between compound interest compounded half yearly and simple..., Compound Interest, General Mathematics

Question:If the difference between the compound interest, compounded half yearly and the simple interest on a sum at `10%` per annum for one year is Rs.`25`,the sum is :

A `Rs. 9000` 
B `Rs. 9500` 
C `Rs. 10000` 
D `Rs. 10500`

/44

+ AnswerC

+ ExplanationLet the sum be Rs.x. Then,

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

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

`= (41x)/400`

S.I.`= (x xx 10 xx 1)/100`

`= x/10`

(C.I) - (S.I)`= (41x)/400 - x/10`

`= x/400`

`:. x/400 = 25`

`or x 10000`.

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