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 Tk. 25, the sum is:

A Tk. 9000 
B Tk 9500 
C Tk 10000 
D 10,500

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+ AnswerC

+ ExplanationLet the sum be Tk. `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`

Hence, the sum is Tk. 10000.

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