the difference between the compound interest and simple on a sum of..., Compound Interest, General Mathematics

Question:The difference between the compound interest and the simple interest on a sum of money for two years at `12 1/2 %` per annum is Tk. 150 The sum is:

A Tk. 9000 
B Tk. 9200 
C Tk 9500 
D Tk 9600

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+ AnswerD

+ ExplanationLet the sum be Tk. `x.` Then,

C.I. 
`= x ( 1 + 25/(2 xx 100))^2 - x `
`= (9/8 xx 9/8)x - x` 
`= (17x)/64`

S.I. =`( x xx 25/2 xx 1/100)`
` = x/4`

(C.I) - (S.I) 
`= ((17x)/64 - x/4)`
`= x/64`

`:. x/64` 
`= 150`or 
`x=9600`

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