Question
A sum of money lent at compound interest for 2 years a 20% per annum would fetch Rs. 482 more , if the interest was payable than if it was payable annually . The sum is :
Answer: Option B
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Let he sum be Rs. `x` , Then
C.I. when compounded half -yearly
= `[x xx (1 + 10/100)^4 - x] = 4641/10000 x`
C.I. when compounded annually = `[x xx (1 + 20/100)^2 - x] = 11/25 x`
`:.` ` 4641/10000 x - 11/25 x = 482`
or `x = (482 xx 10000)/(241) ` = 20000.
`x` = 20000.
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