a sum of money is lent out at compound interest rate of 20% per annum for 2 years. it would fetch Rs.482 more if interest is compounded half-yearly. Find the sum.
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15
Let sum=Rs.x
C.I. when compounded half yearly = [x(1+10100)4−x]=464110000x1+101004-x=464110000
C.I. when compounded annually =[x(20100)2−x]=1125x201002-x=1125
464110000x−1125x=482464110000x-1125x=482
=> x=20000
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