1. Rs 10000 is kept at compound interest at an interest rate of 18% per annum (compounding annually). If the compounding of interest is done half yearly, then how much more interest (in Rs) will be obtained?





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  • By: anil on 05 May 2019 02.03 am
    Principal sum = Rs. 10,000 Time period = 1 year and rate of interest = 18% => Difference between compound interest compound annually and half yearly = $$[P(1+frac{R}{200})^{2T}-P]-[P(1+frac{R}{100})^T-P]$$ = $$P[(1+frac{18}{200})^2-(1+frac{18}{100})^1$$] = $$10,000[(1+frac{9}{100})^2-(1+frac{18}{100})]$$ = $$10,000[(frac{109}{100})^2-(frac{118}{100})]$$ = $$10,000[frac{(109)^2-(118 imes100)}{10000}]$$ = $$11881-11800=Rs.$$ $$81$$ => Ans - (C)
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