1. Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs. 10000 for 2 years at 10% per annum. The sum placed on simple interest is
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By: anil on 05 May 2019 02.09 am
Sum for compound interest = Rs. 10000 Rate of interest = 10% and time period = 2 years Compound interest = $$P [(1 + frac{R}{100})^T - 1]$$ = $$10000 [(1 + frac{10}{100})^2 - 1]$$ = $$10000 [(frac{11}{10})^2 - 1] = 10000 (frac{121 - 100}{100})$$ = $$100 imes 21 = $$Rs. $$2100$$ => Simple interest = $$frac{2100}{2} = Rs. 1050$$ Let sum under simple interest = $$Rs. x$$ Rate of interest = 14% and time period = 3 years Simple interest = $$frac{P imes R imes T}{100}$$ = $$frac{x imes 14 imes 3}{100} = 1050$$ => $$x = frac{1050 imes 100}{42} = 100 imes 25 = Rs. 2500$$ => Ans - (D)
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