1. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525 . The simple interest on the same sum for double the time at half the rate percent per annum is :
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By: anil on 05 May 2019 01.50 am
Let the sum = Rs. $$100x$$ For compound interest, rate of interest (r) = 10% and time (t) = 2 years => $$C.I. = P[(1+frac{r}{100})^t-1]$$ => $$100x[(1+frac{10}{100})^2-1]=525$$ => $$100x[(frac{11}{10})^2-1]=525$$ => $$100x imes (frac{121-100}{100})=525$$ => $$21x=525$$ => $$x=frac{525}{21}=25$$ $$ herefore$$ Sum invested = Rs. 2500 For simple interest, rate of interest (r) = 5% and time (t) = 4 years => $$S.I.= frac{P imes r imes t}{100}$$ = $$frac{2500 imes 5 imes 4}{100}$$ = $$25 imes 20=Rs.$$ $$500$$ => Ans - (C)
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