The compound interest on a certain sum for 2 | vedclass

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(C) Let the principal sum be $P = ₹ 100x$.For compound interest,rate $r = 10 \%$,time $t = 2$ years.$C.I. = P \left[ \left( 1 + \frac{r}{100} \right)^

Vedclass · Accepted Answer

$500$

Vedclass · Answer

(C) Let the principal sum be $P = ₹ 100x$.For compound interest,rate $r = 10 \%$,time $t = 2$ years.$C.I. = P \left[ \left( 1 + \frac{r}{100} ight)^t - 1 ight]$$525 = 100x \left[ \left( 1 + \frac{10}{100} ight)^2 - 1 ight]$$525 = 100x \left[ \left( \frac{11}{10} ight)^2 - 1 ight]$$525 = 100x \left[ \frac{121}{100} - 1 ight]$$525 = 100x \left( \frac{21}{100} ight) = 21x$$x = \frac{525}{21} = 25$.Therefore,the principal sum $P = 100 	imes 25 = ₹ 2500$.Now,for simple interest,the new time $T = 2 	imes 2 = 4$ years and the new rate $R = \frac{10}{2} = 5 \%$.$S.I. = \frac{P 	imes R 	imes T}{100} = \frac{2500 	imes 5 	imes 4}{100} = 25 	imes 20 = ₹ 500$.

The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525$. The simple interest (in ₹) on the same sum for double the time at half the rate percent per annum is

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