The compound interest on a certain sum for 2 | vedclass

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(D) Given: Compound Interest $(CI)$ = $Rs. 1272$,Time $(t)$ = $2$ years,Rate $(r)$ = $12 \%$ per annum.The formula for compound interest is: $CI = P \

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$1200$

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(D) Given: Compound Interest $(CI)$ = $Rs. 1272$,Time $(t)$ = $2$ years,Rate $(r)$ = $12 \%$ per annum.The formula for compound interest is: $CI = P \left[\left(1 + \frac{r}{100}ight)^t - 1ight]$Substituting the values: $1272 = P \left[\left(1 + \frac{12}{100}ight)^2 - 1ight]$$1272 = P \left[(1.12)^2 - 1ight]$$1272 = P [1.2544 - 1]$$1272 = P 	imes 0.2544$$P = \frac{1272}{0.2544} = 5000$Now,calculate the simple interest $(SI)$ using the formula: $SI = \frac{P 	imes r 	imes t}{100}$$SI = \frac{5000 	imes 12 	imes 2}{100}$$SI = 50 	imes 24 = 1200$Therefore,the simple interest is $Rs. 1200$.

The compound interest on a certain sum for $2$ years at $12 \%$ per annum,compounded annually is $Rs. 1272$. The simple interest (in $Rs.$) for that sum at the same rate and for the same period will be?

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