The simple interest on a sum of money is frac | vedclass

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(D) Let the principal sum be $P$ and the rate of interest be $R \%$ per annum.According to the problem,the simple interest $(S.I.)$ is $\frac{8}{25} P

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$8$

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(D) Let the principal sum be $P$ and the rate of interest be $R \%$ per annum.According to the problem,the simple interest $(S.I.)$ is $\frac{8}{25} P$.The time period $(T)$ in years is numerically half the rate percent per annum,so $T = \frac{R}{2}$.The formula for simple interest is $S.I. = \frac{P 	imes R 	imes T}{100}$.Substituting the given values: $\frac{8}{25} P = \frac{P 	imes R 	imes (R/2)}{100}$.Canceling $P$ from both sides: $\frac{8}{25} = \frac{R^2}{200}$.Solving for $R^2$: $R^2 = \frac{8 	imes 200}{25} = 8 	imes 8 = 64$.Taking the square root: $R = \sqrt{64} = 8$.Thus,the rate percent per annum is $8 \%$.

The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half the rate percent per annum,then the rate percent per annum is

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