If the simple interest on a certain sum of mo | vedclass

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(C) Let the principal sum be $P = x$.According to the problem,the simple interest $I = \frac{4}{25}x$.Let the rate of interest be $r \%$ per annum and

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$4$

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(C) Let the principal sum be $P = x$.According to the problem,the simple interest $I = \frac{4}{25}x$.Let the rate of interest be $r \%$ per annum and the time period be $T = r$ years.The formula for simple interest is $I = \frac{P 	imes R 	imes T}{100}$.Substituting the values: $\frac{4}{25}x = \frac{x 	imes r 	imes r}{100}$.Dividing both sides by $x$: $\frac{4}{25} = \frac{r^2}{100}$.Multiplying both sides by $100$: $r^2 = \frac{4 	imes 100}{25} = 4 	imes 4 = 16$.Taking the square root: $r = \sqrt{16} = 4$.Thus,the rate of interest is $4 \%$ per annum.

If the simple interest on a certain sum of money is $\frac{4}{25}$ of the sum and the rate per cent equals the number of years,then the rate of interest (in $\%$) per annum is

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