At what rate per cent per annum will a sum of | vedclass

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(B) Let the principal be $P$ and the rate of interest be $R \%$ per annum.Since the sum doubles in $16$ years,the Simple Interest $(SI)$ earned will b

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$6$

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(B) Let the principal be $P$ and the rate of interest be $R \%$ per annum.Since the sum doubles in $16$ years,the Simple Interest $(SI)$ earned will be $SI = 2P - P = P$.The formula for Simple Interest is $SI = \frac{P 	imes R 	imes T}{100}$.Substituting the values,we get $P = \frac{P 	imes R 	imes 16}{100}$.Dividing both sides by $P$,we get $1 = \frac{16R}{100}$.Solving for $R$,we get $R = \frac{100}{16} = 6.25 \%$.Therefore,the rate of interest is $6.25 \%$ per annum.

At what rate per cent per annum will a sum of money double in $16$ years (in $.25$)?

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