At what rate per cent of simple interest will | vedclass

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(B) Let the principal amount be $P$ and the rate of interest be $R \%$ per annum.Since the sum doubles itself,the final amount $A = 2P$.The simple int

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$8 \frac{1}{3} \%$

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(B) Let the principal amount be $P$ and the rate of interest be $R \%$ per annum.Since the sum doubles itself,the final amount $A = 2P$.The simple interest $SI = A - P = 2P - P = P$.The formula for simple interest is $SI = \frac{P 	imes R 	imes T}{100}$,where $T$ is the time in years.Substituting the values,we get $P = \frac{P 	imes R 	imes 12}{100}$.Dividing both sides by $P$,we get $1 = \frac{12R}{100}$.$R = \frac{100}{12} = \frac{25}{3} = 8 \frac{1}{3} \%$.

At what rate per cent of simple interest will a sum of money double itself in $12$ years?

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