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(B) Let the principal sum be $P = x$.Since the sum is doubled,the final amount becomes $2x$.Therefore,the Simple Interest $(S.I.)$ earned is $Amount -

Vedclass · Accepted Answer

$8$

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(B) Let the principal sum be $P = x$.Since the sum is doubled,the final amount becomes $2x$.Therefore,the Simple Interest $(S.I.)$ earned is $Amount - Principal = 2x - x = x$.The rate of interest $(R)$ is $12 \frac{1}{2} \% = 12.5 \% = \frac{25}{2} \%$.The formula for Simple Interest is $S.I. = \frac{P 	imes N 	imes R}{100}$,where $N$ is the time in years.Substituting the values: $x = \frac{x 	imes N 	imes 12.5}{100}$.Dividing both sides by $x$: $1 = \frac{N 	imes 12.5}{100}$.$N = \frac{100}{12.5} = 8$.Thus,the time taken is $8$ years.

$A$ sum was doubled with $12 \frac{1}{2} \%$ rate of simple interest per annum. The time taken (in years) for that sum is:

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