True discount on Rs. 3024 due 6 months hence | vedclass

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Question

(C) The Amount $(A)$ is $Rs. 3024$ and the True Discount $(T.D.)$ is $Rs. 144$.The Present Worth $(P.W.)$ is calculated as $P.W. = A - T.D. = 3024 - 1

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(C) The Amount $(A)$ is $Rs. 3024$ and the True Discount $(T.D.)$ is $Rs. 144$.The Present Worth $(P.W.)$ is calculated as $P.W. = A - T.D. = 3024 - 144 = Rs. 2880$.The True Discount is equivalent to the Simple Interest $(S.I.)$ on the Present Worth for the given time period.Time $(T)$ = $6$ months = $\frac{6}{12} = 0.5$ years.Using the formula $S.I. = \frac{P 	imes R 	imes T}{100}$,where $P = P.W. = 2880$,$S.I. = 144$,and $T = 0.5$:$144 = \frac{2880 	imes R 	imes 0.5}{100}$$144 = \frac{1440 	imes R}{100}$$144 = 14.4 	imes R$$R = \frac{144}{14.4} = 10\%$.Therefore,the rate percent is $10\%$.

True discount on $Rs. 3024$ due $6$ months hence is $Rs. 144$. The rate percent is: (in $\%$)

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