Rs. 21 is the true discount on Rs. 371 for a | vedclass

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(B) The Present Worth $(P.W.)$ of $Rs. 371$ is $Rs. (371 - 21) = Rs. 350$.We know that True Discount $(T.D.)$ is equivalent to the Simple Interest on

Vedclass · Accepted Answer

$39.75$

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(B) The Present Worth $(P.W.)$ of $Rs. 371$ is $Rs. (371 - 21) = Rs. 350$.We know that True Discount $(T.D.)$ is equivalent to the Simple Interest on the $P.W.$Therefore,Simple Interest on $Rs. 350$ for a certain period at a certain rate is $Rs. 21$.If the time is doubled while the rate remains the same,the Simple Interest on $Rs. 350$ becomes $21 	imes 2 = Rs. 42$.This $Rs. 42$ is the $T.D.$ on the amount $(P.W. + T.D.) = Rs. (350 + 42) = Rs. 392$.To find the $T.D.$ on the original sum of $Rs. 371$ for double the time,we use the formula: $T.D. = \frac{T.D. 	ext{ on } (P.W. + T.D.)}{(P.W. + T.D.)} 	imes 	ext{Sum}$.$T.D. = \frac{42}{392} 	imes 371 = Rs. 39.75$.

$Rs. 21$ is the true discount on $Rs. 371$ for a certain time at a certain rate of interest. If the rate of interest is kept the same,the true discount on the same sum for double that time will be (in $Rs.$)

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