If Rs. 10 is allowed as true discount on a bi | vedclass

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(D) The true discount $(T.D.)$ is the simple interest $(S.I.)$ on the present worth $(P.W.)$.Given,$Amount = Rs. 110$ and $T.D. = Rs. 10$.Therefore,$P

Vedclass · Accepted Answer

$18.33$

Vedclass · Answer

(D) The true discount $(T.D.)$ is the simple interest $(S.I.)$ on the present worth $(P.W.)$.Given,$Amount = Rs. 110$ and $T.D. = Rs. 10$.Therefore,$P.W. = Amount - T.D. = 110 - 10 = Rs. 100$.For the same $P.W.$ of $Rs. 100$,if the time is doubled,the simple interest also doubles.New $T.D. = 2 	imes 10 = Rs. 20$.Now,the new amount becomes $P.W. + 	ext{New } T.D. = 100 + 20 = Rs. 120$.We need to find the discount on the original amount of $Rs. 110$ for this new time period.Discount $= \frac{	ext{New } T.D.}{	ext{New Amount}} 	imes 	ext{Original Amount} = \frac{20}{120} 	imes 110 = \frac{1}{6} 	imes 110 = Rs. 18.33$.

If $Rs. 10$ is allowed as true discount on a bill of $Rs. 110$ due at the end of a certain time,then the discount allowed on the same amount due at the end of double the time is (in $Rs.$)

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