Rs. 20 is the true discount on Rs. 260 due af | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the principal amount be $P$ and the time be $t$. The amount due is $A = P + T.D. = 260$. Given $T.D. = 20$,so $P = 260 - 20 = 240$.Simple Inte

Vedclass · Accepted Answer

$10.40$

Vedclass · Answer

(B) Let the principal amount be $P$ and the time be $t$. The amount due is $A = P + T.D. = 260$. Given $T.D. = 20$,so $P = 260 - 20 = 240$.Simple Interest $(S.I.)$ on $P$ for time $t$ is equal to the True Discount $(T.D.)$,so $S.I. = 20$.Since $S.I. = \frac{P 	imes R 	imes t}{100}$,we have $20 = \frac{240 	imes R 	imes t}{100}$,which implies $R 	imes t = \frac{2000}{240} = \frac{25}{3}$.Now,for half the time $(t' = t/2)$,the new $T.D.'$ is the $S.I.$ on the present worth $P'$ for time $t/2$.The present worth $P'$ is calculated as $P' = \frac{A 	imes 100}{100 + (R 	imes t')}$.Substituting $R 	imes t' = \frac{1}{2} 	imes \frac{25}{3} = \frac{25}{6}$,we get $P' = \frac{260 	imes 100}{100 + 25/6} = \frac{260 	imes 600}{625} = \frac{156000}{625} = 249.6$.The new $T.D.' = A - P' = 260 - 249.6 = 10.40$.

$Rs. 20$ is the true discount on $Rs. 260$ due after a certain time. What will be the true discount on the same amount due after half of the earlier time,the rate of interest being the same? (in $Rs.$)

Similar Questions

On a television of brand $A$,the discount is $25\%$ and on a television of brand $B$,the discount is $40\%$. The price of $B$ after discount is $Rs.\, 2,250$ greater than the price of $A$ after discount. What is the marked price of $A$ (in $Rs.$) if the marked price of $B$ is $Rs.\, 35,000$?

The marked price of an article is twice the cost price. For a gain of $30 \%$,what should be the discount percentage?

The banker's gain on a bill due $1$ $year$ hence at $15 \%$ p.a. is $Rs.\, 9$. The true discount is (in $Rs.$)

The true discount on a bill of $Rs.\, 1260$ due for $6$ months at $10 \%$ per annum is (in $Rs.$):

The $B.G.$ (Banker's Gain) on a sum due $3 \text{ years}$ at $10 \%$ per annum is $Rs. 180$. The $B.D.$ (Banker's Discount) is (in $Rs.$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module