The banker's discount on Rs. 2400 at 12 % p.a | vedclass

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

Question

(B) Let the time be $T$ years and the rate be $R = 12 \%$.Banker's Discount $(BD)$ on $Rs. 2400$ is given by $BD = \frac{P 	imes R 	imes T}{100} = \

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(B) Let the time be $T$ years and the rate be $R = 12 \%$.Banker's Discount $(BD)$ on $Rs. 2400$ is given by $BD = \frac{P 	imes R 	imes T}{100} = \frac{2400 	imes 12 	imes T}{100} = 288T$.True Discount $(TD)$ on $Rs. 2520$ is given by $TD = \frac{Amount 	imes R 	imes T}{100 + (R 	imes T)} = \frac{2520 	imes 12 	imes T}{100 + 12T}$.Given that $BD = TD$,we have $288T = \frac{2520 	imes 12 	imes T}{100 + 12T}$.Since $T 
eq 0$,we can divide by $T$: $288 = \frac{30240}{100 + 12T}$.$288(100 + 12T) = 30240$.$28800 + 3456T = 30240$.$3456T = 30240 - 28800 = 1440$.$T = \frac{1440}{3456} = \frac{5}{12}$ years.Time in months $= \frac{5}{12} 	imes 12 = 5$ months.

The banker's discount on $Rs. 2400$ at $12 \%$ p.a. is the same as the true discount on $Rs. 2520$ for the same time and at the same rate. The time is (in months):

Similar Questions

The banker's gain of a certain sum due $2$ $years$ hence at $12 \frac{1}{2} \%$ per annum is $Rs.\,36$. The present worth is (in $Rs.$)

After giving $20 \%$ discount on an article there is a profit of $20 \%$. What will be the profit percent when no discount is given (in $\%$)?

$A$ shopkeeper marks up his wares by $60 \%$ and offers a $10 \%$ discount. What will be the selling price (in $Rs.$) if the cost price is $Rs.\, 7500$?

The banker's discount on a sum of money for $1 \frac{1}{2}$ years is $Rs.\, 837$ and the true discount on the same sum for $2$ years is $Rs.\, 900$. The rate percent is:

Find the present worth $(P.W.)$ and the true discount $(T.D.)$ reckoning $6 \%$ per annum simple interest of $Rs. 176$ due in $20 \text{ months}$ time. (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module