Question

the banker's gain on a certain sum due 1 1/2 years hence is 3/25 of the banker's discount. the rate percent is:

Answer 1

Given:

The banker's gain on a certain sum due 1 1/2 years hence is 3/25 of the banker's discount.

To find:

The rate percentage

Solution:

Let Rs. "x" represents the banker's discount.

Then, the banker's gain = $Rs. \:\frac{3}{25} x$

∴ The true discount is,

= Banker's Discount - Banker's gain

= $x - \frac{3x}{25}$

= $\frac{22x}{25}$

∴ The sum is,

= $\frac{B.D. \:\times \:T.D.}{B.D.\: - \:T.D.}$

= $\frac{x \:\times \:\frac{22x}{25} }{x\: - \:\frac{22x}{25} }$

= $\frac{\frac{22x}{25} }{\frac{25 - 22}{25} }$

$= \frac{\frac{22x}{25} }{\frac{3}{25} }$

$= \frac{22x }{3 }$

We know that,

Banker's discount = S.I. on Rs. $\frac{22}{3}$ for $\frac{3}{2}$ years

∴ $x = \frac{\frac{22x}{3} \times \frac{3}{2} \times R}{100}$

$\implies 1 = \frac{11 \times R}{100}$

$\implies R = \frac{100}{11}$

$\implies \bold{R = 9\frac{1}{11} \%}$

Thus, the rate percentage is → $\underline{\bold{9\frac{1}{11}}}$.

------------------------------------------------------------------------------------------

Also View:

Find the true discount, Banker's discount and Banker's gain on a bill of Rs 4,240 due 6 months hence at 9% pa​?

https://brainly.in/question/20320032

A bill for RS.5460 was drawn on 12/6/2007.at 6 months date and discontinued on 17/8/2007 at the rate of 5%. find bankers discount in his bill.

brainly.in/question/13820144

True discount on the sum due 8 months hence at 12% p.a. is Rs.560. Find the sum due and present worth of the bill.

brainly.in/question/19410425