Question

Due to the fall in the rate of interest from 13% p. a. to 12 1/2 % p.a. a money lender's yearly income diminishes by rs 104.His capital is?


Very urgent!! ​

Answer 1

Given:

Due to the fall in the rate of interest from 13% p. a. to 12 1/2 % p.a. a money lender's yearly income diminishes by Rs. 104

To find:

His capital

Solution:

To solve the given problem we will use the following formula of simple interest:

$\boxed{\bold{S.I. = \frac{PRT}{100} }}$

Let's assume "P" represents the money lender's capital.

Simple Interest before the fall, S.I.₁ = $\frac{P\times 13\times 1}{100}$

and

Simple Interest after the fall, S.I.₂ = $\frac{P\times 25\times 1}{2\times 100}$

Also given that ⇒ S.I.₁ - S.I.₂ = 104

Therefore, we can form an equation as:

$\frac{P\times 13\times 1}{100} - \frac{P\times 25\times 1}{2\times 100} = 104$

$\implies \frac{P\times 13\times 1}{100} - \frac{P\times 25\times 1}{2\times 4} = 104$

$\implies 0.13P - 0.125P = 104$

$\implies 5\times 10^-^3P = 104$

$\implies P = \frac{104}{5\times 10^-^3}$

$\implies \bold{P = 20800}$

Thus, the money lender's capital is Rs. 20800.

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Answer 2

option a is correct ..................