Question

A certain sum of money at



c.I. Amount to rs 2645 in 2 years and rs 3041.75 in 3 years.Find the rate of interest

Answer 1

Given:

A certain sum of money at   c.I. Amount to rs 2645 in 2 years and rs 3041.75 in 3 years

To find:

The rate of interest

Solution:

Let "R" represent the rate of interest.

The formula to find the amount in compound interest is given as,

$\boxed{\bold{A = P(1+\frac{R}{100} )^n}}$

where

A = amount

P = principal

R = rate of interest

n = time period

As given in the question and using the formula, we can form two equations such as:

$2645 = P(1+\frac{R}{100} )^2$..... (i)

and

$3041.75 = P(1+\frac{R}{100} )^3$...... (ii)

On dividing eq. (ii) by (i), we get

$\frac{3041.75}{2645} = \frac{P(1+\frac{R}{100})^3 }{P(1+\frac{R}{100})^2}$

$\implies 1.15 = \frac{P(1+\frac{R}{100})^3 }{P(1+\frac{R}{100})^2}$

cancelling the similar terms

$\implies 1.15 = (1+\frac{R}{100})$

$\implies 1.15 - 1 = \frac{R}{100}$

$\implies 0.15 = \frac{R}{100}$

$\implies R = 0.15 \times 100$

$\implies \bold{R = 15\%}$

Thus, the rate of interest is 15%.

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Answer 2

Answer:

दूध को यह भी है जो इस तरह हम सब एक हैं तो यह कि यह एक बहुत बड़ी भूमिका निभा रहा हूं यह कि इस मामले