Question

A sum of money becomes rupee 8352 in 2 years and rupee 8928 in 3 years. Find the principal and rate of interest.

Answer 1

Solutions :-


Given :

Interest for 2 years = ₹ 8,352
Interest for 3 years = ₹ 8,928


Find the Interest for 1 years :-

Interest for 1 years = ₹ (8928 - 8352) = ₹ 576


Find the Interest for 2 years :-

Interest for 1 years = ₹ 576
Interest for 2 years = ₹ (576 × 2) = ₹ 1152


Find the principle :-

Principle = 8352 - Interest for 2 years
= ₹ (8352 - 1152)
= ₹ 7200


Find the rate percent :-

Rate = (100 × Interest for 2 years)/(principal × time) %
= (100 × 1152)/(7200 × 2) %
= 115200/14400 %
= 8 %



Hence,
Principle = ₹ 7200
Rate percent = 8 %

Answer 2

Here is your Solutions

Given :-

Interest for 2 years = Rs 8352

Interest for 3 years = Rs 8928

To find the Interest for 1 years :-

Now

Interest for 1 years = Rs8928 - Rs8352 => Rs 576✔

To Find the Interest for 2 years :-

Interest for 2years=2×Interest of 1 years

=>2×576

=>Rs1152.✔

To Find the principle:-

Principle = 8352 - (Interest for 2 years)

=>Rs (8352 - 1152)

=>Rs 7200✔

Now

To Find the rate percent :-

Rate = [100 × Interest for 2 years]/[principal × time] %

=> [100 × 1152]/[7200 × 2]%

=> 115200/14400 %

=> 8 %✔

Hence,

Principle is Rs  7200

Rate %   is 8 %

Hope it helps you