Question

a sum of money amount to rupees 10000 after 5 years and rupees 15000 after 80 years at the same rate of simple interest find the rate of interest​

Answer 1

Answer:

Hi there.. Here's the answer for your question..

Step-by-step explanation:

Given :A sum of money amounts to rs 10000 after 5 years and rs 15000 after 8 years at the same rate of simple interest.

To Find : find the rate of interest

Solution:

Amount after 5 years = Rs.10000

Amount after 8 years = Rs.15000

So, Simple interest for 3 years = Rs.15000-Rs.10000 =Rs.5000

So, Simple interest in 1 year = \frac{5000}{3}

3

5000

So, Simple interest in 5 years= \frac{5000}{3}\times 5

3

5000

×5

= 8333.3338333.333

Amount after 5 years = Rs.10000

Simple interest in 5 years= 8333.333

Principal = Amount - Interest

=Rs.10000-Rs. 8333.333

=Rs.1666.667

So, SI =\frac{P \times R \times T}{100}SI=

100

P×R×T

8333.333 =\frac{1666.667 \times R \times 5}{100}8333.333=

100

1666.667×R×5

\frac{8333.333 \times 100}{1666.667 \times 5}=R

1666.667×5

8333.333×100

=R

99.99=R99.99=R

Hence the rate of interest is 99.99%

Hope it helps you..

If any doubt ask me...

Thank you..