Question

10. The simple interest on a sum of money for 2 years at 10% p.a. is 5000. Find the compound interest on the same sum at the same rate for the same period when the interest in compounded annually ​

Answer 1

Given:-

• The simple interest on a sum of money for 2 years at 10% p.a. is 5000.

To Find :

• The compound interest on the same sum at the same rate for the same period when the interest in compounded annually .

Formula Used :-

We know the formula of Simple Interest as ,

$\boxed{\boxed{\red{\sf SI=\dfrac{P\times R\times T}{100}}}}$ .

Also , we know the formula of CI as ,

$\boxed{\boxed{\red{\sf CI =P\bigg(1+\dfrac{R}{100}\bigg)^n - P}}}$.

Answer :-

Let the sum of money be x . So ,

According to the Question ,

$=> SI =\dfrac{(P)(R)(T)}{100}\\=> Rs 5,000=\dfrac{10\times 2\times x}{100}\\=> x =\dfrac{5000\times 100}{20}\\=> \bf x = Rs 25,000$

Now , CI will be ,

$=> CI=P\bigg( 1+\dfrac{R}{100}\bigg)^n-P\\=> CI = Rs 25,000\bigg(1+\dfrac{10}{100}\bigg)^2-Rs25,000\\=> CI = Rs 25,000\bigg(\dfrac{10+1}{10}\bigg)^2-Rs25,000\\=> CI=Rs25,000\times \dfrac{121}{100}-Rs 25,000\\=> CI = Rs 250\times 121- Rs 25,000 \\=> CI = 30,250-Rs 25,000 \\=> \bf CI = Rs 5250$

Hence the Compound Internet is Rs 5,250 .

Answer 2

Answer:

Given

principal P=30,000

Rate of interest R=8%p.a

Simple interest I=2400

as we know I=ptr/100