Top

# Compound Interest Formula

When a sum of money is borrowed for a period, an extra amount has to be paid along with the borrowed money. The fixed rate of the extra amount is called interest. The interest are of two types: Simple interest and compound interest. Compound interest is the total interest that includes the original interest and the interest of the new principal which is obtained by adding the original principal to the due interest.

The Compound Interest Formula is given as,

 Related Calculators Compound Interest Formula Calculator Compound Daily Interest Calculator Compound Interest Monthly Calculator

## Compound Interest Problems

The solved problems on compound interest are given below:

### Solved Examples

Question 1: A sum of Rs 5000 is borrowed and the rate is 8%. What is the compound interest for 2 years?
Solution:

Compound Interest = Principal$(1+Rate)^{Time}$ - Principal

Compound Interest = 5000$(1+\frac{8}{100})^{2}$ - 5000

Compound Interest = 5000 $\times$ 1.1664 - 5000

Compound Interest = 832

The compound interest for 2 years is Rs 832

Question 2: A sum of Rs 20000 is borrowed and the rate is 10%. What is the compound interest for 5 years?
Solution:

Compound Interest = Principal$(1+Rate)^{Time}$ - Principal

Compound Interest = 20000$(1+\frac{10}{100})^{5}$ - 20000

Compound Interest = 20000 $\times$ 1.61051 - 20000

Compound Interest = 12210.20

The compound interest for 2 years is Rs 12210.20

 More topics in Compound Interest Formula Daily Compound Interest Formula Monthly Compound Interest Formula
*AP and SAT are registered trademarks of the College Board.