Difference Between Simple Interest and Compound Interest
2026-02-28 10:03 Diff
https://brightchamps.com/en-us/math/commercial-math/difference-between-simple-interest-and-compound-interest

Simple Interest:

Simple interest is a straightforward way to calculate the interest charged on a specific amount of money or a loan. Simple interest is found by multiplying the rate of interest, the principal amount, and the time period (in days) between the payments. It benefits borrowers who make their loan payments on time or early each month. Simple interest is commonly used for auto loans and short-term personal loans.

The formula to calculate simple interest is given as:

\(\text{Simple Interest (SI)} = \frac{(P\times{R}\times{T})}{100}\)

Here, P represents the principal amount, R denotes the rate of interest, and T stands for the time period.
We can calculate the total amount using the following formula:

\(\text{Amount = Principal + Interest}\)

Here, the amount (A) represents the total sum repaid at the end of the time period (T) for which the money was borrowed.

Compound Interest:

Compound interest is the interest calculated on both the principal amount and the interest earned from previous periods. In simple interest, the interest is not added to the Principal when calculating interest for the next period. However, in compound interest, the interest is added to the Principal before calculating interest for the following period. Therefore, compound interest is different from simple interest.

The formula to calculate compound interest is given as:

\(\text{Compound Interest (CI)} = \text{Principal}(1 + \frac{\text{rate}}{100})^n - \text{Principal}\)

Here, P represents the principal amount, R denotes the Rate of interest, and T stands for the time period.

We can calculate the total amount using the formula given below:

\(\text{Amount} = \text{Principal} (1 + \frac{\text{rate}}{100})^n\).

Here, P represents the principal amount, Rate denotes the Rate of interest, and n stands for the time period.