Simple Interest

Definition:

Simple interest is the interest calculated only on the original principal amount for a fixed period of time at a given rate.

Simple Interest

What is Simple Interest?

Simple interest is a method of calculating interest in which the borrower pays interest only on the original principal amount, not on the interest already earned. It is widely used in short-term loans, personal loans, car loans, and some fixed deposits and mortgages. 

Formula :

Simple Interest (SI) = (P × R × T) / 100

Where:

  • P = Principal amount
  • R = Rate of interest per annum
  • T = Time or tenure (in years)

Total Amount (A) = P + SI`

For eg, if you borrow Rs. 10,000 at 5% per annum for 2 years:

Step 1: Simple Interest = (10,000 x 5 x 2) /100 = Rs. 1,000

Step 2: Total Amount = 10,000 + 1,000 = Rs. 11,000

Simple Interest vs Compound Interest

BasisSimple InterestCompound Interest
MeaningInterest is calculated only on the original principal amountInterest is calculated on the principal and accumulated interest
FormulaSI = (P × R × T) / 100``A = P(1 + r/n)^(nt)
Interest EarnedLinear (same every year)Increases every period
Growth TypeSlow and steadyFaster due to compounding
Principal BaseFixedKeeps increasing over time
Interest on InterestNot applicableApplicable
Commonly UsedShort-term loansLong-term loans

FAQs

What is simple interest?

Simple interest is the interest calculated only on the original principal amount for a fixed period of time at a given rate.

How to calculate simple interest?

The simple interest calculation is = (P x R x T) /100

What is the difference between simple interest and compound interest?

Simple interest is calculated only on the original principal amount, whereas compound interest is calculated on the accumulated amount (principal + interest) over time.

What factors affect simple interest?

3 core mathematical factors determine simple interest: Principal (the initial amount borrowed or invested), Interest Rate (the percentage charged or earned per period), and Time (the duration of the loan or investment).

Why is simple interest important?

Simple interest helps borrowers understand fixed and predictable interest costs over time.

Sachin Tendulkar

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