Simple Interest Questions and Formula

Simple interest made clear: the formula, the amount after interest and the rate from the amount, with step-by-step worked examples and free practice.

Practise simple interest

How to solve simple interest questions

Simple interest

Simple interest = principal × rate × years ÷ 100. The interest is the same every year.

Amount after simple interest

Find the interest as principal × rate × years ÷ 100, then add it to the principal to get the amount.

Rate from the amount

Interest = amount − principal. Rate per year = interest × 100 ÷ (principal × years).

Worked examples

Example 1

What is the simple interest on ₹1000 at 5% a year for 2 years?

  1. Simple interest = P × R × T ÷ 100
  2. = 1000 × 5 × 2 ÷ 100
  3. = ₹100

Answer: ₹100

Example 2

What amount does ₹600 grow to in 2 years at 10% a year simple interest?

  1. Interest = P × R × T ÷ 100 = 600 × 10 × 2 ÷ 100 = ₹120
  2. Amount = principal + interest = 600 + 120
  3. = ₹720

Answer: ₹720

Example 3

A sum of ₹2000 grows to ₹2400 in 2 years at simple interest. What is the rate of interest per year?

  1. Interest = 2400 − 2000 = ₹400
  2. Rate = 400 × 100 ÷ (2000 × 2) = 40000 ÷ 4000
  3. = 10% a year

Answer: 10%

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