Percentage · lesson 15 of 20 · free

Profit percentage — How to calculate percentage

A shopkeeper buys something at the cost price (CP) and sells it at the selling price (SP). If SP is more, the difference is the profit. Profit percentage always compares the profit with the cost price.

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How to work it out

On the cost price — “profit % = profit ÷ cost price × 100”

  1. Profit = SP − CP.
  2. Profit % = profit ÷ CP × 100.
  3. Selling at p% profit: SP = CP + p% of CP.

Use it for: School fair stalls, small businesses, and the Class 7–8 profit and loss chapters.

🧮 Check your own sums with the free Profit and loss calculator — it shows the working.

Worked example: A shopkeeper buys a football for ₹400 and sells it for ₹460. What is the profit percentage? → 15

  1. Profit = 460 − 400 = ₹60.
  2. Profit % = profit ÷ cost price × 100 = 60 ÷ 400 × 100.
  3. 60 × 100 = 6000, and 6000 ÷ 400 = 15. So it is 15%.

Check: 15% of 400 = 60, and 400 + 60 = 460 ✓

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