Maths worksheets · lesson 54 of 64 · free

Comparing quantities: percentage, profit and loss, simple interest — Maths worksheet

Percentages compare a part with 100. A shopkeeper makes a profit when the selling price is more than the cost price, and a loss when it is less; profit or loss per cent is worked out on the cost price. Simple interest is the extra money paid for borrowing: SI = principal × rate × time ÷ 100, and the amount = principal + interest.

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The method

Out of 100 — “per cent means per hundred; profit and loss per cent are always on the cost price”

  1. p% of a number = number × p ÷ 100.
  2. Profit = SP − CP; loss = CP − SP. Profit % (or loss %) = profit (or loss) ÷ CP × 100.
  3. Selling price at p% profit = CP + p% of CP; at p% loss = CP − p% of CP.
  4. Simple interest = P × R × T ÷ 100; amount = P + SI. % increase or decrease = change ÷ old value × 100.

Use it for: Shopping sales, a shopkeeper’s accounts, bank savings and loans, and the comparing quantities chapter of Class 7 maths.

🧮 Check your own sums with the free Simple interest calculator — it shows the working.

Worked example: What is the simple interest on ₹5000 at 8% per year for 3 years (in ₹)? → 1200

  1. SI = P × R × T ÷ 100 = 5000 × 8 × 3 ÷ 100.
  2. 120000 ÷ 100 = 1200.

Check: 8% of 5000 = 400 a year, and 400 × 3 = 1200 ✓

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🏁 Lesson 54 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 7 Maths Worksheet: Profit and Loss, Simple Interest

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