Percentages, profit and loss — Maths Olympiad practice

How to solve it

Always out of the cost — “profit % and loss % are worked out on the cost price, never the selling price”

1. p% of N = N × p ÷ 100.
2. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way).
3. Discount = p% of the marked price; selling price = marked price − discount.

Use it for: Shopping, marks, discounts and profit-and-loss questions in Class 7–10.

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

Worked example: A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? 15%

✏️ Practice

Work it out on paper, then tap the answer you think is right. Stuck? Press “Show me how” to see every step.

🏁 Topic 15 test

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

🏅 Sign in with Google to earn the 📈 Profit Pro badge when you pass — and a certificate when you finish all 6 topics of Part 3 · Class 8–10. You can still take the test without signing in.

🖨️ Percentage and Profit Loss Worksheet for Olympiad

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)