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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 451 · 40 questions
TalentJR

How to solve it (Always out of the cost): p% of N = N × p ÷ 100. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way). Discount = p% of the marked price; selling price = marked price − discount.

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  1. 1.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  2. 2.What is 5% of 200? (a) 100 (b) 20 (c) 190 (d) 10
  3. 3.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹175 (b) ₹50 (c) ₹250 (d) ₹150
  4. 4.A bag marked ₹360 is sold at a 20% discount. What is its selling price? (a) ₹432 (b) ₹72 (c) ₹288 (d) ₹340
  5. 5.What is 20% of 380? (a) 304 (b) 76 (c) 760 (d) 152
  6. 6.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 15% (b) 5% (c) 40% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹440 and sells it for ₹506. What is his profit percent? (a) 66% (b) 20% (c) 10% (d) 15%
  8. 8.A bag marked ₹1580 is sold at a 15% discount. What is its selling price? (a) ₹1565 (b) ₹1343 (c) ₹1817 (d) ₹237
  9. 9.A shopkeeper buys a toy for ₹460 and sells it for ₹552. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 92%
  10. 10.A bag marked ₹400 is sold at a 50% discount. What is its selling price? (a) ₹201 (b) ₹200 (c) ₹600 (d) ₹350
  11. 11.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 85% (b) 30% (c) 20% (d) 25%
  12. 12.What is 5% of 920? (a) 874 (b) 92 (c) 460 (d) 46
  13. 13.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹1965 (b) ₹297 (c) ₹1683 (d) ₹2277
  14. 14.What is 15% of 860? (a) 129 (b) 258 (c) 731 (d) 1290
  15. 15.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 96% (b) 15% (c) 20% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 15% (b) 10% (c) 78% (d) 5%
  17. 17.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 30% (b) 80% (c) 20% (d) 25%
  19. 19.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  20. 20.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 96%
  21. 21.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 15% (b) 10% (c) 62% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 10% (b) 68% (c) 5% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹500 and sells it for ₹550. What is his profit percent? (a) 50% (b) 10% (c) 15% (d) 5%
  24. 24.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹300 (b) ₹384 (c) ₹64 (d) ₹256
  25. 25.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 36% (b) 15% (c) 5% (d) 10%
  26. 26.A bag marked ₹1420 is sold at a 40% discount. What is its selling price? (a) ₹1988 (b) ₹568 (c) ₹852 (d) ₹1380
  27. 27.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 40% (b) 30% (c) 20% (d) 25%
  28. 28.What is 25% of 520? (a) 390 (b) 260 (c) 130 (d) 1300
  29. 29.What is 10% of 500? (a) 500 (b) 100 (c) 50 (d) 450
  30. 30.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  31. 31.A shopkeeper buys a toy for ₹520 and sells it for ₹624. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  32. 32.What is 15% of 40? (a) 34 (b) 12 (c) 6 (d) 60
  33. 33.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1462 (b) ₹1978 (c) ₹258 (d) ₹1705
  34. 34.A bag marked ₹1460 is sold at a 10% discount. What is its selling price? (a) ₹1314 (b) ₹146 (c) ₹1606 (d) ₹1450
  35. 35.A shopkeeper buys a toy for ₹440 and sells it for ₹352. What is his loss percent? (a) 15% (b) 88% (c) 25% (d) 20%
  36. 36.A bag marked ₹920 is sold at a 15% discount. What is its selling price? (a) ₹138 (b) ₹905 (c) ₹782 (d) ₹1058
  37. 37.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  38. 38.What is 40% of 500? (a) 400 (b) 300 (c) 2000 (d) 200
  39. 39.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 78% (b) 30% (c) 35% (d) 25%
  40. 40.A bag marked ₹920 is sold at a 20% discount. What is its selling price? (a) ₹900 (b) ₹1104 (c) ₹184 (d) ₹736

Answer key

  1. 30%
  2. 10
  3. ₹150
  4. ₹288
  5. 76
  6. 10%
  7. 15%
  8. ₹1343
  9. 20%
  10. ₹200
  11. 25%
  12. 46
  13. ₹1683
  14. 129
  15. 20%
  16. 10%
  17. 30%
  18. 25%
  19. 20%
  20. 40%
  21. 10%
  22. 10%
  23. 10%
  24. ₹256
  25. 10%
  26. ₹852
  27. 25%
  28. 130
  29. 50
  30. 20%
  31. 20%
  32. 6
  33. ₹1462
  34. ₹1314
  35. 20%
  36. ₹782
  37. 40%
  38. 200
  39. 30%
  40. ₹736

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