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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 116 · 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 ₹960 and sells it for ₹1440. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  2. 2.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  3. 3.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 20% (b) 75% (c) 25% (d) 30%
  5. 5.What is 10% of 60? (a) 54 (b) 6 (c) 60 (d) 12
  6. 6.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 10% (b) 32% (c) 15% (d) 5%
  7. 7.What is 50% of 800? (a) 4000 (b) 800 (c) 401 (d) 400
  8. 8.A bag marked ₹1620 is sold at a 20% discount. What is its selling price? (a) ₹1600 (b) ₹1296 (c) ₹324 (d) ₹1944
  9. 9.What is 60% of 220? (a) 88 (b) 132 (c) 264 (d) 1320
  10. 10.A bag marked ₹1440 is sold at a 50% discount. What is its selling price? (a) ₹720 (b) ₹2160 (c) ₹1390 (d) ₹721
  11. 11.A bag marked ₹340 is sold at a 10% discount. What is its selling price? (a) ₹306 (b) ₹34 (c) ₹330 (d) ₹374
  12. 12.A bag marked ₹700 is sold at a 30% discount. What is its selling price? (a) ₹910 (b) ₹670 (c) ₹210 (d) ₹490
  13. 13.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  14. 14.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 10% (b) 15% (c) 12% (d) 5%
  15. 15.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  16. 16.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 40%
  17. 17.A shopkeeper buys a toy for ₹520 and sells it for ₹728. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
  18. 18.A bag marked ₹1800 is sold at a 50% discount. What is its selling price? (a) ₹2700 (b) ₹900 (c) ₹901 (d) ₹1750
  19. 19.What is 50% of 300? (a) 150 (b) 300 (c) 1500 (d) 151
  20. 20.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 81%
  21. 21.What is 20% of 1000? (a) 800 (b) 400 (c) 200 (d) 2000
  22. 22.A bag marked ₹640 is sold at a 40% discount. What is its selling price? (a) ₹384 (b) ₹256 (c) ₹600 (d) ₹896
  23. 23.A bag marked ₹1400 is sold at a 25% discount. What is its selling price? (a) ₹1375 (b) ₹1050 (c) ₹350 (d) ₹1750
  24. 24.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
  25. 25.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 33% (b) 20% (c) 10% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹560 and sells it for ₹392. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  27. 27.A shopkeeper buys a toy for ₹940 and sells it for ₹1175. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 35%
  29. 29.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  30. 30.What is 25% of 160? (a) 400 (b) 120 (c) 40 (d) 80
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 48% (b) 10% (c) 20% (d) 15%
  32. 32.A shopkeeper buys a toy for ₹940 and sells it for ₹987. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 47%
  33. 33.A bag marked ₹1320 is sold at a 25% discount. What is its selling price? (a) ₹1295 (b) ₹990 (c) ₹330 (d) ₹1650
  34. 34.A shopkeeper buys a toy for ₹620 and sells it for ₹713. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 93%
  35. 35.A bag marked ₹340 is sold at a 40% discount. What is its selling price? (a) ₹476 (b) ₹300 (c) ₹136 (d) ₹204
  36. 36.A bag marked ₹1820 is sold at a 50% discount. What is its selling price? (a) ₹910 (b) ₹911 (c) ₹1770 (d) ₹2730
  37. 37.What is 20% of 480? (a) 384 (b) 192 (c) 96 (d) 960
  38. 38.What is 30% of 640? (a) 192 (b) 1920 (c) 448 (d) 384
  39. 39.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 5% (b) 10% (c) 4% (d) 6%
  40. 40.What is 15% of 160? (a) 240 (b) 136 (c) 24 (d) 48

Answer key

  1. 50%
  2. 25%
  3. 20%
  4. 25%
  5. 6
  6. 10%
  7. 400
  8. ₹1296
  9. 132
  10. ₹720
  11. ₹306
  12. ₹490
  13. 30%
  14. 10%
  15. 50%
  16. 20%
  17. 40%
  18. ₹900
  19. 150
  20. 15%
  21. 200
  22. ₹384
  23. ₹1050
  24. 20%
  25. 15%
  26. 30%
  27. 25%
  28. 25%
  29. 50%
  30. 40
  31. 15%
  32. 5%
  33. ₹990
  34. 15%
  35. ₹204
  36. ₹910
  37. 96
  38. 192
  39. 5%
  40. 24

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