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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 983 · 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 ₹880 and sells it for ₹704. What is his loss percent? (a) 15% (b) 21% (c) 20% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 80%
  3. 3.What is 5% of 40? (a) 38 (b) 4 (c) 2 (d) 20
  4. 4.A shopkeeper buys a toy for ₹900 and sells it for ₹1260. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 5% (b) 10% (c) 22% (d) 15%
  6. 6.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 19% (b) 5% (c) 6% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  8. 8.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 28%
  9. 9.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  10. 10.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 40%
  11. 11.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 15% (b) 5% (c) 28% (d) 10%
  12. 12.What is 75% of 420? (a) 105 (b) 3150 (c) 630 (d) 315
  13. 13.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 10% (b) 15% (c) 11% (d) 5%
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  15. 15.What is 40% of 800? (a) 640 (b) 480 (c) 3200 (d) 320
  16. 16.What is 15% of 320? (a) 480 (b) 272 (c) 96 (d) 48
  17. 17.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 34% (b) 15% (c) 5% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 46%
  19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 10% (b) 5% (c) 4% (d) 6%
  20. 20.What is 20% of 940? (a) 188 (b) 376 (c) 1880 (d) 752
  21. 21.A bag marked ₹1560 is sold at a 10% discount. What is its selling price? (a) ₹1404 (b) ₹156 (c) ₹1550 (d) ₹1716
  22. 22.What is 25% of 420? (a) 105 (b) 210 (c) 315 (d) 1050
  23. 23.What is 75% of 80? (a) 60 (b) 600 (c) 120 (d) 20
  24. 24.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 10% (b) 15% (c) 76% (d) 5%
  25. 25.A bag marked ₹1780 is sold at a 15% discount. What is its selling price? (a) ₹1765 (b) ₹267 (c) ₹2047 (d) ₹1513
  26. 26.A shopkeeper buys a toy for ₹220 and sells it for ₹154. What is his loss percent? (a) 66% (b) 35% (c) 30% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 21% (b) 15% (c) 25% (d) 20%
  28. 28.What is 20% of 380? (a) 304 (b) 152 (c) 76 (d) 760
  29. 29.A bag marked ₹1600 is sold at a 40% discount. What is its selling price? (a) ₹640 (b) ₹2240 (c) ₹960 (d) ₹1560
  30. 30.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1050 (b) ₹324 (c) ₹1404 (d) ₹756
  31. 31.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 5% (b) 15% (c) 12% (d) 10%
  32. 32.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  33. 33.A bag marked ₹800 is sold at a 25% discount. What is its selling price? (a) ₹600 (b) ₹775 (c) ₹1000 (d) ₹200
  34. 34.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 40%
  35. 35.What is 10% of 820? (a) 82 (b) 164 (c) 738 (d) 820
  36. 36.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 30% (b) 70% (c) 20% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  38. 38.What is 75% of 540? (a) 4050 (b) 135 (c) 810 (d) 405
  39. 39.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 10% (b) 8% (c) 5% (d) 6%
  40. 40.What is 10% of 680? (a) 680 (b) 612 (c) 136 (d) 68

Answer key

  1. 20%
  2. 20%
  3. 2
  4. 40%
  5. 10%
  6. 5%
  7. 30%
  8. 10%
  9. 40%
  10. 10%
  11. 10%
  12. 315
  13. 10%
  14. 25%
  15. 320
  16. 48
  17. 10%
  18. 5%
  19. 5%
  20. 188
  21. ₹1404
  22. 105
  23. 60
  24. 10%
  25. ₹1513
  26. 30%
  27. 20%
  28. 76
  29. ₹960
  30. ₹756
  31. 10%
  32. 40%
  33. ₹600
  34. 20%
  35. 82
  36. 25%
  37. 30%
  38. 405
  39. 5%
  40. 68

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