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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 325 · 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 ₹860 and sells it for ₹1290. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  2. 2.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 10% (b) 5% (c) 14% (d) 6%
  3. 3.What is 30% of 220? (a) 660 (b) 154 (c) 66 (d) 132
  4. 4.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  5. 5.What is 25% of 200? (a) 50 (b) 500 (c) 150 (d) 100
  6. 6.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  7. 7.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹378 (b) ₹410 (c) ₹42 (d) ₹462
  8. 8.A bag marked ₹480 is sold at a 25% discount. What is its selling price? (a) ₹600 (b) ₹360 (c) ₹455 (d) ₹120
  9. 9.What is 25% of 680? (a) 340 (b) 1700 (c) 510 (d) 170
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 5% (b) 28% (c) 10% (d) 15%
  11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 35% (c) 30% (d) 25%
  12. 12.What is 15% of 880? (a) 264 (b) 132 (c) 1320 (d) 748
  13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹275. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 55%
  14. 14.What is 10% of 820? (a) 738 (b) 82 (c) 164 (d) 820
  15. 15.A bag marked ₹1300 is sold at a 25% discount. What is its selling price? (a) ₹975 (b) ₹1275 (c) ₹1625 (d) ₹325
  16. 16.A bag marked ₹1160 is sold at a 30% discount. What is its selling price? (a) ₹1130 (b) ₹812 (c) ₹1508 (d) ₹348
  17. 17.A bag marked ₹1660 is sold at a 20% discount. What is its selling price? (a) ₹1992 (b) ₹332 (c) ₹1328 (d) ₹1640
  18. 18.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 4% (b) 6% (c) 5% (d) 10%
  20. 20.What is 15% of 440? (a) 660 (b) 374 (c) 66 (d) 132
  21. 21.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 20% (b) 10% (c) 5% (d) 15%
  22. 22.A bag marked ₹420 is sold at a 30% discount. What is its selling price? (a) ₹126 (b) ₹294 (c) ₹546 (d) ₹390
  23. 23.A bag marked ₹220 is sold at a 10% discount. What is its selling price? (a) ₹210 (b) ₹242 (c) ₹198 (d) ₹22
  24. 24.A shopkeeper buys a toy for ₹980 and sells it for ₹833. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  25. 25.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 15% (b) 76% (c) 10% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  27. 27.A bag marked ₹300 is sold at a 25% discount. What is its selling price? (a) ₹75 (b) ₹225 (c) ₹375 (d) ₹275
  28. 28.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  29. 29.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 5% (b) 15% (c) 68% (d) 10%
  30. 30.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹170 (b) ₹510 (c) ₹655 (d) ₹850
  31. 31.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹396 (b) ₹430 (c) ₹484 (d) ₹44
  32. 32.A bag marked ₹1500 is sold at a 10% discount. What is its selling price? (a) ₹1650 (b) ₹1350 (c) ₹150 (d) ₹1490
  33. 33.A bag marked ₹1940 is sold at a 15% discount. What is its selling price? (a) ₹291 (b) ₹1649 (c) ₹1925 (d) ₹2231
  34. 34.What is 10% of 180? (a) 162 (b) 36 (c) 18 (d) 180
  35. 35.What is 50% of 880? (a) 880 (b) 441 (c) 440 (d) 4400
  36. 36.A bag marked ₹1580 is sold at a 40% discount. What is its selling price? (a) ₹632 (b) ₹948 (c) ₹2212 (d) ₹1540
  37. 37.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹870 (b) ₹461 (c) ₹460 (d) ₹1380
  38. 38.A shopkeeper buys a toy for ₹780 and sells it for ₹624. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  39. 39.What is 40% of 520? (a) 208 (b) 312 (c) 416 (d) 2080
  40. 40.What is 20% of 900? (a) 1800 (b) 360 (c) 180 (d) 720

Answer key

  1. 50%
  2. 5%
  3. 66
  4. 25%
  5. 50
  6. 25%
  7. ₹378
  8. ₹360
  9. 170
  10. 10%
  11. 30%
  12. 132
  13. 25%
  14. 82
  15. ₹975
  16. ₹812
  17. ₹1328
  18. 25%
  19. 5%
  20. 66
  21. 10%
  22. ₹294
  23. ₹198
  24. 15%
  25. 10%
  26. 30%
  27. ₹225
  28. 40%
  29. 10%
  30. ₹510
  31. ₹396
  32. ₹1350
  33. ₹1649
  34. 18
  35. 440
  36. ₹948
  37. ₹460
  38. 20%
  39. 208
  40. 180

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