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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 852 · 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 bag marked ₹840 is sold at a 15% discount. What is its selling price? (a) ₹714 (b) ₹825 (c) ₹966 (d) ₹126
  2. 2.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
  3. 3.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 60%
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  5. 5.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹705 (b) ₹612 (c) ₹108 (d) ₹828
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹180 and sells it for ₹270. What is his profit percent? (a) 45% (b) 90% (c) 50% (d) 55%
  8. 8.A shopkeeper buys a toy for ₹200 and sells it for ₹120. What is his loss percent? (a) 80% (b) 45% (c) 40% (d) 35%
  9. 9.What is 40% of 820? (a) 656 (b) 3280 (c) 492 (d) 328
  10. 10.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 5% (b) 6% (c) 8% (d) 10%
  11. 11.What is 5% of 920? (a) 874 (b) 46 (c) 460 (d) 92
  12. 12.What is 20% of 720? (a) 576 (b) 144 (c) 1440 (d) 288
  13. 13.A shopkeeper buys a toy for ₹620 and sells it for ₹713. What is his profit percent? (a) 20% (b) 10% (c) 93% (d) 15%
  14. 14.A bag marked ₹920 is sold at a 30% discount. What is its selling price? (a) ₹276 (b) ₹644 (c) ₹1196 (d) ₹890
  15. 15.What is 40% of 200? (a) 800 (b) 120 (c) 160 (d) 80
  16. 16.A bag marked ₹1020 is sold at a 10% discount. What is its selling price? (a) ₹102 (b) ₹1010 (c) ₹918 (d) ₹1122
  17. 17.A shopkeeper buys a toy for ₹780 and sells it for ₹624. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹819. What is his profit percent? (a) 39% (b) 5% (c) 6% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 25% (b) 15% (c) 52% (d) 20%
  20. 20.A bag marked ₹1800 is sold at a 30% discount. What is its selling price? (a) ₹2340 (b) ₹1260 (c) ₹1770 (d) ₹540
  21. 21.What is 5% of 380? (a) 190 (b) 38 (c) 19 (d) 361
  22. 22.A bag marked ₹1500 is sold at a 50% discount. What is its selling price? (a) ₹2250 (b) ₹1450 (c) ₹751 (d) ₹750
  23. 23.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 30% (b) 25% (c) 70% (d) 20%
  24. 24.What is 40% of 440? (a) 264 (b) 352 (c) 1760 (d) 176
  25. 25.What is 10% of 440? (a) 44 (b) 88 (c) 440 (d) 396
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  27. 27.What is 10% of 400? (a) 80 (b) 400 (c) 360 (d) 40
  28. 28.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹150 (b) ₹175 (c) ₹250 (d) ₹50
  29. 29.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 96%
  30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹264. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  31. 31.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 25% (b) 20% (c) 56% (d) 15%
  32. 32.A bag marked ₹1680 is sold at a 30% discount. What is its selling price? (a) ₹504 (b) ₹2184 (c) ₹1650 (d) ₹1176
  33. 33.A shopkeeper buys a toy for ₹160 and sells it for ₹112. What is his loss percent? (a) 25% (b) 30% (c) 48% (d) 35%
  34. 34.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 64%
  35. 35.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 24% (b) 10% (c) 5% (d) 15%
  36. 36.What is 20% of 640? (a) 512 (b) 1280 (c) 256 (d) 128
  37. 37.A bag marked ₹1320 is sold at a 15% discount. What is its selling price? (a) ₹1518 (b) ₹1305 (c) ₹198 (d) ₹1122
  38. 38.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 40%
  39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 60%
  40. 40.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%

Answer key

  1. ₹714
  2. 25%
  3. 30%
  4. 40%
  5. ₹612
  6. 20%
  7. 50%
  8. 40%
  9. 328
  10. 5%
  11. 46
  12. 144
  13. 15%
  14. ₹644
  15. 80
  16. ₹918
  17. 20%
  18. 5%
  19. 20%
  20. ₹1260
  21. 19
  22. ₹750
  23. 25%
  24. 176
  25. 44
  26. 40%
  27. 40
  28. ₹150
  29. 10%
  30. 40%
  31. 20%
  32. ₹1176
  33. 30%
  34. 20%
  35. 10%
  36. 128
  37. ₹1122
  38. 25%
  39. 15%
  40. 40%

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