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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 301 · 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) 21% (b) 20% (c) 25% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹720 and sells it for ₹1080. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  3. 3.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 10% (b) 92% (c) 15% (d) 5%
  4. 4.What is 15% of 860? (a) 731 (b) 258 (c) 129 (d) 1290
  5. 5.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 40%
  7. 7.A bag marked ₹980 is sold at a 25% discount. What is its selling price? (a) ₹245 (b) ₹1225 (c) ₹735 (d) ₹955
  8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 30%
  9. 9.A shopkeeper buys a toy for ₹720 and sells it for ₹1008. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
  10. 10.A bag marked ₹980 is sold at a 30% discount. What is its selling price? (a) ₹294 (b) ₹1274 (c) ₹686 (d) ₹950
  11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 10% (b) 20% (c) 36% (d) 15%
  12. 12.A bag marked ₹1780 is sold at a 30% discount. What is its selling price? (a) ₹534 (b) ₹2314 (c) ₹1246 (d) ₹1750
  13. 13.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  14. 14.What is 20% of 300? (a) 120 (b) 600 (c) 60 (d) 240
  15. 15.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹450 (b) ₹750 (c) ₹251 (d) ₹250
  16. 16.A shopkeeper buys a toy for ₹880 and sells it for ₹792. What is his loss percent? (a) 15% (b) 88% (c) 5% (d) 10%
  17. 17.A bag marked ₹960 is sold at a 30% discount. What is its selling price? (a) ₹930 (b) ₹672 (c) ₹288 (d) ₹1248
  18. 18.A bag marked ₹1460 is sold at a 10% discount. What is its selling price? (a) ₹1314 (b) ₹146 (c) ₹1606 (d) ₹1450
  19. 19.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 60% (b) 15% (c) 5% (d) 10%
  20. 20.What is 50% of 180? (a) 180 (b) 91 (c) 900 (d) 90
  21. 21.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  22. 22.A shopkeeper buys a toy for ₹720 and sells it for ₹828. What is his profit percent? (a) 16% (b) 15% (c) 20% (d) 10%
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 45% (b) 48% (c) 40% (d) 35%
  24. 24.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 75%
  25. 25.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 74% (b) 15% (c) 10% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 76% (b) 10% (c) 5% (d) 15%
  28. 28.A shopkeeper buys a toy for ₹960 and sells it for ₹1248. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  29. 29.What is 10% of 540? (a) 108 (b) 486 (c) 540 (d) 54
  30. 30.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  31. 31.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹1930 (b) ₹1746 (c) ₹2134 (d) ₹194
  32. 32.A bag marked ₹1180 is sold at a 20% discount. What is its selling price? (a) ₹1416 (b) ₹944 (c) ₹1160 (d) ₹236
  33. 33.A shopkeeper buys a toy for ₹840 and sells it for ₹882. What is his profit percent? (a) 42% (b) 10% (c) 5% (d) 6%
  34. 34.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 11% (b) 5% (c) 10% (d) 15%
  35. 35.What is 75% of 340? (a) 510 (b) 85 (c) 255 (d) 2550
  36. 36.A shopkeeper buys a toy for ₹180 and sells it for ₹153. What is his loss percent? (a) 20% (b) 27% (c) 15% (d) 10%
  37. 37.What is 5% of 500? (a) 250 (b) 50 (c) 25 (d) 475
  38. 38.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 15% (b) 76% (c) 25% (d) 20%
  39. 39.What is 25% of 520? (a) 1300 (b) 260 (c) 130 (d) 390
  40. 40.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%

Answer key

  1. 20%
  2. 50%
  3. 10%
  4. 129
  5. 30%
  6. 25%
  7. ₹735
  8. 5%
  9. 40%
  10. ₹686
  11. 15%
  12. ₹1246
  13. 25%
  14. 60
  15. ₹250
  16. 10%
  17. ₹672
  18. ₹1314
  19. 10%
  20. 90
  21. 30%
  22. 15%
  23. 40%
  24. 15%
  25. 10%
  26. 25%
  27. 10%
  28. 30%
  29. 54
  30. 20%
  31. ₹1746
  32. ₹944
  33. 5%
  34. 10%
  35. 255
  36. 15%
  37. 25
  38. 20%
  39. 130
  40. 30%

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