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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 1 · 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 ₹580 and sells it for ₹870. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
  2. 2.A shopkeeper buys a toy for ₹100 and sells it for ₹60. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  3. 3.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  4. 4.What is 15% of 260? (a) 39 (b) 390 (c) 221 (d) 78
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 75% (b) 30% (c) 20% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 10% (b) 81% (c) 20% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 60% (b) 5% (c) 15% (d) 10%
  9. 9.What is 15% of 60? (a) 9 (b) 90 (c) 18 (d) 51
  10. 10.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 50% (b) 20% (c) 30% (d) 25%
  11. 11.What is 75% of 120? (a) 180 (b) 30 (c) 90 (d) 900
  12. 12.What is 5% of 480? (a) 456 (b) 240 (c) 48 (d) 24
  13. 13.What is 10% of 300? (a) 300 (b) 30 (c) 270 (d) 60
  14. 14.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 14%
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 25% (b) 48% (c) 15% (d) 20%
  16. 16.What is 20% of 240? (a) 480 (b) 96 (c) 48 (d) 192
  17. 17.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹322 (b) ₹265 (c) ₹238 (d) ₹42
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  19. 19.What is 60% of 200? (a) 80 (b) 120 (c) 240 (d) 1200
  20. 20.A bag marked ₹1940 is sold at a 30% discount. What is its selling price? (a) ₹1910 (b) ₹1358 (c) ₹582 (d) ₹2522
  21. 21.A shopkeeper buys a toy for ₹420 and sells it for ₹630. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  22. 22.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 86% (b) 5% (c) 10% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  24. 24.A bag marked ₹1760 is sold at a 15% discount. What is its selling price? (a) ₹2024 (b) ₹264 (c) ₹1745 (d) ₹1496
  25. 25.What is 75% of 180? (a) 135 (b) 270 (c) 1350 (d) 45
  26. 26.A bag marked ₹1640 is sold at a 10% discount. What is its selling price? (a) ₹1630 (b) ₹1476 (c) ₹164 (d) ₹1804
  27. 27.What is 5% of 720? (a) 36 (b) 360 (c) 684 (d) 72
  28. 28.What is 20% of 400? (a) 160 (b) 800 (c) 320 (d) 80
  29. 29.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  30. 30.A bag marked ₹460 is sold at a 25% discount. What is its selling price? (a) ₹115 (b) ₹575 (c) ₹435 (d) ₹345
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 25% (b) 80% (c) 30% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹220 and sells it for ₹187. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 33%
  33. 33.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹364 (b) ₹84 (c) ₹196 (d) ₹250
  34. 34.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  35. 35.A bag marked ₹620 is sold at a 30% discount. What is its selling price? (a) ₹806 (b) ₹186 (c) ₹590 (d) ₹434
  36. 36.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹117 (b) ₹663 (c) ₹897 (d) ₹765
  37. 37.What is 15% of 420? (a) 357 (b) 630 (c) 63 (d) 126
  38. 38.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 30% (c) 20% (d) 25%
  39. 39.What is 30% of 200? (a) 600 (b) 140 (c) 120 (d) 60
  40. 40.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 18%

Answer key

  1. 50%
  2. 40%
  3. 40%
  4. 39
  5. 25%
  6. 15%
  7. 25%
  8. 10%
  9. 9
  10. 25%
  11. 90
  12. 24
  13. 30
  14. 5%
  15. 20%
  16. 48
  17. ₹238
  18. 15%
  19. 120
  20. ₹1358
  21. 50%
  22. 10%
  23. 50%
  24. ₹1496
  25. 135
  26. ₹1476
  27. 36
  28. 80
  29. 30%
  30. ₹345
  31. 25%
  32. 15%
  33. ₹196
  34. 30%
  35. ₹434
  36. ₹663
  37. 63
  38. 25%
  39. 60
  40. 15%

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