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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 647 · 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 ₹780 and sells it for ₹858. What is his profit percent? (a) 15% (b) 10% (c) 78% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹468. What is his loss percent? (a) 52% (b) 5% (c) 10% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹740 and sells it for ₹703. What is his loss percent? (a) 10% (b) 37% (c) 5% (d) 6%
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 25% (b) 35% (c) 36% (d) 30%
  5. 5.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 45% (b) 60% (c) 50% (d) 55%
  6. 6.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 27% (b) 10% (c) 15% (d) 20%
  8. 8.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 94%
  9. 9.What is 15% of 500? (a) 750 (b) 425 (c) 150 (d) 75
  10. 10.What is 25% of 800? (a) 400 (b) 2000 (c) 200 (d) 600
  11. 11.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 60% (b) 30% (c) 35% (d) 25%
  12. 12.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  14. 14.What is 60% of 880? (a) 528 (b) 5280 (c) 352 (d) 1056
  15. 15.A bag marked ₹1340 is sold at a 50% discount. What is its selling price? (a) ₹670 (b) ₹671 (c) ₹1290 (d) ₹2010
  16. 16.What is 50% of 160? (a) 160 (b) 81 (c) 800 (d) 80
  17. 17.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 15% (b) 5% (c) 14% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 10% (b) 66% (c) 5% (d) 15%
  19. 19.What is 40% of 300? (a) 1200 (b) 120 (c) 240 (d) 180
  20. 20.What is 5% of 500? (a) 250 (b) 475 (c) 50 (d) 25
  21. 21.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 11% (b) 5% (c) 10% (d) 15%
  22. 22.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 43%
  23. 23.What is 75% of 940? (a) 1410 (b) 235 (c) 705 (d) 7050
  24. 24.A bag marked ₹1640 is sold at a 15% discount. What is its selling price? (a) ₹1886 (b) ₹1625 (c) ₹246 (d) ₹1394
  25. 25.A shopkeeper buys a toy for ₹860 and sells it for ₹645. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 20% (b) 39% (c) 15% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 39%
  28. 28.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 29% (b) 10% (c) 6% (d) 5%
  29. 29.A bag marked ₹560 is sold at a 25% discount. What is its selling price? (a) ₹140 (b) ₹535 (c) ₹420 (d) ₹700
  30. 30.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 15% (b) 96% (c) 5% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 76% (b) 5% (c) 10% (d) 15%
  32. 32.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  33. 33.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 16%
  34. 34.What is 10% of 120? (a) 108 (b) 120 (c) 12 (d) 24
  35. 35.A shopkeeper buys a toy for ₹840 and sells it for ₹504. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  36. 36.What is 60% of 140? (a) 840 (b) 168 (c) 56 (d) 84
  37. 37.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 38%
  38. 38.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  39. 39.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 92% (b) 5% (c) 10% (d) 15%
  40. 40.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 14% (b) 6% (c) 5% (d) 10%

Answer key

  1. 10%
  2. 10%
  3. 5%
  4. 30%
  5. 50%
  6. 25%
  7. 15%
  8. 10%
  9. 75
  10. 200
  11. 30%
  12. 20%
  13. 40%
  14. 528
  15. ₹670
  16. 80
  17. 10%
  18. 10%
  19. 120
  20. 25
  21. 10%
  22. 5%
  23. 705
  24. ₹1394
  25. 25%
  26. 15%
  27. 5%
  28. 5%
  29. ₹420
  30. 10%
  31. 10%
  32. 30%
  33. 15%
  34. 12
  35. 40%
  36. 84
  37. 10%
  38. 20%
  39. 10%
  40. 5%

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