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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 585 · 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 ₹260 and sells it for ₹312. What is his profit percent? (a) 20% (b) 52% (c) 25% (d) 15%
  2. 2.What is 40% of 440? (a) 1760 (b) 264 (c) 176 (d) 352
  3. 3.A bag marked ₹300 is sold at a 40% discount. What is its selling price? (a) ₹120 (b) ₹180 (c) ₹420 (d) ₹260
  4. 4.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 20% (b) 10% (c) 72% (d) 15%
  6. 6.What is 15% of 560? (a) 476 (b) 84 (c) 168 (d) 840
  7. 7.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
  8. 8.What is 15% of 660? (a) 990 (b) 99 (c) 561 (d) 198
  9. 9.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 88%
  10. 10.A bag marked ₹660 is sold at a 30% discount. What is its selling price? (a) ₹462 (b) ₹630 (c) ₹198 (d) ₹858
  11. 11.What is 30% of 180? (a) 54 (b) 540 (c) 108 (d) 126
  12. 12.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  13. 13.What is 20% of 320? (a) 256 (b) 64 (c) 640 (d) 128
  14. 14.A bag marked ₹1300 is sold at a 50% discount. What is its selling price? (a) ₹1250 (b) ₹651 (c) ₹1950 (d) ₹650
  15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  16. 16.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹191 (b) ₹330 (c) ₹190 (d) ₹570
  17. 17.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 45% (b) 64% (c) 35% (d) 40%
  18. 18.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹504 (c) ₹84 (d) ₹400
  19. 19.What is 5% of 700? (a) 350 (b) 35 (c) 665 (d) 70
  20. 20.What is 50% of 300? (a) 300 (b) 1500 (c) 151 (d) 150
  21. 21.What is 10% of 880? (a) 176 (b) 88 (c) 880 (d) 792
  22. 22.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 10% (b) 20% (c) 45% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 38%
  24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 15%
  25. 25.A shopkeeper buys a toy for ₹440 and sells it for ₹616. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  26. 26.A bag marked ₹840 is sold at a 50% discount. What is its selling price? (a) ₹790 (b) ₹1260 (c) ₹420 (d) ₹421
  27. 27.What is 10% of 60? (a) 60 (b) 6 (c) 54 (d) 12
  28. 28.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 25% (b) 31% (c) 30% (d) 35%
  29. 29.What is 75% of 600? (a) 450 (b) 900 (c) 4500 (d) 150
  30. 30.What is 75% of 460? (a) 115 (b) 3450 (c) 345 (d) 690
  31. 31.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 20% (b) 15% (c) 76% (d) 25%
  32. 32.A bag marked ₹200 is sold at a 10% discount. What is its selling price? (a) ₹180 (b) ₹20 (c) ₹220 (d) ₹190
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 15% (b) 20% (c) 5% (d) 10%
  34. 34.A shopkeeper buys a toy for ₹220 and sells it for ₹176. What is his loss percent? (a) 25% (b) 15% (c) 44% (d) 20%
  35. 35.A bag marked ₹1920 is sold at a 50% discount. What is its selling price? (a) ₹1870 (b) ₹961 (c) ₹2880 (d) ₹960
  36. 36.What is 60% of 500? (a) 3000 (b) 200 (c) 600 (d) 300
  37. 37.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  38. 38.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 10% (b) 6% (c) 9% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 40%
  40. 40.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 10% (b) 5% (c) 23% (d) 6%

Answer key

  1. 20%
  2. 176
  3. ₹180
  4. 20%
  5. 15%
  6. 84
  7. 40%
  8. 99
  9. 40%
  10. ₹462
  11. 54
  12. 50%
  13. 64
  14. ₹650
  15. 30%
  16. ₹190
  17. 40%
  18. ₹336
  19. 35
  20. 150
  21. 88
  22. 15%
  23. 5%
  24. 5%
  25. 40%
  26. ₹420
  27. 6
  28. 30%
  29. 450
  30. 345
  31. 20%
  32. ₹180
  33. 10%
  34. 20%
  35. ₹960
  36. 300
  37. 40%
  38. 5%
  39. 10%
  40. 5%

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