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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 103 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  2. 2.A bag marked ₹1780 is sold at a 30% discount. What is its selling price? (a) ₹1246 (b) ₹534 (c) ₹1750 (d) ₹2314
  3. 3.What is 60% of 300? (a) 360 (b) 180 (c) 1800 (d) 120
  4. 4.What is 30% of 1000? (a) 700 (b) 600 (c) 3000 (d) 300
  5. 5.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 35% (b) 30% (c) 31% (d) 25%
  6. 6.What is 5% of 560? (a) 280 (b) 532 (c) 28 (d) 56
  7. 7.A bag marked ₹1340 is sold at a 40% discount. What is its selling price? (a) ₹1876 (b) ₹804 (c) ₹536 (d) ₹1300
  8. 8.What is 75% of 420? (a) 3150 (b) 630 (c) 105 (d) 315
  9. 9.What is 5% of 780? (a) 390 (b) 741 (c) 78 (d) 39
  10. 10.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 5% (b) 6% (c) 32% (d) 10%
  11. 11.What is 50% of 320? (a) 161 (b) 320 (c) 160 (d) 1600
  12. 12.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 6% (b) 8% (c) 10% (d) 5%
  13. 13.A shopkeeper buys a toy for ₹1000 and sells it for ₹700. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  14. 14.What is 10% of 280? (a) 252 (b) 28 (c) 280 (d) 56
  15. 15.A bag marked ₹520 is sold at a 20% discount. What is its selling price? (a) ₹624 (b) ₹416 (c) ₹500 (d) ₹104
  16. 16.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  17. 17.What is 30% of 80? (a) 240 (b) 56 (c) 48 (d) 24
  18. 18.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 14% (b) 5% (c) 10% (d) 15%
  19. 19.What is 40% of 240? (a) 192 (b) 96 (c) 960 (d) 144
  20. 20.What is 30% of 240? (a) 720 (b) 72 (c) 168 (d) 144
  21. 21.A bag marked ₹320 is sold at a 50% discount. What is its selling price? (a) ₹160 (b) ₹480 (c) ₹161 (d) ₹270
  22. 22.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 15% (b) 18% (c) 10% (d) 20%
  23. 23.A shopkeeper buys a toy for ₹940 and sells it for ₹1128. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  24. 24.What is 10% of 40? (a) 8 (b) 4 (c) 36 (d) 40
  25. 25.What is 20% of 500? (a) 1000 (b) 100 (c) 400 (d) 200
  26. 26.A bag marked ₹1380 is sold at a 15% discount. What is its selling price? (a) ₹1587 (b) ₹207 (c) ₹1365 (d) ₹1173
  27. 27.What is 40% of 880? (a) 3520 (b) 528 (c) 704 (d) 352
  28. 28.What is 10% of 420? (a) 84 (b) 42 (c) 420 (d) 378
  29. 29.What is 20% of 880? (a) 704 (b) 352 (c) 1760 (d) 176
  30. 30.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 45%
  31. 31.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  32. 32.What is 15% of 260? (a) 390 (b) 221 (c) 78 (d) 39
  33. 33.What is 10% of 440? (a) 440 (b) 44 (c) 396 (d) 88
  34. 34.A shopkeeper buys a toy for ₹800 and sells it for ₹1040. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  35. 35.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 20% (b) 10% (c) 57% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  37. 37.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 6% (b) 10% (c) 16% (d) 5%
  38. 38.What is 5% of 920? (a) 92 (b) 874 (c) 460 (d) 46
  39. 39.What is 20% of 200? (a) 160 (b) 80 (c) 400 (d) 40
  40. 40.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%

Answer key

  1. 40%
  2. ₹1246
  3. 180
  4. 300
  5. 30%
  6. 28
  7. ₹804
  8. 315
  9. 39
  10. 5%
  11. 160
  12. 5%
  13. 30%
  14. 28
  15. ₹416
  16. 20%
  17. 24
  18. 10%
  19. 96
  20. 72
  21. ₹160
  22. 15%
  23. 20%
  24. 4
  25. 100
  26. ₹1173
  27. 352
  28. 42
  29. 176
  30. 15%
  31. 40%
  32. 39
  33. 44
  34. 30%
  35. 15%
  36. 20%
  37. 5%
  38. 46
  39. 40
  40. 20%

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