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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 963 · 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 ₹420 and sells it for ₹525. What is his profit percent? (a) 26% (b) 20% (c) 25% (d) 30%
  2. 2.A bag marked ₹260 is sold at a 15% discount. What is its selling price? (a) ₹299 (b) ₹39 (c) ₹221 (d) ₹245
  3. 3.What is 20% of 340? (a) 680 (b) 272 (c) 136 (d) 68
  4. 4.What is 30% of 400? (a) 120 (b) 1200 (c) 280 (d) 240
  5. 5.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%
  6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹640. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 21%
  7. 7.What is 15% of 800? (a) 1200 (b) 680 (c) 240 (d) 120
  8. 8.What is 75% of 120? (a) 180 (b) 30 (c) 90 (d) 900
  9. 9.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 15% (b) 10% (c) 68% (d) 5%
  10. 10.A bag marked ₹1320 is sold at a 40% discount. What is its selling price? (a) ₹528 (b) ₹1848 (c) ₹792 (d) ₹1280
  11. 11.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 80%
  12. 12.A bag marked ₹660 is sold at a 50% discount. What is its selling price? (a) ₹610 (b) ₹990 (c) ₹330 (d) ₹331
  13. 13.What is 15% of 300? (a) 90 (b) 450 (c) 45 (d) 255
  14. 14.What is 20% of 100? (a) 80 (b) 40 (c) 200 (d) 20
  15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 4%
  16. 16.What is 10% of 80? (a) 16 (b) 80 (c) 8 (d) 72
  17. 17.A bag marked ₹1400 is sold at a 10% discount. What is its selling price? (a) ₹1260 (b) ₹1390 (c) ₹1540 (d) ₹140
  18. 18.A shopkeeper buys a toy for ₹240 and sells it for ₹300. What is his profit percent? (a) 30% (b) 20% (c) 60% (d) 25%
  19. 19.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  20. 20.What is 50% of 160? (a) 800 (b) 81 (c) 80 (d) 160
  21. 21.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 15% (b) 20% (c) 39% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 5% (b) 10% (c) 76% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹280 and sells it for ₹420. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  24. 24.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 6% (c) 20% (d) 5%
  25. 25.A shopkeeper buys a toy for ₹540 and sells it for ₹702. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 25% (b) 48% (c) 30% (d) 35%
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
  28. 28.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 45% (b) 30% (c) 20% (d) 25%
  29. 29.What is 75% of 680? (a) 1020 (b) 510 (c) 170 (d) 5100
  30. 30.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 14% (b) 6% (c) 10% (d) 5%
  31. 31.What is 15% of 160? (a) 240 (b) 136 (c) 48 (d) 24
  32. 32.What is 60% of 520? (a) 3120 (b) 312 (c) 624 (d) 208
  33. 33.What is 5% of 40? (a) 20 (b) 2 (c) 4 (d) 38
  34. 34.What is 10% of 180? (a) 180 (b) 18 (c) 36 (d) 162
  35. 35.A bag marked ₹900 is sold at a 10% discount. What is its selling price? (a) ₹810 (b) ₹990 (c) ₹90 (d) ₹890
  36. 36.A shopkeeper buys a toy for ₹740 and sells it for ₹703. What is his loss percent? (a) 37% (b) 6% (c) 5% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 69% (b) 15% (c) 10% (d) 20%
  38. 38.What is 25% of 420? (a) 315 (b) 210 (c) 1050 (d) 105
  39. 39.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  40. 40.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 20% (b) 5% (c) 10% (d) 6%

Answer key

  1. 25%
  2. ₹221
  3. 68
  4. 120
  5. 20%
  6. 20%
  7. 120
  8. 90
  9. 10%
  10. ₹792
  11. 10%
  12. ₹330
  13. 45
  14. 20
  15. 5%
  16. 8
  17. ₹1260
  18. 25%
  19. 40%
  20. 80
  21. 15%
  22. 10%
  23. 50%
  24. 5%
  25. 30%
  26. 30%
  27. 15%
  28. 25%
  29. 510
  30. 5%
  31. 24
  32. 312
  33. 2
  34. 18
  35. ₹810
  36. 5%
  37. 15%
  38. 105
  39. 25%
  40. 5%

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