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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 296 · 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 ₹100 and sells it for ₹130. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  2. 2.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 22%
  3. 3.What is 20% of 380? (a) 76 (b) 760 (c) 152 (d) 304
  4. 4.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1064 (b) ₹1976 (c) ₹1490 (d) ₹456
  5. 5.A bag marked ₹1500 is sold at a 10% discount. What is its selling price? (a) ₹1350 (b) ₹1650 (c) ₹150 (d) ₹1490
  6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  7. 7.A bag marked ₹1820 is sold at a 25% discount. What is its selling price? (a) ₹455 (b) ₹2275 (c) ₹1365 (d) ₹1795
  8. 8.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 25% (b) 20% (c) 96% (d) 15%
  9. 9.A shopkeeper buys a toy for ₹160 and sells it for ₹192. What is his profit percent? (a) 15% (b) 20% (c) 32% (d) 25%
  10. 10.What is 60% of 40? (a) 240 (b) 16 (c) 48 (d) 24
  11. 11.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  12. 12.What is 25% of 460? (a) 115 (b) 1150 (c) 345 (d) 230
  13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  14. 14.What is 25% of 480? (a) 240 (b) 360 (c) 1200 (d) 120
  15. 15.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  17. 17.A bag marked ₹1580 is sold at a 40% discount. What is its selling price? (a) ₹1540 (b) ₹948 (c) ₹2212 (d) ₹632
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 16%
  19. 19.A bag marked ₹700 is sold at a 30% discount. What is its selling price? (a) ₹490 (b) ₹910 (c) ₹670 (d) ₹210
  20. 20.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  21. 21.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 23%
  22. 22.A bag marked ₹1880 is sold at a 10% discount. What is its selling price? (a) ₹188 (b) ₹1870 (c) ₹1692 (d) ₹2068
  23. 23.What is 25% of 160? (a) 80 (b) 120 (c) 40 (d) 400
  24. 24.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  25. 25.A shopkeeper buys a toy for ₹560 and sells it for ₹784. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
  26. 26.A bag marked ₹1800 is sold at a 15% discount. What is its selling price? (a) ₹1785 (b) ₹2070 (c) ₹270 (d) ₹1530
  27. 27.What is 20% of 400? (a) 80 (b) 800 (c) 160 (d) 320
  28. 28.What is 20% of 300? (a) 600 (b) 240 (c) 120 (d) 60
  29. 29.What is 10% of 840? (a) 84 (b) 168 (c) 756 (d) 840
  30. 30.A shopkeeper buys a toy for ₹560 and sells it for ₹700. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 25% (b) 54% (c) 35% (d) 30%
  32. 32.What is 20% of 180? (a) 72 (b) 144 (c) 36 (d) 360
  33. 33.What is 30% of 920? (a) 552 (b) 644 (c) 276 (d) 2760
  34. 34.A bag marked ₹1700 is sold at a 40% discount. What is its selling price? (a) ₹680 (b) ₹2380 (c) ₹1020 (d) ₹1660
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  36. 36.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  37. 37.What is 20% of 500? (a) 200 (b) 400 (c) 100 (d) 1000
  38. 38.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹960 and sells it for ₹720. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%

Answer key

  1. 30%
  2. 10%
  3. 76
  4. ₹1064
  5. ₹1350
  6. 40%
  7. ₹1365
  8. 20%
  9. 20%
  10. 24
  11. 40%
  12. 115
  13. 30%
  14. 120
  15. 20%
  16. 25%
  17. ₹948
  18. 15%
  19. ₹490
  20. 25%
  21. 5%
  22. ₹1692
  23. 40
  24. 25%
  25. 40%
  26. ₹1530
  27. 80
  28. 60
  29. 84
  30. 25%
  31. 30%
  32. 36
  33. 276
  34. ₹1020
  35. 40%
  36. 50%
  37. 100
  38. 25%
  39. 25%
  40. 30%

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