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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 809 · 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 bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹405 (b) ₹135 (c) ₹515 (d) ₹675
  2. 2.A shopkeeper buys a toy for ₹440 and sells it for ₹330. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
  3. 3.What is 30% of 220? (a) 154 (b) 660 (c) 132 (d) 66
  4. 4.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  5. 5.A shopkeeper buys a toy for ₹940 and sells it for ₹1175. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  6. 6.What is 5% of 120? (a) 60 (b) 12 (c) 114 (d) 6
  7. 7.A shopkeeper buys a toy for ₹420 and sells it for ₹483. What is his profit percent? (a) 20% (b) 10% (c) 63% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  9. 9.A bag marked ₹420 is sold at a 50% discount. What is its selling price? (a) ₹211 (b) ₹630 (c) ₹370 (d) ₹210
  10. 10.What is 20% of 300? (a) 600 (b) 240 (c) 60 (d) 120
  11. 11.What is 50% of 480? (a) 240 (b) 2400 (c) 480 (d) 241
  12. 12.A shopkeeper buys a toy for ₹360 and sells it for ₹432. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 72%
  13. 13.What is 15% of 60? (a) 9 (b) 18 (c) 51 (d) 90
  14. 14.What is 25% of 440? (a) 1100 (b) 330 (c) 220 (d) 110
  15. 15.What is 25% of 980? (a) 490 (b) 245 (c) 735 (d) 2450
  16. 16.What is 75% of 660? (a) 990 (b) 495 (c) 165 (d) 4950
  17. 17.What is 25% of 340? (a) 850 (b) 85 (c) 170 (d) 255
  18. 18.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  19. 19.A bag marked ₹740 is sold at a 25% discount. What is its selling price? (a) ₹555 (b) ₹715 (c) ₹185 (d) ₹925
  20. 20.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 6% (b) 5% (c) 28% (d) 10%
  21. 21.A bag marked ₹200 is sold at a 30% discount. What is its selling price? (a) ₹140 (b) ₹60 (c) ₹260 (d) ₹170
  22. 22.A bag marked ₹1060 is sold at a 50% discount. What is its selling price? (a) ₹1590 (b) ₹530 (c) ₹1010 (d) ₹531
  23. 23.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 10% (b) 39% (c) 20% (d) 15%
  24. 24.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 5% (b) 10% (c) 29% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹420 and sells it for ₹336. What is his loss percent? (a) 84% (b) 20% (c) 25% (d) 15%
  26. 26.A bag marked ₹1660 is sold at a 20% discount. What is its selling price? (a) ₹332 (b) ₹1328 (c) ₹1992 (d) ₹1640
  27. 27.What is 30% of 140? (a) 84 (b) 420 (c) 42 (d) 98
  28. 28.What is 15% of 260? (a) 221 (b) 390 (c) 39 (d) 78
  29. 29.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  30. 30.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 86%
  31. 31.What is 20% of 140? (a) 280 (b) 28 (c) 112 (d) 56
  32. 32.What is 20% of 680? (a) 544 (b) 1360 (c) 272 (d) 136
  33. 33.What is 50% of 1000? (a) 501 (b) 5000 (c) 1000 (d) 500
  34. 34.A bag marked ₹360 is sold at a 50% discount. What is its selling price? (a) ₹540 (b) ₹310 (c) ₹180 (d) ₹181
  35. 35.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹1160 (b) ₹720 (c) ₹480 (d) ₹1680
  36. 36.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 84% (b) 5% (c) 15% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  39. 39.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 6% (b) 43% (c) 10% (d) 5%
  40. 40.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 22% (b) 6% (c) 5% (d) 10%

Answer key

  1. ₹405
  2. 25%
  3. 66
  4. 15%
  5. 25%
  6. 6
  7. 15%
  8. 30%
  9. ₹210
  10. 60
  11. 240
  12. 20%
  13. 9
  14. 110
  15. 245
  16. 495
  17. 85
  18. 20%
  19. ₹555
  20. 5%
  21. ₹140
  22. ₹530
  23. 15%
  24. 5%
  25. 20%
  26. ₹1328
  27. 42
  28. 39
  29. 30%
  30. 10%
  31. 28
  32. 136
  33. 500
  34. ₹180
  35. ₹720
  36. 10%
  37. 20%
  38. 30%
  39. 5%
  40. 5%

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