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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 114 · 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 ₹200 and sells it for ₹210. What is his profit percent? (a) 4% (b) 5% (c) 10% (d) 6%
  2. 2.What is 25% of 180? (a) 135 (b) 450 (c) 90 (d) 45
  3. 3.What is 20% of 300? (a) 600 (b) 60 (c) 240 (d) 120
  4. 4.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  5. 5.A shopkeeper buys a toy for ₹780 and sells it for ₹1014. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  6. 6.What is 25% of 840? (a) 630 (b) 420 (c) 2100 (d) 210
  7. 7.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 75%
  8. 8.A bag marked ₹500 is sold at a 10% discount. What is its selling price? (a) ₹490 (b) ₹550 (c) ₹50 (d) ₹450
  9. 9.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 48%
  10. 10.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 15% (b) 5% (c) 72% (d) 10%
  11. 11.What is 5% of 440? (a) 22 (b) 44 (c) 220 (d) 418
  12. 12.What is 5% of 220? (a) 22 (b) 11 (c) 209 (d) 110
  13. 13.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 21%
  14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹192. What is his profit percent? (a) 25% (b) 32% (c) 15% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 50%
  16. 16.What is 15% of 980? (a) 1470 (b) 833 (c) 147 (d) 294
  17. 17.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 20% (b) 15% (c) 93% (d) 10%
  18. 18.What is 40% of 180? (a) 108 (b) 144 (c) 720 (d) 72
  19. 19.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 30%
  21. 21.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  22. 22.What is 15% of 120? (a) 36 (b) 18 (c) 180 (d) 102
  23. 23.A bag marked ₹1140 is sold at a 50% discount. What is its selling price? (a) ₹1090 (b) ₹570 (c) ₹571 (d) ₹1710
  24. 24.A shopkeeper buys a toy for ₹440 and sells it for ₹396. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 44%
  25. 25.What is 25% of 880? (a) 2200 (b) 440 (c) 220 (d) 660
  26. 26.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 5% (b) 15% (c) 36% (d) 10%
  27. 27.What is 10% of 300? (a) 270 (b) 300 (c) 30 (d) 60
  28. 28.What is 5% of 160? (a) 8 (b) 80 (c) 152 (d) 16
  29. 29.What is 20% of 920? (a) 368 (b) 1840 (c) 736 (d) 184
  30. 30.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹952 (b) ₹1288 (c) ₹1105 (d) ₹168
  31. 31.A bag marked ₹1660 is sold at a 50% discount. What is its selling price? (a) ₹830 (b) ₹2490 (c) ₹831 (d) ₹1610
  32. 32.What is 75% of 440? (a) 110 (b) 3300 (c) 660 (d) 330
  33. 33.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  34. 34.What is 75% of 160? (a) 1200 (b) 240 (c) 120 (d) 40
  35. 35.What is 75% of 700? (a) 525 (b) 175 (c) 5250 (d) 1050
  36. 36.A shopkeeper buys a toy for ₹940 and sells it for ₹1128. What is his profit percent? (a) 21% (b) 25% (c) 15% (d) 20%
  37. 37.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  38. 38.What is 10% of 840? (a) 840 (b) 168 (c) 84 (d) 756
  39. 39.What is 25% of 240? (a) 600 (b) 120 (c) 180 (d) 60
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%

Answer key

  1. 5%
  2. 45
  3. 60
  4. 30%
  5. 30%
  6. 210
  7. 15%
  8. ₹450
  9. 10%
  10. 10%
  11. 22
  12. 11
  13. 20%
  14. 20%
  15. 10%
  16. 147
  17. 15%
  18. 72
  19. 30%
  20. 15%
  21. 20%
  22. 18
  23. ₹570
  24. 10%
  25. 220
  26. 10%
  27. 30
  28. 8
  29. 184
  30. ₹952
  31. ₹830
  32. 330
  33. 40%
  34. 120
  35. 525
  36. 20%
  37. 25%
  38. 84
  39. 60
  40. 30%

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