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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 836 · 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 ₹1220 is sold at a 10% discount. What is its selling price? (a) ₹1210 (b) ₹1342 (c) ₹1098 (d) ₹122
  2. 2.What is 10% of 800? (a) 800 (b) 80 (c) 720 (d) 160
  3. 3.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  4. 4.What is 60% of 860? (a) 344 (b) 516 (c) 5160 (d) 1032
  5. 5.A shopkeeper buys a toy for ₹600 and sells it for ₹360. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  6. 6.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 15% (b) 69% (c) 10% (d) 20%
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 10% (b) 36% (c) 15% (d) 20%
  8. 8.A bag marked ₹1960 is sold at a 25% discount. What is its selling price? (a) ₹2450 (b) ₹490 (c) ₹1935 (d) ₹1470
  9. 9.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 20% (b) 36% (c) 10% (d) 15%
  10. 10.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 10% (b) 5% (c) 96% (d) 15%
  11. 11.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 10% (b) 15% (c) 42% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹280 and sells it for ₹322. What is his profit percent? (a) 20% (b) 15% (c) 42% (d) 10%
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 10% (b) 15% (c) 72% (d) 5%
  14. 14.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 28% (b) 10% (c) 15% (d) 5%
  15. 15.A bag marked ₹200 is sold at a 15% discount. What is its selling price? (a) ₹185 (b) ₹230 (c) ₹30 (d) ₹170
  16. 16.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 15% (b) 10% (c) 16% (d) 20%
  17. 17.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹828 (b) ₹612 (c) ₹705 (d) ₹108
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 35% (b) 5% (c) 10% (d) 6%
  19. 19.What is 50% of 820? (a) 4100 (b) 411 (c) 410 (d) 820
  20. 20.A bag marked ₹200 is sold at a 50% discount. What is its selling price? (a) ₹300 (b) ₹150 (c) ₹101 (d) ₹100
  21. 21.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
  22. 22.What is 15% of 160? (a) 136 (b) 240 (c) 24 (d) 48
  23. 23.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%
  24. 24.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 20% (b) 40% (c) 25% (d) 30%
  25. 25.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 28% (b) 5% (c) 10% (d) 15%
  26. 26.A bag marked ₹1080 is sold at a 15% discount. What is its selling price? (a) ₹162 (b) ₹1242 (c) ₹1065 (d) ₹918
  27. 27.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 20% (b) 95% (c) 30% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹560 and sells it for ₹840. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 15% (b) 26% (c) 10% (d) 5%
  30. 30.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹550 (b) ₹330 (c) ₹415 (d) ₹110
  31. 31.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  32. 32.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 5% (b) 10% (c) 84% (d) 15%
  33. 33.What is 75% of 480? (a) 3600 (b) 720 (c) 360 (d) 120
  34. 34.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 36% (b) 5% (c) 10% (d) 15%
  35. 35.A bag marked ₹400 is sold at a 50% discount. What is its selling price? (a) ₹201 (b) ₹600 (c) ₹350 (d) ₹200
  36. 36.A shopkeeper buys a toy for ₹180 and sells it for ₹126. What is his loss percent? (a) 25% (b) 30% (c) 54% (d) 35%
  37. 37.A shopkeeper buys a toy for ₹100 and sells it for ₹120. What is his profit percent? (a) 15% (b) 25% (c) 21% (d) 20%
  38. 38.A bag marked ₹360 is sold at a 50% discount. What is its selling price? (a) ₹180 (b) ₹181 (c) ₹310 (d) ₹540
  39. 39.What is 5% of 280? (a) 28 (b) 140 (c) 266 (d) 14
  40. 40.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 16%

Answer key

  1. ₹1098
  2. 80
  3. 30%
  4. 516
  5. 40%
  6. 15%
  7. 15%
  8. ₹1470
  9. 15%
  10. 10%
  11. 15%
  12. 15%
  13. 10%
  14. 10%
  15. ₹170
  16. 15%
  17. ₹612
  18. 5%
  19. 410
  20. ₹100
  21. 20%
  22. 24
  23. 15%
  24. 25%
  25. 10%
  26. ₹918
  27. 25%
  28. 50%
  29. 10%
  30. ₹330
  31. 30%
  32. 10%
  33. 360
  34. 10%
  35. ₹200
  36. 30%
  37. 20%
  38. ₹180
  39. 14
  40. 15%

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