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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 345 · 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 ₹820 and sells it for ₹738. What is his loss percent? (a) 10% (b) 82% (c) 5% (d) 15%
  2. 2.What is 40% of 300? (a) 1200 (b) 240 (c) 120 (d) 180
  3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  4. 4.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 15% (b) 10% (c) 21% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 64% (b) 35% (c) 40% (d) 45%
  6. 6.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹575 (b) ₹485 (c) ₹425 (d) ₹75
  7. 7.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  8. 8.A shopkeeper buys a toy for ₹860 and sells it for ₹1118. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  9. 9.A bag marked ₹920 is sold at a 15% discount. What is its selling price? (a) ₹782 (b) ₹905 (c) ₹1058 (d) ₹138
  10. 10.What is 5% of 480? (a) 240 (b) 456 (c) 24 (d) 48
  11. 11.What is 30% of 520? (a) 1560 (b) 312 (c) 364 (d) 156
  12. 12.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 15% (b) 25% (c) 36% (d) 20%
  13. 13.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 30% (b) 75% (c) 20% (d) 25%
  14. 14.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 30% (b) 25% (c) 84% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 45% (b) 25% (c) 20% (d) 30%
  16. 16.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹980 (b) ₹408 (c) ₹612 (d) ₹1428
  17. 17.What is 15% of 740? (a) 111 (b) 222 (c) 1110 (d) 629
  18. 18.A bag marked ₹1780 is sold at a 20% discount. What is its selling price? (a) ₹2136 (b) ₹356 (c) ₹1424 (d) ₹1760
  19. 19.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹748 (b) ₹670 (c) ₹612 (d) ₹68
  20. 20.A shopkeeper buys a toy for ₹820 and sells it for ₹779. What is his loss percent? (a) 41% (b) 10% (c) 6% (d) 5%
  21. 21.What is 60% of 540? (a) 3240 (b) 216 (c) 324 (d) 648
  22. 22.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹462 (b) ₹378 (c) ₹410 (d) ₹42
  23. 23.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹102 (b) ₹665 (c) ₹578 (d) ₹782
  24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  25. 25.What is 20% of 460? (a) 368 (b) 184 (c) 920 (d) 92
  26. 26.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 10% (b) 24% (c) 5% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  28. 28.A bag marked ₹220 is sold at a 10% discount. What is its selling price? (a) ₹242 (b) ₹22 (c) ₹210 (d) ₹198
  29. 29.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 25% (b) 45% (c) 30% (d) 20%
  30. 30.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 10% (b) 5% (c) 42% (d) 15%
  31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹777. What is his profit percent? (a) 37% (b) 5% (c) 10% (d) 6%
  32. 32.A shopkeeper buys a toy for ₹560 and sells it for ₹700. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  33. 33.What is 75% of 860? (a) 6450 (b) 645 (c) 215 (d) 1290
  34. 34.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 5% (b) 62% (c) 15% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹620 and sells it for ₹713. What is his profit percent? (a) 10% (b) 20% (c) 93% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  37. 37.What is 15% of 980? (a) 833 (b) 1470 (c) 147 (d) 294
  38. 38.What is 15% of 800? (a) 1200 (b) 240 (c) 120 (d) 680
  39. 39.What is 75% of 120? (a) 900 (b) 180 (c) 90 (d) 30
  40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%

Answer key

  1. 10%
  2. 120
  3. 50%
  4. 15%
  5. 40%
  6. ₹425
  7. 25%
  8. 30%
  9. ₹782
  10. 24
  11. 156
  12. 20%
  13. 25%
  14. 30%
  15. 25%
  16. ₹612
  17. 111
  18. ₹1424
  19. ₹612
  20. 5%
  21. 324
  22. ₹378
  23. ₹578
  24. 40%
  25. 92
  26. 10%
  27. 25%
  28. ₹198
  29. 25%
  30. 10%
  31. 5%
  32. 25%
  33. 645
  34. 10%
  35. 15%
  36. 25%
  37. 147
  38. 120
  39. 90
  40. 40%

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