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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 444 · 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 ₹860 and sells it for ₹602. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  2. 2.What is 60% of 340? (a) 408 (b) 136 (c) 2040 (d) 204
  3. 3.What is 50% of 280? (a) 140 (b) 280 (c) 1400 (d) 141
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 25% (b) 20% (c) 75% (d) 30%
  5. 5.What is 40% of 760? (a) 304 (b) 608 (c) 3040 (d) 456
  6. 6.A bag marked ₹300 is sold at a 40% discount. What is its selling price? (a) ₹420 (b) ₹120 (c) ₹260 (d) ₹180
  7. 7.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 10% (b) 18% (c) 6% (d) 5%
  8. 8.A bag marked ₹1980 is sold at a 30% discount. What is its selling price? (a) ₹1950 (b) ₹2574 (c) ₹594 (d) ₹1386
  9. 9.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 20% (b) 25% (c) 21% (d) 15%
  10. 10.A shopkeeper buys a toy for ₹980 and sells it for ₹931. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 49%
  11. 11.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 25% (b) 15% (c) 40% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  13. 13.What is 50% of 260? (a) 260 (b) 1300 (c) 131 (d) 130
  14. 14.A bag marked ₹1960 is sold at a 20% discount. What is its selling price? (a) ₹392 (b) ₹1940 (c) ₹2352 (d) ₹1568
  15. 15.A bag marked ₹1260 is sold at a 15% discount. What is its selling price? (a) ₹1245 (b) ₹1071 (c) ₹189 (d) ₹1449
  16. 16.What is 5% of 940? (a) 47 (b) 470 (c) 893 (d) 94
  17. 17.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%
  18. 18.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 15% (b) 94% (c) 5% (d) 10%
  19. 19.What is 30% of 200? (a) 600 (b) 140 (c) 120 (d) 60
  20. 20.What is 20% of 320? (a) 256 (b) 128 (c) 640 (d) 64
  21. 21.What is 60% of 920? (a) 5520 (b) 552 (c) 368 (d) 1104
  22. 22.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹575 (b) ₹485 (c) ₹75 (d) ₹425
  23. 23.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 39% (b) 15% (c) 20% (d) 10%
  24. 24.A shopkeeper buys a toy for ₹980 and sells it for ₹1127. What is his profit percent? (a) 10% (b) 15% (c) 16% (d) 20%
  25. 25.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 5% (b) 10% (c) 11% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 6% (b) 10% (c) 33% (d) 5%
  27. 27.A shopkeeper buys a toy for ₹200 and sells it for ₹120. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 80%
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 66% (b) 35% (c) 25% (d) 30%
  29. 29.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  30. 30.What is 25% of 180? (a) 135 (b) 45 (c) 90 (d) 450
  31. 31.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  33. 33.A bag marked ₹1680 is sold at a 25% discount. What is its selling price? (a) ₹420 (b) ₹1655 (c) ₹2100 (d) ₹1260
  34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹840. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  35. 35.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 42% (b) 5% (c) 6% (d) 10%
  36. 36.What is 5% of 660? (a) 627 (b) 330 (c) 66 (d) 33
  37. 37.A bag marked ₹640 is sold at a 15% discount. What is its selling price? (a) ₹96 (b) ₹625 (c) ₹736 (d) ₹544
  38. 38.A bag marked ₹1220 is sold at a 30% discount. What is its selling price? (a) ₹1586 (b) ₹854 (c) ₹1190 (d) ₹366
  39. 39.A shopkeeper buys a toy for ₹740 and sells it for ₹1036. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  40. 40.What is 50% of 560? (a) 560 (b) 281 (c) 280 (d) 2800

Answer key

  1. 30%
  2. 204
  3. 140
  4. 25%
  5. 304
  6. ₹180
  7. 5%
  8. ₹1386
  9. 20%
  10. 5%
  11. 20%
  12. 25%
  13. 130
  14. ₹1568
  15. ₹1071
  16. 47
  17. 30%
  18. 10%
  19. 60
  20. 64
  21. 552
  22. ₹425
  23. 15%
  24. 15%
  25. 10%
  26. 5%
  27. 40%
  28. 30%
  29. 25%
  30. 45
  31. 25%
  32. 20%
  33. ₹1260
  34. 40%
  35. 5%
  36. 33
  37. ₹544
  38. ₹854
  39. 40%
  40. 280

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