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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 778 · 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 ₹320 is sold at a 50% discount. What is its selling price? (a) ₹160 (b) ₹161 (c) ₹270 (d) ₹480
  2. 2.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 15% (b) 20% (c) 28% (d) 25%
  3. 3.What is 15% of 500? (a) 75 (b) 150 (c) 750 (d) 425
  4. 4.What is 30% of 900? (a) 270 (b) 630 (c) 540 (d) 2700
  5. 5.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 81% (b) 20% (c) 15% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 20% (b) 52% (c) 25% (d) 15%
  8. 8.A bag marked ₹920 is sold at a 30% discount. What is its selling price? (a) ₹1196 (b) ₹644 (c) ₹276 (d) ₹890
  9. 9.What is 15% of 440? (a) 374 (b) 660 (c) 132 (d) 66
  10. 10.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  11. 11.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  12. 12.A bag marked ₹1600 is sold at a 25% discount. What is its selling price? (a) ₹1575 (b) ₹2000 (c) ₹1200 (d) ₹400
  13. 13.A bag marked ₹440 is sold at a 20% discount. What is its selling price? (a) ₹352 (b) ₹528 (c) ₹420 (d) ₹88
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 25% (b) 84% (c) 15% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 5% (b) 20% (c) 15% (d) 10%
  16. 16.A bag marked ₹580 is sold at a 20% discount. What is its selling price? (a) ₹116 (b) ₹696 (c) ₹464 (d) ₹560
  17. 17.What is 40% of 280? (a) 112 (b) 224 (c) 168 (d) 1120
  18. 18.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 5% (b) 86% (c) 10% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 74%
  20. 20.What is 60% of 260? (a) 156 (b) 1560 (c) 104 (d) 312
  21. 21.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  22. 22.A bag marked ₹1260 is sold at a 10% discount. What is its selling price? (a) ₹1134 (b) ₹1386 (c) ₹1250 (d) ₹126
  23. 23.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹216 (b) ₹324 (c) ₹500 (d) ₹756
  24. 24.What is 15% of 620? (a) 186 (b) 93 (c) 527 (d) 930
  25. 25.What is 10% of 940? (a) 94 (b) 188 (c) 846 (d) 940
  26. 26.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 15% (b) 21% (c) 25% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 46%
  28. 28.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  29. 29.A shopkeeper buys a toy for ₹560 and sells it for ₹700. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  31. 31.What is 20% of 280? (a) 56 (b) 224 (c) 560 (d) 112
  32. 32.A shopkeeper buys a toy for ₹660 and sells it for ₹528. What is his loss percent? (a) 21% (b) 20% (c) 15% (d) 25%
  33. 33.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 20% (b) 25% (c) 21% (d) 15%
  34. 34.A bag marked ₹1720 is sold at a 30% discount. What is its selling price? (a) ₹2236 (b) ₹1690 (c) ₹1204 (d) ₹516
  35. 35.What is 15% of 800? (a) 1200 (b) 680 (c) 240 (d) 120
  36. 36.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 57% (b) 20% (c) 10% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹160 and sells it for ₹96. What is his loss percent? (a) 40% (b) 64% (c) 35% (d) 45%
  38. 38.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 30% (b) 5% (c) 10% (d) 15%
  39. 39.What is 5% of 440? (a) 44 (b) 418 (c) 220 (d) 22
  40. 40.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 60% (b) 10% (c) 5% (d) 15%

Answer key

  1. ₹160
  2. 20%
  3. 75
  4. 270
  5. 25%
  6. 15%
  7. 20%
  8. ₹644
  9. 66
  10. 40%
  11. 25%
  12. ₹1200
  13. ₹352
  14. 20%
  15. 10%
  16. ₹464
  17. 112
  18. 10%
  19. 10%
  20. 156
  21. 30%
  22. ₹1134
  23. ₹324
  24. 93
  25. 94
  26. 20%
  27. 5%
  28. 30%
  29. 25%
  30. 25%
  31. 56
  32. 20%
  33. 20%
  34. ₹1204
  35. 120
  36. 15%
  37. 40%
  38. 10%
  39. 22
  40. 10%

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