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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 259 · 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 ₹680 is sold at a 15% discount. What is its selling price? (a) ₹102 (b) ₹665 (c) ₹782 (d) ₹578
  2. 2.A bag marked ₹560 is sold at a 40% discount. What is its selling price? (a) ₹336 (b) ₹784 (c) ₹224 (d) ₹520
  3. 3.A shopkeeper buys a toy for ₹140 and sells it for ₹210. What is his profit percent? (a) 50% (b) 70% (c) 45% (d) 55%
  4. 4.A bag marked ₹1380 is sold at a 50% discount. What is its selling price? (a) ₹2070 (b) ₹1330 (c) ₹691 (d) ₹690
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 15% (b) 5% (c) 30% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 66%
  7. 7.What is 40% of 720? (a) 2880 (b) 432 (c) 576 (d) 288
  8. 8.What is 50% of 540? (a) 271 (b) 270 (c) 2700 (d) 540
  9. 9.What is 10% of 820? (a) 164 (b) 820 (c) 738 (d) 82
  10. 10.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 5% (b) 36% (c) 10% (d) 6%
  11. 11.What is 5% of 340? (a) 323 (b) 17 (c) 170 (d) 34
  12. 12.A shopkeeper buys a toy for ₹440 and sells it for ₹396. What is his loss percent? (a) 5% (b) 44% (c) 10% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  14. 14.A shopkeeper buys a toy for ₹880 and sells it for ₹1232. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  15. 15.What is 10% of 860? (a) 860 (b) 774 (c) 86 (d) 172
  16. 16.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  17. 17.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 78%
  18. 18.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
  19. 19.A bag marked ₹780 is sold at a 25% discount. What is its selling price? (a) ₹585 (b) ₹195 (c) ₹975 (d) ₹755
  20. 20.What is 50% of 600? (a) 600 (b) 301 (c) 3000 (d) 300
  21. 21.A shopkeeper buys a toy for ₹420 and sells it for ₹588. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  22. 22.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  23. 23.A bag marked ₹300 is sold at a 50% discount. What is its selling price? (a) ₹450 (b) ₹151 (c) ₹250 (d) ₹150
  24. 24.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 18%
  25. 25.What is 50% of 900? (a) 4500 (b) 900 (c) 450 (d) 451
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  27. 27.What is 30% of 160? (a) 48 (b) 112 (c) 96 (d) 480
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹176. What is his loss percent? (a) 25% (b) 44% (c) 20% (d) 15%
  29. 29.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 5% (b) 6% (c) 40% (d) 10%
  30. 30.What is 15% of 620? (a) 93 (b) 186 (c) 930 (d) 527
  31. 31.What is 40% of 420? (a) 252 (b) 336 (c) 1680 (d) 168
  32. 32.What is 20% of 1000? (a) 200 (b) 2000 (c) 800 (d) 400
  33. 33.What is 5% of 500? (a) 25 (b) 50 (c) 250 (d) 475
  34. 34.A bag marked ₹1560 is sold at a 25% discount. What is its selling price? (a) ₹390 (b) ₹1535 (c) ₹1950 (d) ₹1170
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 75% (b) 20% (c) 25% (d) 30%
  36. 36.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 30% (b) 35% (c) 54% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 80% (b) 25% (c) 15% (d) 20%
  38. 38.What is 40% of 100? (a) 400 (b) 40 (c) 60 (d) 80
  39. 39.What is 40% of 940? (a) 752 (b) 564 (c) 376 (d) 3760
  40. 40.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%

Answer key

  1. ₹578
  2. ₹336
  3. 50%
  4. ₹690
  5. 10%
  6. 15%
  7. 288
  8. 270
  9. 82
  10. 5%
  11. 17
  12. 10%
  13. 40%
  14. 40%
  15. 86
  16. 20%
  17. 30%
  18. 30%
  19. ₹585
  20. 300
  21. 40%
  22. 30%
  23. ₹150
  24. 15%
  25. 450
  26. 40%
  27. 48
  28. 20%
  29. 5%
  30. 93
  31. 168
  32. 200
  33. 25
  34. ₹1170
  35. 25%
  36. 30%
  37. 20%
  38. 40
  39. 376
  40. 20%

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