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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 458 · 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 ₹360 and sells it for ₹378. What is his profit percent? (a) 18% (b) 10% (c) 5% (d) 6%
  2. 2.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 20% (b) 10% (c) 72% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 4% (b) 10% (c) 6% (d) 5%
  4. 4.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  5. 5.What is 30% of 440? (a) 1320 (b) 308 (c) 264 (d) 132
  6. 6.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹295 (b) ₹80 (c) ₹240 (d) ₹400
  7. 7.What is 40% of 720? (a) 576 (b) 288 (c) 2880 (d) 432
  8. 8.What is 50% of 620? (a) 311 (b) 3100 (c) 620 (d) 310
  9. 9.A bag marked ₹1400 is sold at a 15% discount. What is its selling price? (a) ₹1385 (b) ₹1610 (c) ₹1190 (d) ₹210
  10. 10.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹390 (b) ₹1690 (c) ₹910 (d) ₹1270
  11. 11.A bag marked ₹220 is sold at a 50% discount. What is its selling price? (a) ₹330 (b) ₹111 (c) ₹110 (d) ₹170
  12. 12.What is 30% of 160? (a) 480 (b) 112 (c) 96 (d) 48
  13. 13.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 85%
  14. 14.What is 40% of 920? (a) 368 (b) 552 (c) 3680 (d) 736
  15. 15.What is 15% of 720? (a) 108 (b) 1080 (c) 612 (d) 216
  16. 16.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 5% (b) 48% (c) 10% (d) 6%
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 11% (b) 10% (c) 5% (d) 15%
  18. 18.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  19. 19.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 54% (b) 15% (c) 5% (d) 10%
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 40%
  21. 21.A bag marked ₹1140 is sold at a 40% discount. What is its selling price? (a) ₹456 (b) ₹1100 (c) ₹1596 (d) ₹684
  22. 22.A bag marked ₹1000 is sold at a 10% discount. What is its selling price? (a) ₹100 (b) ₹900 (c) ₹1100 (d) ₹990
  23. 23.A shopkeeper buys a toy for ₹860 and sells it for ₹731. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  24. 24.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹1150 (b) ₹690 (c) ₹230 (d) ₹895
  25. 25.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
  28. 28.What is 30% of 540? (a) 1620 (b) 324 (c) 378 (d) 162
  29. 29.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 76% (b) 10% (c) 15% (d) 5%
  30. 30.What is 15% of 160? (a) 240 (b) 136 (c) 48 (d) 24
  31. 31.What is 75% of 160? (a) 1200 (b) 240 (c) 120 (d) 40
  32. 32.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 48%
  33. 33.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 5% (b) 10% (c) 36% (d) 6%
  34. 34.What is 10% of 140? (a) 126 (b) 14 (c) 140 (d) 28
  35. 35.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹391 (b) ₹51 (c) ₹289 (d) ₹325
  36. 36.What is 40% of 340? (a) 1360 (b) 272 (c) 204 (d) 136
  37. 37.What is 50% of 180? (a) 91 (b) 90 (c) 900 (d) 180
  38. 38.What is 60% of 460? (a) 2760 (b) 552 (c) 184 (d) 276
  39. 39.A shopkeeper buys a toy for ₹240 and sells it for ₹300. What is his profit percent? (a) 60% (b) 30% (c) 25% (d) 20%
  40. 40.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 5% (b) 38% (c) 15% (d) 10%

Answer key

  1. 5%
  2. 15%
  3. 5%
  4. 15%
  5. 132
  6. ₹240
  7. 288
  8. 310
  9. ₹1190
  10. ₹910
  11. ₹110
  12. 48
  13. 25%
  14. 368
  15. 108
  16. 5%
  17. 10%
  18. 25%
  19. 10%
  20. 20%
  21. ₹684
  22. ₹900
  23. 15%
  24. ₹690
  25. 30%
  26. 15%
  27. 15%
  28. 162
  29. 10%
  30. 24
  31. 120
  32. 20%
  33. 5%
  34. 14
  35. ₹289
  36. 136
  37. 90
  38. 276
  39. 25%
  40. 10%

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