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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 975 · 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 ₹120 and sells it for ₹114. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 4%
  2. 2.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  3. 3.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 76% (b) 15% (c) 20% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹880 and sells it for ₹1012. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
  5. 5.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 20% (b) 30% (c) 50% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 27%
  7. 7.What is 25% of 300? (a) 150 (b) 225 (c) 750 (d) 75
  8. 8.What is 5% of 100? (a) 5 (b) 50 (c) 95 (d) 10
  9. 9.A shopkeeper buys a toy for ₹140 and sells it for ₹182. What is his profit percent? (a) 30% (b) 42% (c) 35% (d) 25%
  10. 10.A bag marked ₹940 is sold at a 15% discount. What is its selling price? (a) ₹1081 (b) ₹799 (c) ₹141 (d) ₹925
  11. 11.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 15% (b) 81% (c) 10% (d) 20%
  12. 12.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹1540 (b) ₹1248 (c) ₹1872 (d) ₹312
  13. 13.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 15% (b) 45% (c) 20% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹320 and sells it for ₹480. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  15. 15.A bag marked ₹1640 is sold at a 20% discount. What is its selling price? (a) ₹328 (b) ₹1968 (c) ₹1620 (d) ₹1312
  16. 16.A bag marked ₹1900 is sold at a 30% discount. What is its selling price? (a) ₹1870 (b) ₹570 (c) ₹2470 (d) ₹1330
  17. 17.A shopkeeper buys a toy for ₹760 and sells it for ₹988. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
  18. 18.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 10% (b) 46% (c) 5% (d) 6%
  19. 19.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  20. 20.A shopkeeper buys a toy for ₹680 and sells it for ₹884. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  22. 22.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹1650 (b) ₹550 (c) ₹551 (d) ₹1050
  23. 23.What is 60% of 700? (a) 280 (b) 840 (c) 4200 (d) 420
  24. 24.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 10% (b) 6% (c) 30% (d) 5%
  25. 25.What is 10% of 140? (a) 28 (b) 140 (c) 14 (d) 126
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 45% (b) 64% (c) 35% (d) 40%
  27. 27.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  28. 28.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 6% (c) 20% (d) 5%
  29. 29.A bag marked ₹1420 is sold at a 40% discount. What is its selling price? (a) ₹568 (b) ₹1988 (c) ₹852 (d) ₹1380
  30. 30.What is 30% of 920? (a) 644 (b) 552 (c) 276 (d) 2760
  31. 31.What is 5% of 580? (a) 290 (b) 29 (c) 58 (d) 551
  32. 32.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 9% (b) 6% (c) 10% (d) 5%
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 20% (b) 10% (c) 5% (d) 15%
  34. 34.What is 60% of 160? (a) 96 (b) 960 (c) 64 (d) 192
  35. 35.A bag marked ₹1820 is sold at a 10% discount. What is its selling price? (a) ₹1810 (b) ₹1638 (c) ₹2002 (d) ₹182
  36. 36.What is 5% of 960? (a) 96 (b) 912 (c) 480 (d) 48
  37. 37.A shopkeeper buys a toy for ₹560 and sells it for ₹448. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  38. 38.What is 50% of 120? (a) 120 (b) 60 (c) 61 (d) 600
  39. 39.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 25% (b) 72% (c) 30% (d) 35%
  40. 40.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 10% (b) 5% (c) 12% (d) 6%

Answer key

  1. 5%
  2. 20%
  3. 20%
  4. 15%
  5. 25%
  6. 5%
  7. 75
  8. 5
  9. 30%
  10. ₹799
  11. 15%
  12. ₹1248
  13. 15%
  14. 50%
  15. ₹1312
  16. ₹1330
  17. 30%
  18. 5%
  19. 50%
  20. 30%
  21. 30%
  22. ₹550
  23. 420
  24. 5%
  25. 14
  26. 40%
  27. 40%
  28. 5%
  29. ₹852
  30. 276
  31. 29
  32. 5%
  33. 10%
  34. 96
  35. ₹1638
  36. 48
  37. 20%
  38. 60
  39. 30%
  40. 5%

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