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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 923 · 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 ₹540 and sells it for ₹432. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  2. 2.A bag marked ₹1240 is sold at a 20% discount. What is its selling price? (a) ₹1488 (b) ₹248 (c) ₹992 (d) ₹1220
  3. 3.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 35% (b) 30% (c) 31% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 24%
  5. 5.A shopkeeper buys a toy for ₹980 and sells it for ₹735. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  6. 6.What is 40% of 500? (a) 2000 (b) 200 (c) 300 (d) 400
  7. 7.A shopkeeper buys a toy for ₹540 and sells it for ₹756. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  8. 8.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
  9. 9.A bag marked ₹840 is sold at a 50% discount. What is its selling price? (a) ₹1260 (b) ₹421 (c) ₹420 (d) ₹790
  10. 10.A bag marked ₹1560 is sold at a 15% discount. What is its selling price? (a) ₹234 (b) ₹1545 (c) ₹1326 (d) ₹1794
  11. 11.A bag marked ₹420 is sold at a 50% discount. What is its selling price? (a) ₹370 (b) ₹210 (c) ₹630 (d) ₹211
  12. 12.A bag marked ₹1260 is sold at a 10% discount. What is its selling price? (a) ₹1386 (b) ₹1250 (c) ₹1134 (d) ₹126
  13. 13.A bag marked ₹1580 is sold at a 25% discount. What is its selling price? (a) ₹1555 (b) ₹1185 (c) ₹395 (d) ₹1975
  14. 14.What is 25% of 180? (a) 45 (b) 450 (c) 135 (d) 90
  15. 15.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%
  16. 16.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
  17. 17.A shopkeeper buys a toy for ₹160 and sells it for ₹240. What is his profit percent? (a) 55% (b) 80% (c) 50% (d) 45%
  18. 18.What is 25% of 280? (a) 70 (b) 140 (c) 700 (d) 210
  19. 19.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  20. 20.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹500 (b) ₹100 (c) ₹300 (d) ₹375
  21. 21.A shopkeeper buys a toy for ₹880 and sells it for ₹748. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹440 and sells it for ₹330. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  23. 23.A bag marked ₹1700 is sold at a 50% discount. What is its selling price? (a) ₹850 (b) ₹2550 (c) ₹851 (d) ₹1650
  24. 24.A bag marked ₹980 is sold at a 50% discount. What is its selling price? (a) ₹490 (b) ₹930 (c) ₹491 (d) ₹1470
  25. 25.A bag marked ₹680 is sold at a 20% discount. What is its selling price? (a) ₹660 (b) ₹816 (c) ₹136 (d) ₹544
  26. 26.A bag marked ₹800 is sold at a 15% discount. What is its selling price? (a) ₹120 (b) ₹785 (c) ₹680 (d) ₹920
  27. 27.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 25% (c) 20% (d) 30%
  28. 28.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 90%
  29. 29.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 68% (b) 25% (c) 15% (d) 20%
  30. 30.A bag marked ₹1240 is sold at a 30% discount. What is its selling price? (a) ₹372 (b) ₹868 (c) ₹1210 (d) ₹1612
  31. 31.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 6% (b) 13% (c) 10% (d) 5%
  32. 32.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  33. 33.What is 10% of 560? (a) 560 (b) 504 (c) 112 (d) 56
  34. 34.What is 10% of 200? (a) 20 (b) 40 (c) 200 (d) 180
  35. 35.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 6% (b) 26% (c) 5% (d) 10%
  36. 36.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
  37. 37.What is 20% of 220? (a) 88 (b) 176 (c) 440 (d) 44
  38. 38.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  39. 39.What is 50% of 920? (a) 461 (b) 460 (c) 4600 (d) 920
  40. 40.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 80%

Answer key

  1. 20%
  2. ₹992
  3. 30%
  4. 20%
  5. 25%
  6. 200
  7. 40%
  8. 20%
  9. ₹420
  10. ₹1326
  11. ₹210
  12. ₹1134
  13. ₹1185
  14. 45
  15. 5%
  16. 15%
  17. 50%
  18. 70
  19. 25%
  20. ₹300
  21. 15%
  22. 25%
  23. ₹850
  24. ₹490
  25. ₹544
  26. ₹680
  27. 25%
  28. 25%
  29. 20%
  30. ₹868
  31. 5%
  32. 30%
  33. 56
  34. 20
  35. 5%
  36. 15%
  37. 44
  38. 30%
  39. 460
  40. 20%

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