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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 700 · 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 ₹340 is sold at a 50% discount. What is its selling price? (a) ₹290 (b) ₹510 (c) ₹170 (d) ₹171
  2. 2.What is 15% of 820? (a) 1230 (b) 246 (c) 123 (d) 697
  3. 3.What is 25% of 860? (a) 2150 (b) 645 (c) 430 (d) 215
  4. 4.A shopkeeper buys a toy for ₹100 and sells it for ₹120. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹880 and sells it for ₹660. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  6. 6.What is 15% of 120? (a) 180 (b) 102 (c) 18 (d) 36
  7. 7.A bag marked ₹980 is sold at a 15% discount. What is its selling price? (a) ₹147 (b) ₹965 (c) ₹833 (d) ₹1127
  8. 8.A shopkeeper buys a toy for ₹880 and sells it for ₹1056. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  9. 9.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 38% (b) 10% (c) 6% (d) 5%
  10. 10.What is 5% of 100? (a) 5 (b) 10 (c) 50 (d) 95
  11. 11.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 10% (b) 45% (c) 6% (d) 5%
  12. 12.What is 5% of 260? (a) 130 (b) 13 (c) 26 (d) 247
  13. 13.What is 40% of 440? (a) 1760 (b) 176 (c) 264 (d) 352
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 10% (b) 48% (c) 5% (d) 6%
  16. 16.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 90% (b) 35% (c) 30% (d) 25%
  17. 17.A bag marked ₹200 is sold at a 15% discount. What is its selling price? (a) ₹170 (b) ₹230 (c) ₹30 (d) ₹185
  18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 20% (b) 30% (c) 10% (d) 15%
  19. 19.What is 15% of 620? (a) 930 (b) 93 (c) 527 (d) 186
  20. 20.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 74%
  21. 21.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹80 (b) ₹400 (c) ₹295 (d) ₹240
  22. 22.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  23. 23.What is 50% of 520? (a) 261 (b) 260 (c) 2600 (d) 520
  24. 24.What is 30% of 300? (a) 180 (b) 90 (c) 210 (d) 900
  25. 25.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹575 (b) ₹485 (c) ₹425 (d) ₹75
  26. 26.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 25%
  27. 27.What is 60% of 180? (a) 108 (b) 1080 (c) 72 (d) 216
  28. 28.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹72 (b) ₹465 (c) ₹408 (d) ₹552
  29. 29.What is 5% of 340? (a) 34 (b) 170 (c) 17 (d) 323
  30. 30.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  31. 31.A bag marked ₹820 is sold at a 20% discount. What is its selling price? (a) ₹800 (b) ₹164 (c) ₹984 (d) ₹656
  32. 32.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  33. 33.A bag marked ₹660 is sold at a 30% discount. What is its selling price? (a) ₹858 (b) ₹630 (c) ₹462 (d) ₹198
  34. 34.What is 60% of 500? (a) 300 (b) 3000 (c) 600 (d) 200
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹153. What is his loss percent? (a) 27% (b) 15% (c) 20% (d) 10%
  36. 36.A bag marked ₹1360 is sold at a 20% discount. What is its selling price? (a) ₹1088 (b) ₹1340 (c) ₹272 (d) ₹1632
  37. 37.What is 20% of 700? (a) 280 (b) 1400 (c) 140 (d) 560
  38. 38.A shopkeeper buys a toy for ₹340 and sells it for ₹289. What is his loss percent? (a) 20% (b) 15% (c) 51% (d) 10%
  39. 39.What is 15% of 1000? (a) 300 (b) 850 (c) 1500 (d) 150
  40. 40.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 6% (b) 14% (c) 10% (d) 5%

Answer key

  1. ₹170
  2. 123
  3. 215
  4. 20%
  5. 25%
  6. 18
  7. ₹833
  8. 20%
  9. 5%
  10. 5
  11. 5%
  12. 13
  13. 176
  14. 40%
  15. 5%
  16. 30%
  17. ₹170
  18. 15%
  19. 93
  20. 10%
  21. ₹240
  22. 25%
  23. 260
  24. 90
  25. ₹425
  26. 5%
  27. 108
  28. ₹408
  29. 17
  30. 15%
  31. ₹656
  32. 30%
  33. ₹462
  34. 300
  35. 15%
  36. ₹1088
  37. 140
  38. 15%
  39. 150
  40. 5%

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