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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 935 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A bag marked ₹1300 is sold at a 25% discount. What is its selling price? (a) ₹1275 (b) ₹975 (c) ₹325 (d) ₹1625
  2. 2.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  4. 4.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%
  5. 5.A bag marked ₹1540 is sold at a 40% discount. What is its selling price? (a) ₹616 (b) ₹924 (c) ₹1500 (d) ₹2156
  6. 6.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 16% (b) 10% (c) 20% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹960 and sells it for ₹768. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  9. 9.What is 40% of 360? (a) 144 (b) 216 (c) 1440 (d) 288
  10. 10.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 18%
  11. 11.What is 10% of 340? (a) 340 (b) 68 (c) 306 (d) 34
  12. 12.What is 10% of 400? (a) 400 (b) 40 (c) 80 (d) 360
  13. 13.A bag marked ₹480 is sold at a 10% discount. What is its selling price? (a) ₹528 (b) ₹48 (c) ₹432 (d) ₹470
  14. 14.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 48%
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 5% (b) 24% (c) 10% (d) 15%
  16. 16.A bag marked ₹1660 is sold at a 25% discount. What is its selling price? (a) ₹2075 (b) ₹1245 (c) ₹1635 (d) ₹415
  17. 17.What is 10% of 140? (a) 126 (b) 140 (c) 28 (d) 14
  18. 18.What is 15% of 300? (a) 45 (b) 255 (c) 450 (d) 90
  19. 19.What is 50% of 780? (a) 780 (b) 390 (c) 3900 (d) 391
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 48%
  21. 21.What is 50% of 600? (a) 301 (b) 3000 (c) 300 (d) 600
  22. 22.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  23. 23.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  24. 24.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 15% (b) 96% (c) 5% (d) 10%
  25. 25.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 35%
  26. 26.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹117 (b) ₹765 (c) ₹897 (d) ₹663
  27. 27.What is 5% of 920? (a) 92 (b) 874 (c) 46 (d) 460
  28. 28.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  29. 29.A shopkeeper buys a toy for ₹360 and sells it for ₹270. What is his loss percent? (a) 20% (b) 25% (c) 90% (d) 30%
  30. 30.What is 25% of 300? (a) 75 (b) 225 (c) 750 (d) 150
  31. 31.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  32. 32.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 54% (b) 5% (c) 10% (d) 15%
  33. 33.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 10% (b) 15% (c) 18% (d) 5%
  34. 34.What is 15% of 280? (a) 84 (b) 238 (c) 42 (d) 420
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 20% (b) 25% (c) 45% (d) 30%
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 22%
  37. 37.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  38. 38.What is 75% of 140? (a) 1050 (b) 35 (c) 210 (d) 105
  39. 39.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 10% (b) 6% (c) 38% (d) 5%
  40. 40.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 55% (b) 45% (c) 60% (d) 50%

Answer key

  1. ₹975
  2. 40%
  3. 20%
  4. 30%
  5. ₹924
  6. 15%
  7. 20%
  8. 40%
  9. 144
  10. 10%
  11. 34
  12. 40
  13. ₹432
  14. 20%
  15. 10%
  16. ₹1245
  17. 14
  18. 45
  19. 390
  20. 10%
  21. 300
  22. 40%
  23. 40%
  24. 10%
  25. 25%
  26. ₹663
  27. 46
  28. 25%
  29. 25%
  30. 75
  31. 40%
  32. 10%
  33. 10%
  34. 42
  35. 25%
  36. 5%
  37. 30%
  38. 105
  39. 5%
  40. 50%

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