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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 832 · 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 ₹320 is sold at a 50% discount. What is its selling price? (a) ₹480 (b) ₹160 (c) ₹270 (d) ₹161
  2. 2.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  3. 3.What is 10% of 260? (a) 260 (b) 52 (c) 234 (d) 26
  4. 4.A bag marked ₹740 is sold at a 20% discount. What is its selling price? (a) ₹148 (b) ₹720 (c) ₹888 (d) ₹592
  5. 5.What is 5% of 960? (a) 96 (b) 48 (c) 912 (d) 480
  6. 6.What is 75% of 960? (a) 240 (b) 7200 (c) 1440 (d) 720
  7. 7.What is 20% of 180? (a) 72 (b) 36 (c) 144 (d) 360
  8. 8.A bag marked ₹880 is sold at a 50% discount. What is its selling price? (a) ₹441 (b) ₹1320 (c) ₹440 (d) ₹830
  9. 9.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
  11. 11.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  12. 12.What is 60% of 760? (a) 456 (b) 912 (c) 304 (d) 4560
  13. 13.A shopkeeper buys a toy for ₹660 and sells it for ₹627. What is his loss percent? (a) 33% (b) 6% (c) 5% (d) 10%
  14. 14.What is 50% of 220? (a) 110 (b) 220 (c) 111 (d) 1100
  15. 15.A shopkeeper buys a toy for ₹220 and sells it for ₹154. What is his loss percent? (a) 30% (b) 35% (c) 66% (d) 25%
  16. 16.What is 5% of 160? (a) 8 (b) 152 (c) 16 (d) 80
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 10% (b) 6% (c) 8% (d) 5%
  19. 19.A bag marked ₹1560 is sold at a 40% discount. What is its selling price? (a) ₹1520 (b) ₹936 (c) ₹2184 (d) ₹624
  20. 20.What is 75% of 260? (a) 195 (b) 390 (c) 1950 (d) 65
  21. 21.What is 60% of 360? (a) 432 (b) 216 (c) 144 (d) 2160
  22. 22.A bag marked ₹1200 is sold at a 25% discount. What is its selling price? (a) ₹300 (b) ₹1500 (c) ₹900 (d) ₹1175
  23. 23.A bag marked ₹1620 is sold at a 40% discount. What is its selling price? (a) ₹648 (b) ₹972 (c) ₹1580 (d) ₹2268
  24. 24.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 20% (b) 10% (c) 30% (d) 15%
  25. 25.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  26. 26.What is 75% of 540? (a) 810 (b) 135 (c) 4050 (d) 405
  27. 27.What is 20% of 460? (a) 368 (b) 920 (c) 184 (d) 92
  28. 28.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 24%
  29. 29.A bag marked ₹1740 is sold at a 20% discount. What is its selling price? (a) ₹1392 (b) ₹2088 (c) ₹348 (d) ₹1720
  30. 30.What is 60% of 940? (a) 1128 (b) 564 (c) 376 (d) 5640
  31. 31.What is 60% of 900? (a) 1080 (b) 360 (c) 540 (d) 5400
  32. 32.A bag marked ₹280 is sold at a 40% discount. What is its selling price? (a) ₹240 (b) ₹168 (c) ₹112 (d) ₹392
  33. 33.What is 25% of 340? (a) 850 (b) 255 (c) 170 (d) 85
  34. 34.What is 20% of 100? (a) 200 (b) 80 (c) 40 (d) 20
  35. 35.A bag marked ₹780 is sold at a 50% discount. What is its selling price? (a) ₹1170 (b) ₹391 (c) ₹730 (d) ₹390
  36. 36.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 95%
  37. 37.What is 40% of 60? (a) 36 (b) 48 (c) 24 (d) 240
  38. 38.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 28% (b) 25% (c) 20% (d) 15%
  39. 39.A bag marked ₹940 is sold at a 15% discount. What is its selling price? (a) ₹799 (b) ₹141 (c) ₹925 (d) ₹1081
  40. 40.A shopkeeper buys a toy for ₹420 and sells it for ₹630. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%

Answer key

  1. ₹160
  2. 25%
  3. 26
  4. ₹592
  5. 48
  6. 720
  7. 36
  8. ₹440
  9. 25%
  10. 15%
  11. 30%
  12. 456
  13. 5%
  14. 110
  15. 30%
  16. 8
  17. 30%
  18. 5%
  19. ₹936
  20. 195
  21. 216
  22. ₹900
  23. ₹972
  24. 15%
  25. 30%
  26. 405
  27. 92
  28. 5%
  29. ₹1392
  30. 564
  31. 540
  32. ₹168
  33. 85
  34. 20
  35. ₹390
  36. 25%
  37. 24
  38. 20%
  39. ₹799
  40. 50%

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