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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 604 · 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 ₹405. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  2. 2.A bag marked ₹1420 is sold at a 15% discount. What is its selling price? (a) ₹1405 (b) ₹1207 (c) ₹213 (d) ₹1633
  3. 3.What is 50% of 40? (a) 21 (b) 200 (c) 40 (d) 20
  4. 4.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹460 (b) ₹461 (c) ₹870 (d) ₹1380
  5. 5.What is 10% of 60? (a) 54 (b) 60 (c) 12 (d) 6
  6. 6.A shopkeeper buys a toy for ₹820 and sells it for ₹861. What is his profit percent? (a) 41% (b) 10% (c) 5% (d) 6%
  7. 7.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 25% (b) 45% (c) 30% (d) 20%
  8. 8.What is 20% of 280? (a) 224 (b) 56 (c) 560 (d) 112
  9. 9.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 20% (b) 15% (c) 39% (d) 10%
  10. 10.What is 5% of 260? (a) 247 (b) 130 (c) 26 (d) 13
  11. 11.What is 5% of 640? (a) 320 (b) 64 (c) 32 (d) 608
  12. 12.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  13. 13.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 84%
  14. 14.A bag marked ₹1280 is sold at a 30% discount. What is its selling price? (a) ₹1664 (b) ₹1250 (c) ₹896 (d) ₹384
  15. 15.What is 20% of 660? (a) 528 (b) 1320 (c) 264 (d) 132
  16. 16.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹264 (b) ₹850 (c) ₹616 (d) ₹1144
  17. 17.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  18. 18.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 25% (b) 26% (c) 20% (d) 30%
  19. 19.What is 75% of 160? (a) 1200 (b) 40 (c) 240 (d) 120
  20. 20.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 75% (b) 25% (c) 30% (d) 20%
  22. 22.A bag marked ₹380 is sold at a 25% discount. What is its selling price? (a) ₹355 (b) ₹285 (c) ₹95 (d) ₹475
  23. 23.What is 40% of 900? (a) 360 (b) 3600 (c) 540 (d) 720
  24. 24.A shopkeeper buys a toy for ₹240 and sells it for ₹336. What is his profit percent? (a) 40% (b) 45% (c) 96% (d) 35%
  25. 25.A bag marked ₹1080 is sold at a 40% discount. What is its selling price? (a) ₹1040 (b) ₹432 (c) ₹1512 (d) ₹648
  26. 26.What is 60% of 60? (a) 36 (b) 360 (c) 24 (d) 72
  27. 27.What is 20% of 440? (a) 352 (b) 176 (c) 88 (d) 880
  28. 28.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 93%
  29. 29.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 38% (b) 10% (c) 15% (d) 5%
  30. 30.What is 60% of 160? (a) 96 (b) 192 (c) 960 (d) 64
  31. 31.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  32. 32.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 62% (b) 10% (c) 5% (d) 15%
  33. 33.A bag marked ₹1540 is sold at a 25% discount. What is its selling price? (a) ₹385 (b) ₹1925 (c) ₹1515 (d) ₹1155
  34. 34.A bag marked ₹1160 is sold at a 50% discount. What is its selling price? (a) ₹1110 (b) ₹1740 (c) ₹580 (d) ₹581
  35. 35.A shopkeeper buys a toy for ₹540 and sells it for ₹324. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  36. 36.A bag marked ₹1940 is sold at a 20% discount. What is its selling price? (a) ₹1920 (b) ₹388 (c) ₹2328 (d) ₹1552
  37. 37.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹1440 (b) ₹2160 (c) ₹360 (d) ₹1780
  38. 38.A bag marked ₹860 is sold at a 30% discount. What is its selling price? (a) ₹830 (b) ₹1118 (c) ₹602 (d) ₹258
  39. 39.A bag marked ₹680 is sold at a 50% discount. What is its selling price? (a) ₹341 (b) ₹340 (c) ₹1020 (d) ₹630
  40. 40.What is 5% of 820? (a) 41 (b) 779 (c) 410 (d) 82

Answer key

  1. 25%
  2. ₹1207
  3. 20
  4. ₹460
  5. 6
  6. 5%
  7. 25%
  8. 56
  9. 15%
  10. 13
  11. 32
  12. 20%
  13. 15%
  14. ₹896
  15. 132
  16. ₹616
  17. 30%
  18. 25%
  19. 120
  20. 25%
  21. 25%
  22. ₹285
  23. 360
  24. 40%
  25. ₹648
  26. 36
  27. 88
  28. 15%
  29. 10%
  30. 96
  31. 30%
  32. 10%
  33. ₹1155
  34. ₹580
  35. 40%
  36. ₹1552
  37. ₹1440
  38. ₹602
  39. ₹340
  40. 41

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