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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 430 · 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 ₹440 and sells it for ₹616. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  2. 2.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  3. 3.What is 10% of 180? (a) 18 (b) 162 (c) 180 (d) 36
  4. 4.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  5. 5.What is 15% of 800? (a) 120 (b) 240 (c) 1200 (d) 680
  6. 6.What is 75% of 720? (a) 5400 (b) 1080 (c) 180 (d) 540
  7. 7.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 5% (b) 14% (c) 10% (d) 6%
  8. 8.A bag marked ₹1940 is sold at a 25% discount. What is its selling price? (a) ₹485 (b) ₹1455 (c) ₹1915 (d) ₹2425
  9. 9.What is 40% of 880? (a) 528 (b) 704 (c) 352 (d) 3520
  10. 10.A bag marked ₹1080 is sold at a 10% discount. What is its selling price? (a) ₹1188 (b) ₹1070 (c) ₹108 (d) ₹972
  11. 11.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 25% (c) 30% (d) 35%
  12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹720. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  13. 13.What is 50% of 340? (a) 171 (b) 170 (c) 1700 (d) 340
  14. 14.What is 30% of 540? (a) 324 (b) 162 (c) 378 (d) 1620
  15. 15.A bag marked ₹940 is sold at a 10% discount. What is its selling price? (a) ₹1034 (b) ₹846 (c) ₹94 (d) ₹930
  16. 16.What is 15% of 260? (a) 221 (b) 78 (c) 39 (d) 390
  17. 17.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 21%
  18. 18.A shopkeeper buys a toy for ₹220 and sells it for ₹176. What is his loss percent? (a) 25% (b) 20% (c) 44% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  20. 20.A bag marked ₹1460 is sold at a 20% discount. What is its selling price? (a) ₹1168 (b) ₹292 (c) ₹1752 (d) ₹1440
  21. 21.A shopkeeper buys a toy for ₹860 and sells it for ₹1032. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  22. 22.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 10% (b) 20% (c) 48% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 72%
  24. 24.What is 40% of 960? (a) 576 (b) 384 (c) 768 (d) 3840
  25. 25.What is 60% of 1000? (a) 6000 (b) 400 (c) 1200 (d) 600
  26. 26.A shopkeeper buys a toy for ₹900 and sells it for ₹1170. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  27. 27.A bag marked ₹640 is sold at a 15% discount. What is its selling price? (a) ₹544 (b) ₹625 (c) ₹96 (d) ₹736
  28. 28.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹989 (b) ₹731 (c) ₹129 (d) ₹845
  29. 29.A bag marked ₹1060 is sold at a 40% discount. What is its selling price? (a) ₹636 (b) ₹1484 (c) ₹1020 (d) ₹424
  30. 30.What is 5% of 980? (a) 490 (b) 931 (c) 49 (d) 98
  31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 21% (b) 10% (c) 15% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 15% (b) 5% (c) 24% (d) 10%
  33. 33.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 25% (b) 31% (c) 30% (d) 35%
  34. 34.A shopkeeper buys a toy for ₹960 and sells it for ₹1248. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  35. 35.What is 20% of 820? (a) 656 (b) 328 (c) 1640 (d) 164
  36. 36.A bag marked ₹1060 is sold at a 25% discount. What is its selling price? (a) ₹1035 (b) ₹795 (c) ₹1325 (d) ₹265
  37. 37.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 60% (b) 15% (c) 25% (d) 20%
  38. 38.What is 5% of 580? (a) 551 (b) 290 (c) 58 (d) 29
  39. 39.What is 20% of 100? (a) 80 (b) 200 (c) 20 (d) 40
  40. 40.What is 25% of 460? (a) 345 (b) 230 (c) 1150 (d) 115

Answer key

  1. 40%
  2. 40%
  3. 18
  4. 50%
  5. 120
  6. 540
  7. 5%
  8. ₹1455
  9. 352
  10. ₹972
  11. 30%
  12. 50%
  13. 170
  14. 162
  15. ₹846
  16. 39
  17. 20%
  18. 20%
  19. 20%
  20. ₹1168
  21. 20%
  22. 15%
  23. 40%
  24. 384
  25. 600
  26. 30%
  27. ₹544
  28. ₹731
  29. ₹636
  30. 49
  31. 15%
  32. 10%
  33. 30%
  34. 30%
  35. 164
  36. ₹795
  37. 20%
  38. 29
  39. 20
  40. 115

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