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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 133 · 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 ₹840 is sold at a 10% discount. What is its selling price? (a) ₹84 (b) ₹924 (c) ₹756 (d) ₹830
  2. 2.A shopkeeper buys a toy for ₹380 and sells it for ₹494. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  3. 3.What is 15% of 300? (a) 45 (b) 450 (c) 255 (d) 90
  4. 4.A shopkeeper buys a toy for ₹100 and sells it for ₹80. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  5. 5.A shopkeeper buys a toy for ₹260 and sells it for ₹221. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 39%
  6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 40%
  7. 7.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 15% (b) 5% (c) 62% (d) 10%
  8. 8.What is 10% of 280? (a) 252 (b) 28 (c) 56 (d) 280
  9. 9.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 20% (b) 25% (c) 40% (d) 30%
  10. 10.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  11. 11.What is 30% of 540? (a) 1620 (b) 162 (c) 324 (d) 378
  12. 12.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  13. 13.A bag marked ₹360 is sold at a 50% discount. What is its selling price? (a) ₹180 (b) ₹540 (c) ₹181 (d) ₹310
  14. 14.What is 60% of 520? (a) 3120 (b) 312 (c) 208 (d) 624
  15. 15.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 5% (b) 50% (c) 15% (d) 10%
  16. 16.A bag marked ₹1100 is sold at a 40% discount. What is its selling price? (a) ₹660 (b) ₹1540 (c) ₹1060 (d) ₹440
  17. 17.What is 20% of 980? (a) 196 (b) 784 (c) 1960 (d) 392
  18. 18.A bag marked ₹880 is sold at a 25% discount. What is its selling price? (a) ₹660 (b) ₹1100 (c) ₹855 (d) ₹220
  19. 19.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 96% (b) 20% (c) 10% (d) 15%
  20. 20.A shopkeeper buys a toy for ₹720 and sells it for ₹828. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 16%
  21. 21.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  22. 22.A bag marked ₹1280 is sold at a 30% discount. What is its selling price? (a) ₹1664 (b) ₹896 (c) ₹384 (d) ₹1250
  23. 23.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%
  24. 24.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 20% (b) 15% (c) 90% (d) 10%
  25. 25.What is 25% of 760? (a) 570 (b) 380 (c) 1900 (d) 190
  26. 26.What is 40% of 400? (a) 320 (b) 160 (c) 240 (d) 1600
  27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  28. 28.What is 40% of 220? (a) 132 (b) 880 (c) 88 (d) 176
  29. 29.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  30. 30.A shopkeeper buys a toy for ₹200 and sells it for ₹280. What is his profit percent? (a) 40% (b) 80% (c) 35% (d) 45%
  31. 31.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 35% (b) 6% (c) 10% (d) 5%
  32. 32.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 15% (b) 16% (c) 20% (d) 10%
  33. 33.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 34%
  34. 34.A shopkeeper buys a toy for ₹440 and sells it for ₹572. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  35. 35.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 16% (b) 15% (c) 20% (d) 10%
  36. 36.A bag marked ₹1620 is sold at a 10% discount. What is its selling price? (a) ₹1458 (b) ₹1610 (c) ₹162 (d) ₹1782
  37. 37.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  38. 38.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  39. 39.What is 15% of 820? (a) 697 (b) 246 (c) 1230 (d) 123
  40. 40.What is 30% of 640? (a) 192 (b) 384 (c) 1920 (d) 448

Answer key

  1. ₹756
  2. 30%
  3. 45
  4. 20%
  5. 15%
  6. 20%
  7. 10%
  8. 28
  9. 25%
  10. 25%
  11. 162
  12. 30%
  13. ₹180
  14. 312
  15. 10%
  16. ₹660
  17. 196
  18. ₹660
  19. 15%
  20. 15%
  21. 15%
  22. ₹896
  23. 15%
  24. 15%
  25. 190
  26. 160
  27. 50%
  28. 88
  29. 30%
  30. 40%
  31. 5%
  32. 15%
  33. 5%
  34. 30%
  35. 15%
  36. ₹1458
  37. 25%
  38. 50%
  39. 123
  40. 192

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