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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 406 · 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 ₹940 and sells it for ₹1316. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  2. 2.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 76%
  3. 3.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 39% (b) 15% (c) 20% (d) 10%
  4. 4.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 25% (b) 20% (c) 52% (d) 15%
  5. 5.What is 30% of 100? (a) 30 (b) 300 (c) 60 (d) 70
  6. 6.What is 15% of 540? (a) 81 (b) 459 (c) 810 (d) 162
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 16% (b) 6% (c) 10% (d) 5%
  8. 8.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  9. 9.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 8% (b) 6% (c) 5% (d) 10%
  10. 10.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 10% (b) 13% (c) 6% (d) 5%
  11. 11.What is 5% of 900? (a) 450 (b) 45 (c) 90 (d) 855
  12. 12.A bag marked ₹500 is sold at a 25% discount. What is its selling price? (a) ₹125 (b) ₹475 (c) ₹625 (d) ₹375
  13. 13.What is 40% of 420? (a) 336 (b) 168 (c) 1680 (d) 252
  14. 14.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 6% (b) 10% (c) 17% (d) 5%
  15. 15.A bag marked ₹1700 is sold at a 50% discount. What is its selling price? (a) ₹1650 (b) ₹850 (c) ₹2550 (d) ₹851
  16. 16.What is 40% of 300? (a) 180 (b) 1200 (c) 240 (d) 120
  17. 17.A shopkeeper buys a toy for ₹620 and sells it for ₹372. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  19. 19.What is 15% of 180? (a) 54 (b) 153 (c) 270 (d) 27
  20. 20.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹1479 (b) ₹1725 (c) ₹2001 (d) ₹261
  21. 21.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 5% (b) 84% (c) 15% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹480 and sells it for ₹720. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  23. 23.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹194 (b) ₹2134 (c) ₹1930 (d) ₹1746
  24. 24.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 26% (b) 6% (c) 5% (d) 10%
  25. 25.What is 50% of 120? (a) 60 (b) 61 (c) 120 (d) 600
  26. 26.What is 5% of 1000? (a) 100 (b) 500 (c) 950 (d) 50
  27. 27.What is 15% of 980? (a) 147 (b) 833 (c) 1470 (d) 294
  28. 28.A bag marked ₹1980 is sold at a 20% discount. What is its selling price? (a) ₹1960 (b) ₹1584 (c) ₹396 (d) ₹2376
  29. 29.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 15% (b) 10% (c) 50% (d) 5%
  30. 30.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 45% (b) 35% (c) 88% (d) 40%
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 15% (b) 20% (c) 81% (d) 10%
  32. 32.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹408 (b) ₹552 (c) ₹465 (d) ₹72
  33. 33.What is 75% of 540? (a) 810 (b) 4050 (c) 135 (d) 405
  34. 34.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 24%
  35. 35.What is 10% of 840? (a) 756 (b) 84 (c) 168 (d) 840
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹264. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  37. 37.What is 50% of 580? (a) 290 (b) 580 (c) 291 (d) 2900
  38. 38.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 5% (b) 66% (c) 10% (d) 15%
  39. 39.What is 20% of 400? (a) 320 (b) 800 (c) 80 (d) 160
  40. 40.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%

Answer key

  1. 40%
  2. 20%
  3. 15%
  4. 20%
  5. 30
  6. 81
  7. 5%
  8. 25%
  9. 5%
  10. 5%
  11. 45
  12. ₹375
  13. 168
  14. 5%
  15. ₹850
  16. 120
  17. 40%
  18. 40%
  19. 27
  20. ₹1479
  21. 10%
  22. 50%
  23. ₹1746
  24. 5%
  25. 60
  26. 50
  27. 147
  28. ₹1584
  29. 10%
  30. 40%
  31. 15%
  32. ₹408
  33. 405
  34. 15%
  35. 84
  36. 40%
  37. 290
  38. 10%
  39. 80
  40. 15%

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