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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 346 · 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 ₹1000 and sells it for ₹600. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  2. 2.A shopkeeper buys a toy for ₹740 and sells it for ₹962. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  3. 3.What is 25% of 500? (a) 1250 (b) 250 (c) 125 (d) 375
  4. 4.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 10% (b) 17% (c) 5% (d) 6%
  5. 5.What is 75% of 420? (a) 105 (b) 3150 (c) 630 (d) 315
  6. 6.What is 30% of 900? (a) 270 (b) 630 (c) 2700 (d) 540
  7. 7.A bag marked ₹1840 is sold at a 25% discount. What is its selling price? (a) ₹2300 (b) ₹1815 (c) ₹460 (d) ₹1380
  8. 8.A bag marked ₹1760 is sold at a 10% discount. What is its selling price? (a) ₹176 (b) ₹1750 (c) ₹1584 (d) ₹1936
  9. 9.What is 15% of 700? (a) 595 (b) 210 (c) 105 (d) 1050
  10. 10.What is 20% of 840? (a) 168 (b) 1680 (c) 672 (d) 336
  11. 11.A bag marked ₹1840 is sold at a 20% discount. What is its selling price? (a) ₹1820 (b) ₹1472 (c) ₹368 (d) ₹2208
  12. 12.A shopkeeper buys a toy for ₹600 and sells it for ₹360. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  13. 13.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 42% (b) 10% (c) 5% (d) 15%
  14. 14.What is 10% of 380? (a) 380 (b) 342 (c) 38 (d) 76
  15. 15.A shopkeeper buys a toy for ₹440 and sells it for ₹352. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 88%
  16. 16.A bag marked ₹360 is sold at a 25% discount. What is its selling price? (a) ₹335 (b) ₹270 (c) ₹90 (d) ₹450
  17. 17.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  18. 18.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 5% (b) 15% (c) 66% (d) 10%
  19. 19.What is 50% of 860? (a) 4300 (b) 430 (c) 431 (d) 860
  20. 20.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 40%
  21. 21.What is 30% of 800? (a) 560 (b) 2400 (c) 480 (d) 240
  22. 22.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  23. 23.What is 50% of 1000? (a) 1000 (b) 5000 (c) 501 (d) 500
  24. 24.What is 10% of 60? (a) 6 (b) 60 (c) 54 (d) 12
  25. 25.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 30% (b) 20% (c) 50% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 55% (b) 60% (c) 50% (d) 45%
  27. 27.What is 20% of 160? (a) 320 (b) 64 (c) 32 (d) 128
  28. 28.A shopkeeper buys a toy for ₹540 and sells it for ₹675. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  29. 29.What is 50% of 660? (a) 660 (b) 3300 (c) 330 (d) 331
  30. 30.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹960 and sells it for ₹1440. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  32. 32.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 10% (b) 36% (c) 5% (d) 15%
  33. 33.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  34. 34.A bag marked ₹1440 is sold at a 10% discount. What is its selling price? (a) ₹1296 (b) ₹1430 (c) ₹1584 (d) ₹144
  35. 35.What is 5% of 680? (a) 34 (b) 340 (c) 646 (d) 68
  36. 36.What is 10% of 360? (a) 360 (b) 324 (c) 36 (d) 72
  37. 37.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹685 (b) ₹805 (c) ₹595 (d) ₹105
  38. 38.A shopkeeper buys a toy for ₹720 and sells it for ₹792. What is his profit percent? (a) 72% (b) 5% (c) 15% (d) 10%
  39. 39.What is 75% of 560? (a) 420 (b) 4200 (c) 840 (d) 140
  40. 40.What is 60% of 140? (a) 840 (b) 84 (c) 56 (d) 168

Answer key

  1. 40%
  2. 30%
  3. 125
  4. 5%
  5. 315
  6. 270
  7. ₹1380
  8. ₹1584
  9. 105
  10. 168
  11. ₹1472
  12. 40%
  13. 10%
  14. 38
  15. 20%
  16. ₹270
  17. 40%
  18. 10%
  19. 430
  20. 5%
  21. 240
  22. 30%
  23. 500
  24. 6
  25. 25%
  26. 50%
  27. 32
  28. 25%
  29. 330
  30. 5%
  31. 50%
  32. 10%
  33. 30%
  34. ₹1296
  35. 34
  36. 36
  37. ₹595
  38. 10%
  39. 420
  40. 84

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