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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 535 · 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 ₹600 is sold at a 15% discount. What is its selling price? (a) ₹510 (b) ₹90 (c) ₹690 (d) ₹585
  2. 2.What is 10% of 420? (a) 84 (b) 378 (c) 42 (d) 420
  3. 3.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 20%
  4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  5. 5.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  7. 7.What is 40% of 40? (a) 16 (b) 24 (c) 32 (d) 160
  8. 8.What is 5% of 420? (a) 42 (b) 399 (c) 210 (d) 21
  9. 9.What is 30% of 600? (a) 360 (b) 180 (c) 420 (d) 1800
  10. 10.What is 15% of 680? (a) 578 (b) 204 (c) 102 (d) 1020
  11. 11.A bag marked ₹1820 is sold at a 25% discount. What is its selling price? (a) ₹2275 (b) ₹455 (c) ₹1795 (d) ₹1365
  12. 12.What is 20% of 200? (a) 80 (b) 400 (c) 40 (d) 160
  13. 13.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 20% (c) 6% (d) 5%
  14. 14.A bag marked ₹2000 is sold at a 20% discount. What is its selling price? (a) ₹400 (b) ₹2400 (c) ₹1980 (d) ₹1600
  15. 15.A shopkeeper buys a toy for ₹380 and sells it for ₹418. What is his profit percent? (a) 5% (b) 15% (c) 38% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 15% (b) 20% (c) 16% (d) 10%
  17. 17.What is 15% of 840? (a) 126 (b) 252 (c) 714 (d) 1260
  18. 18.What is 10% of 800? (a) 800 (b) 720 (c) 160 (d) 80
  19. 19.A shopkeeper buys a toy for ₹460 and sells it for ₹322. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  20. 20.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 86%
  21. 21.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  22. 22.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹64 (b) ₹384 (c) ₹256 (d) ₹300
  23. 23.A shopkeeper buys a toy for ₹460 and sells it for ₹598. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  24. 24.What is 40% of 1000? (a) 600 (b) 800 (c) 400 (d) 4000
  25. 25.What is 60% of 320? (a) 192 (b) 1920 (c) 384 (d) 128
  26. 26.What is 75% of 140? (a) 1050 (b) 35 (c) 210 (d) 105
  27. 27.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 10% (b) 16% (c) 15% (d) 20%
  28. 28.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 36%
  29. 29.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 6% (b) 10% (c) 48% (d) 5%
  31. 31.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  32. 32.What is 5% of 380? (a) 361 (b) 190 (c) 38 (d) 19
  33. 33.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 25% (b) 84% (c) 30% (d) 35%
  34. 34.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 5% (b) 10% (c) 74% (d) 15%
  35. 35.What is 30% of 300? (a) 90 (b) 180 (c) 900 (d) 210
  36. 36.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  37. 37.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹220 and sells it for ₹275. What is his profit percent? (a) 55% (b) 30% (c) 20% (d) 25%
  39. 39.A bag marked ₹1120 is sold at a 25% discount. What is its selling price? (a) ₹1400 (b) ₹840 (c) ₹280 (d) ₹1095
  40. 40.What is 50% of 760? (a) 380 (b) 3800 (c) 381 (d) 760

Answer key

  1. ₹510
  2. 42
  3. 5%
  4. 50%
  5. 40%
  6. 30%
  7. 16
  8. 21
  9. 180
  10. 102
  11. ₹1365
  12. 40
  13. 5%
  14. ₹1600
  15. 10%
  16. 15%
  17. 126
  18. 80
  19. 30%
  20. 10%
  21. 30%
  22. ₹256
  23. 30%
  24. 400
  25. 192
  26. 105
  27. 15%
  28. 5%
  29. 25%
  30. 5%
  31. 40%
  32. 19
  33. 30%
  34. 10%
  35. 90
  36. 30%
  37. 25%
  38. 25%
  39. ₹840
  40. 380

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