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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 756 · 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 ₹920 and sells it for ₹736. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  2. 2.What is 20% of 480? (a) 384 (b) 192 (c) 960 (d) 96
  3. 3.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 6% (c) 20% (d) 5%
  4. 4.A bag marked ₹1620 is sold at a 10% discount. What is its selling price? (a) ₹1610 (b) ₹1782 (c) ₹1458 (d) ₹162
  5. 5.What is 50% of 520? (a) 261 (b) 260 (c) 2600 (d) 520
  6. 6.A shopkeeper buys a toy for ₹780 and sells it for ₹819. What is his profit percent? (a) 39% (b) 10% (c) 5% (d) 6%
  7. 7.What is 25% of 1000? (a) 2500 (b) 500 (c) 750 (d) 250
  8. 8.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  9. 9.What is 40% of 680? (a) 408 (b) 272 (c) 544 (d) 2720
  10. 10.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 32% (b) 10% (c) 5% (d) 6%
  11. 11.A shopkeeper buys a toy for ₹700 and sells it for ₹805. What is his profit percent? (a) 15% (b) 20% (c) 16% (d) 10%
  12. 12.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 5% (b) 23% (c) 10% (d) 6%
  13. 13.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  14. 14.What is 15% of 580? (a) 870 (b) 87 (c) 493 (d) 174
  15. 15.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹300 (b) ₹550 (c) ₹900 (d) ₹301
  16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 34% (b) 15% (c) 5% (d) 10%
  17. 17.A shopkeeper buys a toy for ₹380 and sells it for ₹494. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹980 and sells it for ₹1225. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  19. 19.A bag marked ₹880 is sold at a 40% discount. What is its selling price? (a) ₹528 (b) ₹840 (c) ₹1232 (d) ₹352
  20. 20.A shopkeeper buys a toy for ₹420 and sells it for ₹483. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 63%
  21. 21.A bag marked ₹1220 is sold at a 40% discount. What is its selling price? (a) ₹1708 (b) ₹488 (c) ₹732 (d) ₹1180
  22. 22.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  23. 23.What is 20% of 160? (a) 64 (b) 320 (c) 32 (d) 128
  24. 24.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 5% (b) 6% (c) 20% (d) 10%
  25. 25.A shopkeeper buys a toy for ₹820 and sells it for ₹1025. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  26. 26.What is 20% of 280? (a) 224 (b) 112 (c) 560 (d) 56
  27. 27.What is 50% of 860? (a) 860 (b) 430 (c) 4300 (d) 431
  28. 28.What is 75% of 120? (a) 30 (b) 180 (c) 90 (d) 900
  29. 29.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹460 (b) ₹1380 (c) ₹461 (d) ₹870
  30. 30.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 25% (b) 20% (c) 68% (d) 15%
  31. 31.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%
  32. 32.What is 75% of 380? (a) 2850 (b) 95 (c) 285 (d) 570
  33. 33.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 13%
  34. 34.What is 75% of 580? (a) 145 (b) 4350 (c) 435 (d) 870
  35. 35.What is 30% of 60? (a) 36 (b) 42 (c) 180 (d) 18
  36. 36.What is 30% of 280? (a) 840 (b) 84 (c) 168 (d) 196
  37. 37.What is 60% of 80? (a) 480 (b) 32 (c) 96 (d) 48
  38. 38.What is 10% of 240? (a) 240 (b) 216 (c) 24 (d) 48
  39. 39.A shopkeeper buys a toy for ₹840 and sells it for ₹504. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  40. 40.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%

Answer key

  1. 20%
  2. 96
  3. 5%
  4. ₹1458
  5. 260
  6. 5%
  7. 250
  8. 25%
  9. 272
  10. 5%
  11. 15%
  12. 5%
  13. 20%
  14. 87
  15. ₹300
  16. 10%
  17. 30%
  18. 25%
  19. ₹528
  20. 15%
  21. ₹732
  22. 15%
  23. 32
  24. 5%
  25. 25%
  26. 56
  27. 430
  28. 90
  29. ₹460
  30. 20%
  31. 40%
  32. 285
  33. 5%
  34. 435
  35. 18
  36. 84
  37. 48
  38. 24
  39. 40%
  40. 20%

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