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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 968 · 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 ₹160 and sells it for ₹112. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 48%
  2. 2.A shopkeeper buys a toy for ₹820 and sells it for ₹697. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  3. 3.A bag marked ₹1060 is sold at a 40% discount. What is its selling price? (a) ₹1020 (b) ₹636 (c) ₹1484 (d) ₹424
  4. 4.What is 5% of 780? (a) 78 (b) 390 (c) 39 (d) 741
  5. 5.What is 15% of 720? (a) 612 (b) 216 (c) 1080 (d) 108
  6. 6.What is 20% of 880? (a) 1760 (b) 704 (c) 352 (d) 176
  7. 7.A bag marked ₹1000 is sold at a 50% discount. What is its selling price? (a) ₹500 (b) ₹501 (c) ₹1500 (d) ₹950
  8. 8.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 25% (b) 15% (c) 28% (d) 20%
  9. 9.What is 40% of 1000? (a) 400 (b) 600 (c) 800 (d) 4000
  10. 10.What is 10% of 700? (a) 630 (b) 140 (c) 70 (d) 700
  11. 11.A bag marked ₹1520 is sold at a 10% discount. What is its selling price? (a) ₹1510 (b) ₹152 (c) ₹1672 (d) ₹1368
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 5% (b) 4% (c) 10% (d) 6%
  13. 13.What is 15% of 680? (a) 102 (b) 578 (c) 1020 (d) 204
  14. 14.What is 60% of 880? (a) 1056 (b) 352 (c) 5280 (d) 528
  15. 15.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 30% (b) 60% (c) 35% (d) 25%
  16. 16.A bag marked ₹1040 is sold at a 25% discount. What is its selling price? (a) ₹1015 (b) ₹780 (c) ₹260 (d) ₹1300
  17. 17.A bag marked ₹960 is sold at a 50% discount. What is its selling price? (a) ₹910 (b) ₹480 (c) ₹481 (d) ₹1440
  18. 18.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%
  19. 19.What is 10% of 60? (a) 12 (b) 6 (c) 54 (d) 60
  20. 20.What is 50% of 40? (a) 200 (b) 21 (c) 20 (d) 40
  21. 21.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 25% (b) 5% (c) 10% (d) 6%
  22. 22.A shopkeeper buys a toy for ₹800 and sells it for ₹1200. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  23. 23.A shopkeeper buys a toy for ₹600 and sells it for ₹420. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  24. 24.What is 40% of 280? (a) 1120 (b) 168 (c) 112 (d) 224
  25. 25.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹136 (b) ₹1496 (c) ₹1224 (d) ₹1350
  26. 26.A shopkeeper buys a toy for ₹900 and sells it for ₹810. What is his loss percent? (a) 90% (b) 15% (c) 5% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 84% (b) 25% (c) 35% (d) 30%
  28. 28.What is 30% of 620? (a) 372 (b) 186 (c) 1860 (d) 434
  29. 29.A shopkeeper buys a toy for ₹720 and sells it for ₹1008. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  30. 30.What is 75% of 80? (a) 20 (b) 120 (c) 600 (d) 60
  31. 31.What is 50% of 460? (a) 460 (b) 231 (c) 230 (d) 2300
  32. 32.What is 20% of 520? (a) 208 (b) 104 (c) 1040 (d) 416
  33. 33.A bag marked ₹1600 is sold at a 25% discount. What is its selling price? (a) ₹2000 (b) ₹400 (c) ₹1200 (d) ₹1575
  34. 34.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹1092 (c) ₹1530 (d) ₹2028
  35. 35.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  36. 36.What is 75% of 380? (a) 2850 (b) 95 (c) 570 (d) 285
  37. 37.A bag marked ₹1200 is sold at a 10% discount. What is its selling price? (a) ₹120 (b) ₹1080 (c) ₹1190 (d) ₹1320
  38. 38.What is 15% of 940? (a) 799 (b) 141 (c) 282 (d) 1410
  39. 39.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 72%
  40. 40.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 86%

Answer key

  1. 30%
  2. 15%
  3. ₹636
  4. 39
  5. 108
  6. 176
  7. ₹500
  8. 20%
  9. 400
  10. 70
  11. ₹1368
  12. 5%
  13. 102
  14. 528
  15. 30%
  16. ₹780
  17. ₹480
  18. 20%
  19. 6
  20. 20
  21. 5%
  22. 50%
  23. 30%
  24. 112
  25. ₹1224
  26. 10%
  27. 30%
  28. 186
  29. 40%
  30. 60
  31. 230
  32. 104
  33. ₹1200
  34. ₹1092
  35. 30%
  36. 285
  37. ₹1080
  38. 141
  39. 15%
  40. 10%

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