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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 858 · 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 ₹1960 is sold at a 25% discount. What is its selling price? (a) ₹1935 (b) ₹2450 (c) ₹1470 (d) ₹490
  2. 2.What is 25% of 580? (a) 435 (b) 1450 (c) 290 (d) 145
  3. 3.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹84 (c) ₹400 (d) ₹504
  4. 4.A shopkeeper buys a toy for ₹620 and sells it for ₹713. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 93%
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 20% (c) 25% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹560 and sells it for ₹840. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 64% (b) 15% (c) 25% (d) 20%
  8. 8.A bag marked ₹1080 is sold at a 20% discount. What is its selling price? (a) ₹216 (b) ₹864 (c) ₹1060 (d) ₹1296
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  10. 10.What is 15% of 480? (a) 408 (b) 72 (c) 720 (d) 144
  11. 11.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 15% (b) 10% (c) 27% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 15% (b) 5% (c) 84% (d) 10%
  13. 13.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹288 (b) ₹352 (c) ₹310 (d) ₹32
  14. 14.What is 20% of 440? (a) 176 (b) 880 (c) 352 (d) 88
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 25% (c) 30% (d) 35%
  16. 16.What is 30% of 740? (a) 518 (b) 444 (c) 222 (d) 2220
  17. 17.What is 75% of 100? (a) 75 (b) 150 (c) 25 (d) 750
  18. 18.A bag marked ₹1940 is sold at a 15% discount. What is its selling price? (a) ₹2231 (b) ₹1925 (c) ₹291 (d) ₹1649
  19. 19.What is 25% of 380? (a) 950 (b) 95 (c) 285 (d) 190
  20. 20.What is 20% of 500? (a) 200 (b) 100 (c) 1000 (d) 400
  21. 21.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 20%
  22. 22.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
  24. 24.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 35% (c) 10% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹560 and sells it for ₹644. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 84%
  26. 26.What is 40% of 940? (a) 752 (b) 3760 (c) 376 (d) 564
  27. 27.A bag marked ₹380 is sold at a 30% discount. What is its selling price? (a) ₹266 (b) ₹494 (c) ₹350 (d) ₹114
  28. 28.What is 60% of 780? (a) 312 (b) 468 (c) 4680 (d) 936
  29. 29.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 12%
  30. 30.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 5% (b) 10% (c) 36% (d) 6%
  31. 31.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹251 (b) ₹750 (c) ₹250 (d) ₹450
  32. 32.A bag marked ₹980 is sold at a 30% discount. What is its selling price? (a) ₹950 (b) ₹1274 (c) ₹294 (d) ₹686
  33. 33.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  34. 34.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  35. 35.A shopkeeper buys a toy for ₹400 and sells it for ₹340. What is his loss percent? (a) 60% (b) 10% (c) 20% (d) 15%
  36. 36.A bag marked ₹720 is sold at a 30% discount. What is its selling price? (a) ₹936 (b) ₹216 (c) ₹690 (d) ₹504
  37. 37.A bag marked ₹700 is sold at a 50% discount. What is its selling price? (a) ₹351 (b) ₹350 (c) ₹650 (d) ₹1050
  38. 38.What is 15% of 840? (a) 252 (b) 1260 (c) 714 (d) 126
  39. 39.A bag marked ₹1100 is sold at a 25% discount. What is its selling price? (a) ₹275 (b) ₹1075 (c) ₹1375 (d) ₹825
  40. 40.A bag marked ₹580 is sold at a 15% discount. What is its selling price? (a) ₹87 (b) ₹667 (c) ₹565 (d) ₹493

Answer key

  1. ₹1470
  2. 145
  3. ₹336
  4. 15%
  5. 25%
  6. 50%
  7. 20%
  8. ₹864
  9. 50%
  10. 72
  11. 15%
  12. 10%
  13. ₹288
  14. 88
  15. 30%
  16. 222
  17. 75
  18. ₹1649
  19. 95
  20. 100
  21. 15%
  22. 40%
  23. 25%
  24. 5%
  25. 15%
  26. 376
  27. ₹266
  28. 468
  29. 10%
  30. 5%
  31. ₹250
  32. ₹686
  33. 20%
  34. 20%
  35. 15%
  36. ₹504
  37. ₹350
  38. 126
  39. ₹825
  40. ₹493

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