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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 274 · 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 ₹700 and sells it for ₹595. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  2. 2.What is 50% of 840? (a) 840 (b) 420 (c) 4200 (d) 421
  3. 3.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 21% (b) 20% (c) 25% (d) 15%
  4. 4.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  5. 5.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 40%
  6. 6.What is 15% of 520? (a) 78 (b) 780 (c) 156 (d) 442
  7. 7.What is 10% of 860? (a) 860 (b) 172 (c) 86 (d) 774
  8. 8.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 5% (b) 6% (c) 32% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 84% (b) 15% (c) 20% (d) 10%
  10. 10.What is 15% of 600? (a) 510 (b) 90 (c) 180 (d) 900
  11. 11.A bag marked ₹400 is sold at a 20% discount. What is its selling price? (a) ₹380 (b) ₹480 (c) ₹80 (d) ₹320
  12. 12.A bag marked ₹380 is sold at a 10% discount. What is its selling price? (a) ₹38 (b) ₹370 (c) ₹418 (d) ₹342
  13. 13.What is 10% of 420? (a) 420 (b) 378 (c) 84 (d) 42
  14. 14.What is 60% of 180? (a) 72 (b) 108 (c) 1080 (d) 216
  15. 15.What is 20% of 240? (a) 48 (b) 192 (c) 96 (d) 480
  16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  17. 17.What is 20% of 900? (a) 720 (b) 1800 (c) 180 (d) 360
  18. 18.A bag marked ₹1360 is sold at a 40% discount. What is its selling price? (a) ₹1320 (b) ₹1904 (c) ₹816 (d) ₹544
  19. 19.What is 10% of 400? (a) 80 (b) 360 (c) 400 (d) 40
  20. 20.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  21. 21.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 33% (c) 15% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹240 and sells it for ₹336. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 96%
  23. 23.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 25% (b) 36% (c) 20% (d) 15%
  24. 24.A shopkeeper buys a toy for ₹400 and sells it for ₹340. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 60%
  25. 25.A shopkeeper buys a toy for ₹960 and sells it for ₹720. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 26%
  26. 26.A bag marked ₹1220 is sold at a 10% discount. What is its selling price? (a) ₹1098 (b) ₹122 (c) ₹1210 (d) ₹1342
  27. 27.What is 75% of 580? (a) 145 (b) 870 (c) 4350 (d) 435
  28. 28.A bag marked ₹1400 is sold at a 20% discount. What is its selling price? (a) ₹280 (b) ₹1680 (c) ₹1120 (d) ₹1380
  29. 29.A bag marked ₹960 is sold at a 10% discount. What is its selling price? (a) ₹864 (b) ₹950 (c) ₹96 (d) ₹1056
  30. 30.What is 75% of 560? (a) 4200 (b) 840 (c) 420 (d) 140
  31. 31.What is 75% of 420? (a) 315 (b) 3150 (c) 630 (d) 105
  32. 32.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 6% (b) 5% (c) 46% (d) 10%
  33. 33.What is 40% of 240? (a) 144 (b) 192 (c) 960 (d) 96
  34. 34.A bag marked ₹1660 is sold at a 25% discount. What is its selling price? (a) ₹1635 (b) ₹415 (c) ₹2075 (d) ₹1245
  35. 35.A shopkeeper buys a toy for ₹760 and sells it for ₹532. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  36. 36.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  37. 37.A bag marked ₹1340 is sold at a 25% discount. What is its selling price? (a) ₹335 (b) ₹1315 (c) ₹1005 (d) ₹1675
  38. 38.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 70% (b) 5% (c) 15% (d) 10%
  39. 39.A shopkeeper buys a toy for ₹980 and sells it for ₹588. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  40. 40.A bag marked ₹720 is sold at a 10% discount. What is its selling price? (a) ₹72 (b) ₹648 (c) ₹710 (d) ₹792

Answer key

  1. 15%
  2. 420
  3. 20%
  4. 40%
  5. 10%
  6. 78
  7. 86
  8. 5%
  9. 15%
  10. 90
  11. ₹320
  12. ₹342
  13. 42
  14. 108
  15. 48
  16. 50%
  17. 180
  18. ₹816
  19. 40
  20. 25%
  21. 15%
  22. 40%
  23. 20%
  24. 15%
  25. 25%
  26. ₹1098
  27. 435
  28. ₹1120
  29. ₹864
  30. 420
  31. 315
  32. 5%
  33. 96
  34. ₹1245
  35. 30%
  36. 15%
  37. ₹1005
  38. 10%
  39. 40%
  40. ₹648

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