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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 818 · 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 ₹360 and sells it for ₹252. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 45% (b) 88% (c) 35% (d) 40%
  3. 3.What is 30% of 300? (a) 210 (b) 900 (c) 180 (d) 90
  4. 4.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹1550 (b) ₹1106 (c) ₹2054 (d) ₹474
  5. 5.A shopkeeper buys a toy for ₹740 and sells it for ₹777. What is his profit percent? (a) 37% (b) 6% (c) 10% (d) 5%
  6. 6.A bag marked ₹1140 is sold at a 10% discount. What is its selling price? (a) ₹1254 (b) ₹1130 (c) ₹1026 (d) ₹114
  7. 7.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 18%
  8. 8.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹200 (b) ₹1200 (c) ₹980 (d) ₹800
  9. 9.What is 50% of 840? (a) 420 (b) 840 (c) 421 (d) 4200
  10. 10.A bag marked ₹1600 is sold at a 30% discount. What is its selling price? (a) ₹480 (b) ₹1120 (c) ₹2080 (d) ₹1570
  11. 11.What is 20% of 420? (a) 84 (b) 168 (c) 336 (d) 840
  12. 12.What is 40% of 860? (a) 688 (b) 3440 (c) 516 (d) 344
  13. 13.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
  14. 14.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 25% (b) 72% (c) 15% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 15% (b) 42% (c) 5% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  17. 17.What is 50% of 320? (a) 161 (b) 160 (c) 1600 (d) 320
  18. 18.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  19. 19.What is 50% of 340? (a) 1700 (b) 340 (c) 171 (d) 170
  20. 20.What is 40% of 400? (a) 160 (b) 320 (c) 240 (d) 1600
  21. 21.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  22. 22.A shopkeeper buys a toy for ₹720 and sells it for ₹540. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  23. 23.A bag marked ₹960 is sold at a 30% discount. What is its selling price? (a) ₹288 (b) ₹672 (c) ₹930 (d) ₹1248
  24. 24.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 10% (b) 6% (c) 8% (d) 5%
  25. 25.What is 30% of 380? (a) 266 (b) 228 (c) 1140 (d) 114
  26. 26.What is 25% of 140? (a) 350 (b) 35 (c) 105 (d) 70
  27. 27.What is 30% of 440? (a) 1320 (b) 132 (c) 308 (d) 264
  28. 28.A bag marked ₹1420 is sold at a 25% discount. What is its selling price? (a) ₹1395 (b) ₹1065 (c) ₹1775 (d) ₹355
  29. 29.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  30. 30.A bag marked ₹1860 is sold at a 40% discount. What is its selling price? (a) ₹1116 (b) ₹2604 (c) ₹1820 (d) ₹744
  31. 31.A shopkeeper buys a toy for ₹400 and sells it for ₹480. What is his profit percent? (a) 15% (b) 25% (c) 80% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 15% (b) 64% (c) 20% (d) 25%
  33. 33.A shopkeeper buys a toy for ₹860 and sells it for ₹1290. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  34. 34.What is 75% of 900? (a) 225 (b) 675 (c) 1350 (d) 6750
  35. 35.What is 40% of 300? (a) 120 (b) 240 (c) 1200 (d) 180
  36. 36.What is 10% of 680? (a) 680 (b) 612 (c) 136 (d) 68
  37. 37.A bag marked ₹780 is sold at a 20% discount. What is its selling price? (a) ₹936 (b) ₹156 (c) ₹624 (d) ₹760
  38. 38.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹462 (b) ₹378 (c) ₹42 (d) ₹410
  39. 39.What is 60% of 980? (a) 1176 (b) 588 (c) 5880 (d) 392
  40. 40.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%

Answer key

  1. 30%
  2. 40%
  3. 90
  4. ₹1106
  5. 5%
  6. ₹1026
  7. 10%
  8. ₹800
  9. 420
  10. ₹1120
  11. 84
  12. 344
  13. 15%
  14. 20%
  15. 10%
  16. 25%
  17. 160
  18. 30%
  19. 170
  20. 160
  21. 20%
  22. 25%
  23. ₹672
  24. 5%
  25. 114
  26. 35
  27. 132
  28. ₹1065
  29. 30%
  30. ₹1116
  31. 20%
  32. 20%
  33. 50%
  34. 675
  35. 120
  36. 68
  37. ₹624
  38. ₹378
  39. 588
  40. 30%

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