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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 84 · 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 ₹240 is sold at a 15% discount. What is its selling price? (a) ₹276 (b) ₹225 (c) ₹204 (d) ₹36
  2. 2.What is 15% of 540? (a) 162 (b) 81 (c) 810 (d) 459
  3. 3.A bag marked ₹1800 is sold at a 15% discount. What is its selling price? (a) ₹1530 (b) ₹1785 (c) ₹270 (d) ₹2070
  4. 4.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 21% (b) 20% (c) 25% (d) 15%
  5. 5.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 10% (b) 5% (c) 43% (d) 6%
  7. 7.A bag marked ₹680 is sold at a 30% discount. What is its selling price? (a) ₹204 (b) ₹650 (c) ₹476 (d) ₹884
  8. 8.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 6% (b) 5% (c) 35% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 16% (b) 6% (c) 10% (d) 5%
  10. 10.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹301 (b) ₹300 (c) ₹550 (d) ₹900
  11. 11.What is 50% of 440? (a) 440 (b) 2200 (c) 220 (d) 221
  12. 12.A shopkeeper buys a toy for ₹240 and sells it for ₹300. What is his profit percent? (a) 20% (b) 25% (c) 60% (d) 30%
  13. 13.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 99% (b) 10% (c) 15% (d) 20%
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 78% (b) 35% (c) 25% (d) 30%
  15. 15.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 48% (b) 5% (c) 6% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹320 and sells it for ₹416. What is his profit percent? (a) 25% (b) 30% (c) 96% (d) 35%
  17. 17.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 20% (b) 36% (c) 15% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 10% (b) 18% (c) 5% (d) 15%
  19. 19.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹989 (b) ₹845 (c) ₹731 (d) ₹129
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹288. What is his loss percent? (a) 45% (b) 40% (c) 35% (d) 41%
  21. 21.A shopkeeper buys a toy for ₹920 and sells it for ₹552. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  22. 22.What is 50% of 540? (a) 2700 (b) 271 (c) 540 (d) 270
  23. 23.What is 40% of 520? (a) 416 (b) 208 (c) 312 (d) 2080
  24. 24.What is 15% of 200? (a) 60 (b) 300 (c) 30 (d) 170
  25. 25.What is 25% of 660? (a) 1650 (b) 165 (c) 330 (d) 495
  26. 26.What is 60% of 480? (a) 192 (b) 288 (c) 576 (d) 2880
  27. 27.A shopkeeper buys a toy for ₹880 and sells it for ₹792. What is his loss percent? (a) 15% (b) 5% (c) 88% (d) 10%
  28. 28.What is 25% of 820? (a) 410 (b) 2050 (c) 615 (d) 205
  29. 29.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  30. 30.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 6%
  31. 31.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 28%
  32. 32.What is 60% of 420? (a) 2520 (b) 252 (c) 504 (d) 168
  33. 33.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 15% (b) 32% (c) 10% (d) 5%
  34. 34.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 5% (b) 10% (c) 30% (d) 15%
  35. 35.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  36. 36.What is 50% of 280? (a) 1400 (b) 280 (c) 140 (d) 141
  37. 37.What is 5% of 1000? (a) 50 (b) 950 (c) 100 (d) 500
  38. 38.What is 30% of 60? (a) 36 (b) 18 (c) 180 (d) 42
  39. 39.A bag marked ₹500 is sold at a 25% discount. What is its selling price? (a) ₹125 (b) ₹625 (c) ₹475 (d) ₹375
  40. 40.A shopkeeper buys a toy for ₹640 and sells it for ₹448. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%

Answer key

  1. ₹204
  2. 81
  3. ₹1530
  4. 20%
  5. 15%
  6. 5%
  7. ₹476
  8. 5%
  9. 5%
  10. ₹300
  11. 220
  12. 25%
  13. 15%
  14. 30%
  15. 5%
  16. 30%
  17. 15%
  18. 10%
  19. ₹731
  20. 40%
  21. 40%
  22. 270
  23. 208
  24. 30
  25. 165
  26. 288
  27. 10%
  28. 205
  29. 25%
  30. 5%
  31. 10%
  32. 252
  33. 10%
  34. 10%
  35. 30%
  36. 140
  37. 50
  38. 18
  39. ₹375
  40. 30%

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