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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 550 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A bag marked ₹1420 is sold at a 20% discount. What is its selling price? (a) ₹1400 (b) ₹1136 (c) ₹284 (d) ₹1704
  2. 2.A bag marked ₹1220 is sold at a 10% discount. What is its selling price? (a) ₹1342 (b) ₹1210 (c) ₹1098 (d) ₹122
  3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 10% (b) 6% (c) 32% (d) 5%
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 4% (b) 10% (c) 6% (d) 5%
  5. 5.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 54%
  6. 6.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  7. 7.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%
  8. 8.A shopkeeper buys a toy for ₹400 and sells it for ₹560. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  9. 9.What is 30% of 760? (a) 228 (b) 2280 (c) 456 (d) 532
  10. 10.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 81% (c) 15% (d) 20%
  11. 11.What is 30% of 160? (a) 96 (b) 112 (c) 480 (d) 48
  12. 12.A bag marked ₹1900 is sold at a 30% discount. What is its selling price? (a) ₹1330 (b) ₹1870 (c) ₹2470 (d) ₹570
  13. 13.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹289 (b) ₹391 (c) ₹325 (d) ₹51
  14. 14.A bag marked ₹1460 is sold at a 40% discount. What is its selling price? (a) ₹584 (b) ₹876 (c) ₹1420 (d) ₹2044
  15. 15.What is 50% of 200? (a) 200 (b) 100 (c) 1000 (d) 101
  16. 16.A bag marked ₹1180 is sold at a 20% discount. What is its selling price? (a) ₹1416 (b) ₹1160 (c) ₹944 (d) ₹236
  17. 17.A bag marked ₹940 is sold at a 25% discount. What is its selling price? (a) ₹1175 (b) ₹915 (c) ₹235 (d) ₹705
  18. 18.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 48%
  19. 19.What is 30% of 500? (a) 300 (b) 1500 (c) 350 (d) 150
  20. 20.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 5% (b) 82% (c) 10% (d) 15%
  22. 22.What is 30% of 280? (a) 84 (b) 168 (c) 196 (d) 840
  23. 23.A bag marked ₹1940 is sold at a 50% discount. What is its selling price? (a) ₹971 (b) ₹2910 (c) ₹1890 (d) ₹970
  24. 24.What is 20% of 560? (a) 1120 (b) 448 (c) 224 (d) 112
  25. 25.What is 15% of 300? (a) 255 (b) 450 (c) 90 (d) 45
  26. 26.What is 50% of 400? (a) 400 (b) 201 (c) 200 (d) 2000
  27. 27.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 21%
  28. 28.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  29. 29.What is 20% of 680? (a) 136 (b) 1360 (c) 544 (d) 272
  30. 30.What is 75% of 420? (a) 3150 (b) 105 (c) 315 (d) 630
  31. 31.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  32. 32.A bag marked ₹1760 is sold at a 50% discount. What is its selling price? (a) ₹2640 (b) ₹881 (c) ₹880 (d) ₹1710
  33. 33.A bag marked ₹1980 is sold at a 25% discount. What is its selling price? (a) ₹2475 (b) ₹495 (c) ₹1955 (d) ₹1485
  34. 34.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 22% (b) 5% (c) 10% (d) 15%
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 9% (b) 5% (c) 6% (d) 10%
  36. 36.A shopkeeper buys a toy for ₹820 and sells it for ₹615. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  37. 37.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 16% (b) 15% (c) 20% (d) 10%
  38. 38.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1050 (b) ₹1404 (c) ₹324 (d) ₹756
  39. 39.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  40. 40.What is 75% of 140? (a) 105 (b) 210 (c) 1050 (d) 35

Answer key

  1. ₹1136
  2. ₹1098
  3. 5%
  4. 5%
  5. 30%
  6. 30%
  7. 40%
  8. 40%
  9. 228
  10. 15%
  11. 48
  12. ₹1330
  13. ₹289
  14. ₹876
  15. 100
  16. ₹944
  17. ₹705
  18. 40%
  19. 150
  20. 20%
  21. 10%
  22. 84
  23. ₹970
  24. 112
  25. 45
  26. 200
  27. 15%
  28. 40%
  29. 136
  30. 315
  31. 40%
  32. ₹880
  33. ₹1485
  34. 10%
  35. 5%
  36. 25%
  37. 15%
  38. ₹756
  39. 30%
  40. 105

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