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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 946 · 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 ₹160 and sells it for ₹120. What is his loss percent? (a) 25% (b) 30% (c) 40% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  3. 3.A bag marked ₹200 is sold at a 25% discount. What is its selling price? (a) ₹50 (b) ₹250 (c) ₹150 (d) ₹175
  4. 4.What is 25% of 100? (a) 75 (b) 250 (c) 25 (d) 50
  5. 5.What is 15% of 720? (a) 612 (b) 1080 (c) 108 (d) 216
  6. 6.What is 25% of 160? (a) 120 (b) 400 (c) 40 (d) 80
  7. 7.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 15% (b) 68% (c) 20% (d) 25%
  8. 8.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 30% (b) 25% (c) 35% (d) 31%
  9. 9.What is 15% of 220? (a) 187 (b) 33 (c) 66 (d) 330
  10. 10.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 25%
  11. 11.What is 5% of 760? (a) 380 (b) 38 (c) 722 (d) 76
  12. 12.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 36%
  13. 13.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 5% (b) 6% (c) 27% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  15. 15.What is 75% of 620? (a) 4650 (b) 930 (c) 155 (d) 465
  16. 16.What is 50% of 880? (a) 441 (b) 880 (c) 4400 (d) 440
  17. 17.A bag marked ₹1600 is sold at a 25% discount. What is its selling price? (a) ₹1200 (b) ₹400 (c) ₹2000 (d) ₹1575
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  19. 19.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 9%
  20. 20.A bag marked ₹280 is sold at a 20% discount. What is its selling price? (a) ₹224 (b) ₹56 (c) ₹260 (d) ₹336
  21. 21.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 16%
  22. 22.What is 40% of 600? (a) 240 (b) 360 (c) 2400 (d) 480
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 48%
  24. 24.What is 40% of 800? (a) 3200 (b) 480 (c) 320 (d) 640
  25. 25.A bag marked ₹1400 is sold at a 15% discount. What is its selling price? (a) ₹1385 (b) ₹1190 (c) ₹1610 (d) ₹210
  26. 26.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 25% (b) 26% (c) 20% (d) 30%
  27. 27.A bag marked ₹1960 is sold at a 15% discount. What is its selling price? (a) ₹1945 (b) ₹1666 (c) ₹294 (d) ₹2254
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 14%
  29. 29.A shopkeeper buys a toy for ₹720 and sells it for ₹432. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  30. 30.A bag marked ₹1700 is sold at a 40% discount. What is its selling price? (a) ₹1020 (b) ₹1660 (c) ₹680 (d) ₹2380
  31. 31.What is 5% of 260? (a) 247 (b) 26 (c) 130 (d) 13
  32. 32.What is 40% of 280? (a) 168 (b) 1120 (c) 112 (d) 224
  33. 33.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  34. 34.A bag marked ₹1040 is sold at a 25% discount. What is its selling price? (a) ₹780 (b) ₹260 (c) ₹1300 (d) ₹1015
  35. 35.A shopkeeper buys a toy for ₹720 and sells it for ₹828. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 16%
  36. 36.What is 25% of 800? (a) 200 (b) 600 (c) 2000 (d) 400
  37. 37.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 5%
  38. 38.A shopkeeper buys a toy for ₹920 and sells it for ₹1104. What is his profit percent? (a) 25% (b) 21% (c) 15% (d) 20%
  39. 39.What is 15% of 100? (a) 15 (b) 150 (c) 85 (d) 30
  40. 40.A bag marked ₹1900 is sold at a 30% discount. What is its selling price? (a) ₹1330 (b) ₹2470 (c) ₹1870 (d) ₹570

Answer key

  1. 25%
  2. 40%
  3. ₹150
  4. 25
  5. 108
  6. 40
  7. 20%
  8. 30%
  9. 33
  10. 5%
  11. 38
  12. 5%
  13. 5%
  14. 20%
  15. 465
  16. 440
  17. ₹1200
  18. 50%
  19. 5%
  20. ₹224
  21. 15%
  22. 240
  23. 40%
  24. 320
  25. ₹1190
  26. 25%
  27. ₹1666
  28. 10%
  29. 40%
  30. ₹1020
  31. 13
  32. 112
  33. 20%
  34. ₹780
  35. 15%
  36. 200
  37. 10%
  38. 20%
  39. 15
  40. ₹1330

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