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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 509 · 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 ₹700 is sold at a 50% discount. What is its selling price? (a) ₹1050 (b) ₹350 (c) ₹351 (d) ₹650
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  3. 3.What is 5% of 500? (a) 250 (b) 475 (c) 25 (d) 50
  4. 4.What is 25% of 880? (a) 440 (b) 220 (c) 660 (d) 2200
  5. 5.What is 15% of 800? (a) 120 (b) 240 (c) 1200 (d) 680
  6. 6.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 38%
  7. 7.What is 20% of 80? (a) 16 (b) 32 (c) 160 (d) 64
  8. 8.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 78% (b) 5% (c) 15% (d) 10%
  9. 9.A bag marked ₹1840 is sold at a 25% discount. What is its selling price? (a) ₹2300 (b) ₹1815 (c) ₹1380 (d) ₹460
  10. 10.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  11. 11.What is 20% of 380? (a) 152 (b) 76 (c) 304 (d) 760
  12. 12.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 6% (b) 5% (c) 39% (d) 10%
  13. 13.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹300 (b) ₹1985 (c) ₹2300 (d) ₹1700
  14. 14.A shopkeeper buys a toy for ₹860 and sells it for ₹1075. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  15. 15.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 21%
  16. 16.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 10% (b) 5% (c) 9% (d) 6%
  17. 17.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹136 (b) ₹1350 (c) ₹1496 (d) ₹1224
  18. 18.What is 60% of 140? (a) 840 (b) 84 (c) 168 (d) 56
  19. 19.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  20. 20.What is 25% of 280? (a) 70 (b) 210 (c) 140 (d) 700
  21. 21.What is 5% of 120? (a) 114 (b) 12 (c) 6 (d) 60
  22. 22.A bag marked ₹1540 is sold at a 20% discount. What is its selling price? (a) ₹1520 (b) ₹1848 (c) ₹1232 (d) ₹308
  23. 23.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹135 (b) ₹405 (c) ₹675 (d) ₹515
  24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 5% (b) 15% (c) 6% (d) 10%
  25. 25.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 16% (b) 10% (c) 15% (d) 20%
  27. 27.What is 10% of 860? (a) 860 (b) 86 (c) 172 (d) 774
  28. 28.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  29. 29.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 15% (b) 72% (c) 10% (d) 20%
  30. 30.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹1248 (b) ₹1540 (c) ₹312 (d) ₹1872
  31. 31.What is 30% of 360? (a) 108 (b) 1080 (c) 252 (d) 216
  32. 32.A bag marked ₹1460 is sold at a 25% discount. What is its selling price? (a) ₹1825 (b) ₹1435 (c) ₹1095 (d) ₹365
  33. 33.What is 50% of 300? (a) 300 (b) 150 (c) 151 (d) 1500
  34. 34.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 68% (b) 10% (c) 15% (d) 5%
  35. 35.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  36. 36.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 20% (b) 10% (c) 75% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 6% (b) 42% (c) 5% (d) 10%
  38. 38.What is 30% of 1000? (a) 600 (b) 300 (c) 700 (d) 3000
  39. 39.A bag marked ₹480 is sold at a 40% discount. What is its selling price? (a) ₹192 (b) ₹288 (c) ₹672 (d) ₹440
  40. 40.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%

Answer key

  1. ₹350
  2. 40%
  3. 25
  4. 220
  5. 120
  6. 5%
  7. 16
  8. 10%
  9. ₹1380
  10. 30%
  11. 76
  12. 5%
  13. ₹1700
  14. 25%
  15. 20%
  16. 5%
  17. ₹1224
  18. 84
  19. 30%
  20. 70
  21. 6
  22. ₹1232
  23. ₹405
  24. 5%
  25. 15%
  26. 15%
  27. 86
  28. 25%
  29. 15%
  30. ₹1248
  31. 108
  32. ₹1095
  33. 150
  34. 10%
  35. 30%
  36. 15%
  37. 5%
  38. 300
  39. ₹288
  40. 25%

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