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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 707 · 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 ₹420 is sold at a 20% discount. What is its selling price? (a) ₹84 (b) ₹504 (c) ₹336 (d) ₹400
  2. 2.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 17%
  3. 3.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
  4. 4.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  5. 5.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 10% (b) 29% (c) 6% (d) 5%
  6. 6.What is 20% of 180? (a) 360 (b) 36 (c) 144 (d) 72
  7. 7.What is 40% of 920? (a) 736 (b) 368 (c) 3680 (d) 552
  8. 8.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 6% (b) 22% (c) 10% (d) 5%
  9. 9.A bag marked ₹640 is sold at a 15% discount. What is its selling price? (a) ₹96 (b) ₹736 (c) ₹625 (d) ₹544
  10. 10.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 35% (b) 25% (c) 48% (d) 30%
  11. 11.A shopkeeper buys a toy for ₹520 and sells it for ₹468. What is his loss percent? (a) 52% (b) 5% (c) 10% (d) 15%
  12. 12.What is 60% of 600? (a) 720 (b) 240 (c) 360 (d) 3600
  13. 13.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%
  14. 14.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 9%
  15. 15.What is 10% of 140? (a) 28 (b) 126 (c) 14 (d) 140
  16. 16.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  17. 17.What is 5% of 120? (a) 60 (b) 114 (c) 6 (d) 12
  18. 18.A bag marked ₹980 is sold at a 20% discount. What is its selling price? (a) ₹1176 (b) ₹196 (c) ₹960 (d) ₹784
  19. 19.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹1771 (b) ₹1309 (c) ₹231 (d) ₹1525
  20. 20.What is 25% of 140? (a) 350 (b) 35 (c) 70 (d) 105
  21. 21.What is 30% of 200? (a) 140 (b) 120 (c) 60 (d) 600
  22. 22.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 20% (b) 60% (c) 25% (d) 15%
  23. 23.What is 5% of 660? (a) 33 (b) 330 (c) 627 (d) 66
  24. 24.What is 50% of 880? (a) 4400 (b) 880 (c) 440 (d) 441
  25. 25.A shopkeeper buys a toy for ₹280 and sells it for ₹322. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 42%
  26. 26.What is 20% of 440? (a) 88 (b) 880 (c) 176 (d) 352
  27. 27.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 16% (b) 20% (c) 15% (d) 10%
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 6% (b) 11% (c) 5% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  30. 30.A shopkeeper buys a toy for ₹700 and sells it for ₹770. What is his profit percent? (a) 15% (b) 5% (c) 70% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 15% (b) 36% (c) 20% (d) 25%
  32. 32.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹685 (b) ₹105 (c) ₹805 (d) ₹595
  33. 33.What is 5% of 400? (a) 20 (b) 40 (c) 380 (d) 200
  34. 34.A shopkeeper buys a toy for ₹860 and sells it for ₹1204. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  35. 35.What is 10% of 160? (a) 160 (b) 16 (c) 144 (d) 32
  36. 36.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹663 (b) ₹117 (c) ₹897 (d) ₹765
  37. 37.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 23% (b) 10% (c) 6% (d) 5%
  38. 38.A bag marked ₹200 is sold at a 20% discount. What is its selling price? (a) ₹240 (b) ₹40 (c) ₹180 (d) ₹160
  39. 39.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 5% (b) 15% (c) 26% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%

Answer key

  1. ₹336
  2. 5%
  3. 40%
  4. 40%
  5. 5%
  6. 36
  7. 368
  8. 5%
  9. ₹544
  10. 30%
  11. 10%
  12. 360
  13. 30%
  14. 5%
  15. 14
  16. 40%
  17. 6
  18. ₹784
  19. ₹1309
  20. 35
  21. 60
  22. 20%
  23. 33
  24. 440
  25. 15%
  26. 88
  27. 15%
  28. 5%
  29. 20%
  30. 10%
  31. 20%
  32. ₹595
  33. 20
  34. 40%
  35. 16
  36. ₹663
  37. 5%
  38. ₹160
  39. 10%
  40. 20%

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