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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 949 · 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 ₹540 and sells it for ₹675. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  2. 2.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 17% (b) 6% (c) 10% (d) 5%
  3. 3.What is 20% of 220? (a) 176 (b) 88 (c) 44 (d) 440
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 35% (b) 36% (c) 30% (d) 25%
  5. 5.What is 20% of 240? (a) 48 (b) 192 (c) 480 (d) 96
  6. 6.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  7. 7.What is 5% of 720? (a) 72 (b) 360 (c) 684 (d) 36
  8. 8.What is 75% of 720? (a) 5400 (b) 180 (c) 1080 (d) 540
  9. 9.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹1045 (b) ₹159 (c) ₹901 (d) ₹1219
  10. 10.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 32%
  11. 11.What is 20% of 620? (a) 1240 (b) 248 (c) 496 (d) 124
  12. 12.What is 5% of 80? (a) 40 (b) 76 (c) 4 (d) 8
  13. 13.A bag marked ₹1480 is sold at a 15% discount. What is its selling price? (a) ₹1258 (b) ₹1465 (c) ₹1702 (d) ₹222
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 5% (b) 42% (c) 10% (d) 15%
  15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 5% (b) 6% (c) 15% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 28%
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 5% (b) 11% (c) 15% (d) 10%
  18. 18.A bag marked ₹440 is sold at a 15% discount. What is its selling price? (a) ₹66 (b) ₹506 (c) ₹425 (d) ₹374
  19. 19.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 25% (b) 56% (c) 15% (d) 20%
  20. 20.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 6% (b) 4% (c) 5% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹460 and sells it for ₹368. What is his loss percent? (a) 25% (b) 92% (c) 15% (d) 20%
  22. 22.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 25% (b) 30% (c) 70% (d) 20%
  23. 23.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 10% (b) 82% (c) 15% (d) 5%
  24. 24.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 21% (b) 5% (c) 10% (d) 6%
  25. 25.What is 10% of 800? (a) 800 (b) 720 (c) 80 (d) 160
  26. 26.A bag marked ₹1540 is sold at a 40% discount. What is its selling price? (a) ₹616 (b) ₹2156 (c) ₹1500 (d) ₹924
  27. 27.What is 40% of 520? (a) 312 (b) 2080 (c) 416 (d) 208
  28. 28.A bag marked ₹1300 is sold at a 10% discount. What is its selling price? (a) ₹1290 (b) ₹130 (c) ₹1170 (d) ₹1430
  29. 29.A shopkeeper buys a toy for ₹180 and sells it for ₹252. What is his profit percent? (a) 40% (b) 72% (c) 35% (d) 45%
  30. 30.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 84% (b) 15% (c) 5% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%
  32. 32.What is 60% of 360? (a) 144 (b) 432 (c) 2160 (d) 216
  33. 33.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 45% (b) 72% (c) 35% (d) 40%
  34. 34.A bag marked ₹2000 is sold at a 25% discount. What is its selling price? (a) ₹1500 (b) ₹1975 (c) ₹500 (d) ₹2500
  35. 35.A shopkeeper buys a toy for ₹560 and sells it for ₹448. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  36. 36.A shopkeeper buys a toy for ₹240 and sells it for ₹300. What is his profit percent? (a) 30% (b) 25% (c) 60% (d) 20%
  37. 37.What is 25% of 400? (a) 300 (b) 200 (c) 100 (d) 1000
  38. 38.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  39. 39.What is 10% of 80? (a) 8 (b) 80 (c) 16 (d) 72
  40. 40.A bag marked ₹600 is sold at a 25% discount. What is its selling price? (a) ₹150 (b) ₹575 (c) ₹750 (d) ₹450

Answer key

  1. 25%
  2. 5%
  3. 44
  4. 30%
  5. 48
  6. 40%
  7. 36
  8. 540
  9. ₹901
  10. 20%
  11. 124
  12. 4
  13. ₹1258
  14. 10%
  15. 5%
  16. 20%
  17. 10%
  18. ₹374
  19. 20%
  20. 5%
  21. 20%
  22. 25%
  23. 10%
  24. 5%
  25. 80
  26. ₹924
  27. 208
  28. ₹1170
  29. 40%
  30. 10%
  31. 15%
  32. 216
  33. 40%
  34. ₹1500
  35. 20%
  36. 25%
  37. 100
  38. 50%
  39. 8
  40. ₹450

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