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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 605 · 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 ₹756. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  2. 2.A shopkeeper buys a toy for ₹880 and sells it for ₹704. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  3. 3.What is 30% of 980? (a) 2940 (b) 294 (c) 588 (d) 686
  4. 4.A bag marked ₹800 is sold at a 20% discount. What is its selling price? (a) ₹780 (b) ₹640 (c) ₹160 (d) ₹960
  5. 5.A bag marked ₹1120 is sold at a 50% discount. What is its selling price? (a) ₹1070 (b) ₹1680 (c) ₹560 (d) ₹561
  6. 6.A shopkeeper buys a toy for ₹1000 and sells it for ₹950. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 50%
  7. 7.What is 50% of 80? (a) 80 (b) 400 (c) 40 (d) 41
  8. 8.A bag marked ₹1900 is sold at a 40% discount. What is its selling price? (a) ₹1860 (b) ₹760 (c) ₹2660 (d) ₹1140
  9. 9.What is 15% of 220? (a) 330 (b) 187 (c) 33 (d) 66
  10. 10.A bag marked ₹1820 is sold at a 10% discount. What is its selling price? (a) ₹1810 (b) ₹2002 (c) ₹182 (d) ₹1638
  11. 11.What is 30% of 620? (a) 186 (b) 1860 (c) 434 (d) 372
  12. 12.A bag marked ₹840 is sold at a 25% discount. What is its selling price? (a) ₹630 (b) ₹210 (c) ₹1050 (d) ₹815
  13. 13.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 68%
  14. 14.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  16. 16.What is 5% of 420? (a) 210 (b) 21 (c) 42 (d) 399
  17. 17.A bag marked ₹1440 is sold at a 10% discount. What is its selling price? (a) ₹1584 (b) ₹144 (c) ₹1296 (d) ₹1430
  18. 18.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 10% (b) 64% (c) 15% (d) 5%
  19. 19.A bag marked ₹1360 is sold at a 20% discount. What is its selling price? (a) ₹1632 (b) ₹1088 (c) ₹1340 (d) ₹272
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 15% (b) 20% (c) 96% (d) 25%
  21. 21.What is 20% of 300? (a) 600 (b) 60 (c) 120 (d) 240
  22. 22.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹68 (b) ₹612 (c) ₹748 (d) ₹670
  23. 23.What is 5% of 180? (a) 171 (b) 9 (c) 90 (d) 18
  24. 24.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  25. 25.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 70%
  26. 26.A bag marked ₹1000 is sold at a 40% discount. What is its selling price? (a) ₹960 (b) ₹1400 (c) ₹400 (d) ₹600
  27. 27.A bag marked ₹820 is sold at a 15% discount. What is its selling price? (a) ₹805 (b) ₹943 (c) ₹123 (d) ₹697
  28. 28.A bag marked ₹540 is sold at a 20% discount. What is its selling price? (a) ₹648 (b) ₹108 (c) ₹432 (d) ₹520
  29. 29.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  31. 31.What is 10% of 100? (a) 100 (b) 90 (c) 10 (d) 20
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 96% (b) 35% (c) 25% (d) 30%
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 25% (b) 20% (c) 50% (d) 30%
  34. 34.A shopkeeper buys a toy for ₹500 and sells it for ₹550. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 50%
  35. 35.What is 50% of 60? (a) 300 (b) 60 (c) 30 (d) 31
  36. 36.A bag marked ₹1040 is sold at a 30% discount. What is its selling price? (a) ₹312 (b) ₹728 (c) ₹1352 (d) ₹1010
  37. 37.A bag marked ₹380 is sold at a 30% discount. What is its selling price? (a) ₹114 (b) ₹350 (c) ₹266 (d) ₹494
  38. 38.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 20% (b) 26% (c) 25% (d) 30%
  39. 39.A bag marked ₹900 is sold at a 50% discount. What is its selling price? (a) ₹450 (b) ₹850 (c) ₹451 (d) ₹1350
  40. 40.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 30% (b) 90% (c) 25% (d) 20%

Answer key

  1. 40%
  2. 20%
  3. 294
  4. ₹640
  5. ₹560
  6. 5%
  7. 40
  8. ₹1140
  9. 33
  10. ₹1638
  11. 186
  12. ₹630
  13. 20%
  14. 20%
  15. 40%
  16. 21
  17. ₹1296
  18. 10%
  19. ₹1088
  20. 20%
  21. 60
  22. ₹612
  23. 9
  24. 50%
  25. 25%
  26. ₹600
  27. ₹697
  28. ₹432
  29. 30%
  30. 40%
  31. 10
  32. 30%
  33. 25%
  34. 10%
  35. 30
  36. ₹728
  37. ₹266
  38. 25%
  39. ₹450
  40. 25%

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