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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 126 · 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 ₹128. What is his loss percent? (a) 25% (b) 15% (c) 32% (d) 20%
  2. 2.What is 5% of 580? (a) 551 (b) 290 (c) 29 (d) 58
  3. 3.A bag marked ₹1120 is sold at a 30% discount. What is its selling price? (a) ₹1456 (b) ₹336 (c) ₹1090 (d) ₹784
  4. 4.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  5. 5.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  6. 6.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹140 and sells it for ₹196. What is his profit percent? (a) 40% (b) 35% (c) 56% (d) 45%
  8. 8.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  9. 9.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 15% (b) 25% (c) 21% (d) 20%
  10. 10.What is 20% of 860? (a) 172 (b) 688 (c) 1720 (d) 344
  11. 11.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 10% (b) 84% (c) 5% (d) 15%
  13. 13.A bag marked ₹780 is sold at a 40% discount. What is its selling price? (a) ₹740 (b) ₹1092 (c) ₹312 (d) ₹468
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  15. 15.What is 15% of 400? (a) 600 (b) 340 (c) 60 (d) 120
  16. 16.A shopkeeper buys a toy for ₹840 and sells it for ₹1092. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  17. 17.What is 15% of 360? (a) 54 (b) 108 (c) 306 (d) 540
  18. 18.What is 50% of 620? (a) 3100 (b) 620 (c) 310 (d) 311
  19. 19.A shopkeeper buys a toy for ₹160 and sells it for ₹192. What is his profit percent? (a) 15% (b) 32% (c) 25% (d) 20%
  20. 20.What is 30% of 880? (a) 528 (b) 264 (c) 2640 (d) 616
  21. 21.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 5% (b) 10% (c) 16% (d) 6%
  22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 64% (b) 10% (c) 5% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 70% (b) 30% (c) 20% (d) 25%
  24. 24.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  25. 25.What is 60% of 960? (a) 384 (b) 5760 (c) 576 (d) 1152
  26. 26.What is 50% of 700? (a) 700 (b) 350 (c) 3500 (d) 351
  27. 27.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  28. 28.A bag marked ₹240 is sold at a 25% discount. What is its selling price? (a) ₹60 (b) ₹180 (c) ₹215 (d) ₹300
  29. 29.A bag marked ₹1080 is sold at a 50% discount. What is its selling price? (a) ₹1620 (b) ₹541 (c) ₹1030 (d) ₹540
  30. 30.What is 60% of 440? (a) 2640 (b) 176 (c) 264 (d) 528
  31. 31.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  32. 32.What is 20% of 60? (a) 48 (b) 120 (c) 24 (d) 12
  33. 33.What is 5% of 60? (a) 30 (b) 6 (c) 3 (d) 57
  34. 34.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 5% (b) 48% (c) 6% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 42%
  36. 36.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 16% (b) 5% (c) 6% (d) 10%
  37. 37.What is 75% of 420? (a) 3150 (b) 315 (c) 630 (d) 105
  38. 38.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  39. 39.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  40. 40.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 99%

Answer key

  1. 20%
  2. 29
  3. ₹784
  4. 40%
  5. 40%
  6. 50%
  7. 40%
  8. 25%
  9. 20%
  10. 172
  11. 20%
  12. 10%
  13. ₹468
  14. 40%
  15. 60
  16. 30%
  17. 54
  18. 310
  19. 20%
  20. 264
  21. 5%
  22. 10%
  23. 25%
  24. 40%
  25. 576
  26. 350
  27. 25%
  28. ₹180
  29. ₹540
  30. 264
  31. 50%
  32. 12
  33. 3
  34. 5%
  35. 5%
  36. 5%
  37. 315
  38. 30%
  39. 40%
  40. 15%

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