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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 167 · 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 ₹810. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  2. 2.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 20% (b) 21% (c) 25% (d) 15%
  3. 3.A bag marked ₹1280 is sold at a 50% discount. What is its selling price? (a) ₹641 (b) ₹1920 (c) ₹640 (d) ₹1230
  4. 4.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 10% (b) 46% (c) 6% (d) 5%
  5. 5.What is 20% of 560? (a) 448 (b) 112 (c) 224 (d) 1120
  6. 6.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 15% (b) 20% (c) 32% (d) 25%
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 30% (b) 96% (c) 35% (d) 25%
  8. 8.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 72%
  9. 9.What is 75% of 360? (a) 2700 (b) 270 (c) 540 (d) 90
  10. 10.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  11. 11.What is 50% of 620? (a) 311 (b) 3100 (c) 620 (d) 310
  12. 12.A bag marked ₹1980 is sold at a 20% discount. What is its selling price? (a) ₹2376 (b) ₹396 (c) ₹1960 (d) ₹1584
  13. 13.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  14. 14.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 42%
  15. 15.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 44% (b) 10% (c) 6% (d) 5%
  16. 16.What is 60% of 340? (a) 204 (b) 408 (c) 2040 (d) 136
  17. 17.What is 5% of 1000? (a) 50 (b) 100 (c) 500 (d) 950
  18. 18.A shopkeeper buys a toy for ₹880 and sells it for ₹748. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  19. 19.A bag marked ₹1040 is sold at a 50% discount. What is its selling price? (a) ₹521 (b) ₹1560 (c) ₹520 (d) ₹990
  20. 20.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹500 (b) ₹100 (c) ₹375 (d) ₹300
  21. 21.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 36% (b) 10% (c) 20% (d) 15%
  22. 22.A shopkeeper buys a toy for ₹340 and sells it for ₹391. What is his profit percent? (a) 20% (b) 10% (c) 51% (d) 15%
  23. 23.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹760 (c) ₹1120 (d) ₹320
  24. 24.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 36% (b) 10% (c) 5% (d) 15%
  25. 25.A shopkeeper buys a toy for ₹960 and sells it for ₹816. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 16%
  26. 26.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 10% (c) 5% (d) 15%
  28. 28.What is 10% of 300? (a) 300 (b) 60 (c) 270 (d) 30
  29. 29.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  30. 30.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 6% (b) 10% (c) 44% (d) 5%
  31. 31.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 5% (b) 10% (c) 16% (d) 15%
  32. 32.What is 20% of 140? (a) 112 (b) 280 (c) 28 (d) 56
  33. 33.A bag marked ₹360 is sold at a 25% discount. What is its selling price? (a) ₹335 (b) ₹270 (c) ₹90 (d) ₹450
  34. 34.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 5% (c) 20% (d) 6%
  35. 35.What is 5% of 920? (a) 460 (b) 46 (c) 92 (d) 874
  36. 36.A shopkeeper buys a toy for ₹460 and sells it for ₹575. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 26%
  37. 37.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 25% (b) 5% (c) 6% (d) 10%
  38. 38.A bag marked ₹1380 is sold at a 15% discount. What is its selling price? (a) ₹207 (b) ₹1173 (c) ₹1365 (d) ₹1587
  39. 39.A bag marked ₹1180 is sold at a 15% discount. What is its selling price? (a) ₹1357 (b) ₹177 (c) ₹1165 (d) ₹1003
  40. 40.What is 50% of 240? (a) 1200 (b) 120 (c) 240 (d) 121

Answer key

  1. 50%
  2. 20%
  3. ₹640
  4. 5%
  5. 112
  6. 20%
  7. 30%
  8. 10%
  9. 270
  10. 20%
  11. 310
  12. ₹1584
  13. 30%
  14. 15%
  15. 5%
  16. 204
  17. 50
  18. 15%
  19. ₹520
  20. ₹300
  21. 15%
  22. 15%
  23. ₹480
  24. 10%
  25. 15%
  26. 20%
  27. 10%
  28. 30
  29. 50%
  30. 5%
  31. 10%
  32. 28
  33. ₹270
  34. 5%
  35. 46
  36. 25%
  37. 5%
  38. ₹1173
  39. ₹1003
  40. 120

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