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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 965 · 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 ₹580 and sells it for ₹522. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 58%
  2. 2.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 25% (b) 28% (c) 15% (d) 20%
  3. 3.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  4. 4.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 30% (b) 20% (c) 10% (d) 15%
  5. 5.A bag marked ₹660 is sold at a 10% discount. What is its selling price? (a) ₹650 (b) ₹726 (c) ₹594 (d) ₹66
  6. 6.A shopkeeper buys a toy for ₹980 and sells it for ₹833. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
  7. 7.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 5% (b) 6% (c) 23% (d) 10%
  8. 8.What is 5% of 580? (a) 290 (b) 551 (c) 58 (d) 29
  9. 9.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 6% (b) 10% (c) 11% (d) 5%
  10. 10.What is 25% of 760? (a) 380 (b) 570 (c) 1900 (d) 190
  11. 11.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 29%
  12. 12.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 45% (b) 25% (c) 30% (d) 20%
  13. 13.What is 10% of 80? (a) 80 (b) 72 (c) 8 (d) 16
  14. 14.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹261 (b) ₹2001 (c) ₹1479 (d) ₹1725
  15. 15.A bag marked ₹400 is sold at a 30% discount. What is its selling price? (a) ₹120 (b) ₹370 (c) ₹280 (d) ₹520
  16. 16.What is 75% of 380? (a) 285 (b) 570 (c) 95 (d) 2850
  17. 17.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 15% (b) 10% (c) 18% (d) 20%
  18. 18.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 66% (b) 30% (c) 25% (d) 35%
  19. 19.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 30% (b) 25% (c) 60% (d) 20%
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 60% (b) 30% (c) 35% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
  22. 22.What is 30% of 220? (a) 66 (b) 132 (c) 660 (d) 154
  23. 23.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  24. 24.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  25. 25.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  26. 26.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  27. 27.A bag marked ₹1520 is sold at a 10% discount. What is its selling price? (a) ₹152 (b) ₹1368 (c) ₹1510 (d) ₹1672
  28. 28.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 34%
  29. 29.A shopkeeper buys a toy for ₹480 and sells it for ₹552. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 72%
  30. 30.What is 50% of 280? (a) 280 (b) 1400 (c) 141 (d) 140
  31. 31.What is 15% of 360? (a) 108 (b) 306 (c) 54 (d) 540
  32. 32.What is 30% of 40? (a) 28 (b) 12 (c) 120 (d) 24
  33. 33.A bag marked ₹1620 is sold at a 15% discount. What is its selling price? (a) ₹1377 (b) ₹243 (c) ₹1863 (d) ₹1605
  34. 34.What is 40% of 740? (a) 592 (b) 296 (c) 2960 (d) 444
  35. 35.A bag marked ₹860 is sold at a 10% discount. What is its selling price? (a) ₹850 (b) ₹86 (c) ₹946 (d) ₹774
  36. 36.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹600 and sells it for ₹900. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  38. 38.A bag marked ₹220 is sold at a 50% discount. What is its selling price? (a) ₹111 (b) ₹110 (c) ₹330 (d) ₹170
  39. 39.A bag marked ₹2000 is sold at a 50% discount. What is its selling price? (a) ₹3000 (b) ₹1000 (c) ₹1950 (d) ₹1001
  40. 40.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 33%

Answer key

  1. 10%
  2. 20%
  3. 30%
  4. 15%
  5. ₹594
  6. 15%
  7. 5%
  8. 29
  9. 5%
  10. 190
  11. 5%
  12. 25%
  13. 8
  14. ₹1479
  15. ₹280
  16. 285
  17. 15%
  18. 30%
  19. 25%
  20. 30%
  21. 25%
  22. 66
  23. 40%
  24. 20%
  25. 40%
  26. 30%
  27. ₹1368
  28. 5%
  29. 15%
  30. 140
  31. 54
  32. 12
  33. ₹1377
  34. 296
  35. ₹774
  36. 15%
  37. 50%
  38. ₹110
  39. ₹1000
  40. 15%

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