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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 94 · 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 bag marked ₹2000 is sold at a 25% discount. What is its selling price? (a) ₹1500 (b) ₹1975 (c) ₹500 (d) ₹2500
  2. 2.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  3. 3.A bag marked ₹2000 is sold at a 30% discount. What is its selling price? (a) ₹600 (b) ₹1400 (c) ₹1970 (d) ₹2600
  4. 4.A shopkeeper buys a toy for ₹800 and sells it for ₹1000. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  5. 5.What is 25% of 540? (a) 405 (b) 135 (c) 1350 (d) 270
  6. 6.What is 15% of 1000? (a) 850 (b) 150 (c) 300 (d) 1500
  7. 7.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹1410 (b) ₹1562 (c) ₹1278 (d) ₹142
  8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 6% (b) 10% (c) 30% (d) 5%
  9. 9.A shopkeeper buys a toy for ₹760 and sells it for ₹532. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 35% (b) 30% (c) 84% (d) 25%
  11. 11.A bag marked ₹1480 is sold at a 50% discount. What is its selling price? (a) ₹741 (b) ₹2220 (c) ₹740 (d) ₹1430
  12. 12.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 5% (b) 10% (c) 96% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹1170. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹420 and sells it for ₹441. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 21%
  16. 16.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 40%
  17. 17.What is 10% of 1000? (a) 1000 (b) 200 (c) 100 (d) 900
  18. 18.A bag marked ₹480 is sold at a 30% discount. What is its selling price? (a) ₹450 (b) ₹144 (c) ₹336 (d) ₹624
  19. 19.What is 40% of 860? (a) 516 (b) 3440 (c) 344 (d) 688
  20. 20.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 5% (b) 7% (c) 6% (d) 10%
  21. 21.What is 5% of 740? (a) 74 (b) 370 (c) 37 (d) 703
  22. 22.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 10% (b) 5% (c) 4% (d) 6%
  23. 23.What is 20% of 120? (a) 48 (b) 96 (c) 24 (d) 240
  24. 24.What is 50% of 540? (a) 2700 (b) 271 (c) 270 (d) 540
  25. 25.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  26. 26.What is 50% of 920? (a) 460 (b) 920 (c) 4600 (d) 461
  27. 27.What is 40% of 100? (a) 80 (b) 400 (c) 60 (d) 40
  28. 28.A bag marked ₹860 is sold at a 10% discount. What is its selling price? (a) ₹946 (b) ₹86 (c) ₹850 (d) ₹774
  29. 29.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 39%
  30. 30.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 11%
  31. 31.A bag marked ₹720 is sold at a 20% discount. What is its selling price? (a) ₹576 (b) ₹144 (c) ₹700 (d) ₹864
  32. 32.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 15% (b) 69% (c) 20% (d) 10%
  33. 33.What is 75% of 200? (a) 50 (b) 150 (c) 300 (d) 1500
  34. 34.A bag marked ₹1160 is sold at a 50% discount. What is its selling price? (a) ₹1740 (b) ₹581 (c) ₹580 (d) ₹1110
  35. 35.A bag marked ₹260 is sold at a 15% discount. What is its selling price? (a) ₹39 (b) ₹245 (c) ₹221 (d) ₹299
  36. 36.A shopkeeper buys a toy for ₹1000 and sells it for ₹700. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  37. 37.What is 10% of 400? (a) 400 (b) 360 (c) 80 (d) 40
  38. 38.What is 50% of 340? (a) 340 (b) 171 (c) 170 (d) 1700
  39. 39.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 15% (b) 5% (c) 56% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹960 and sells it for ₹1152. What is his profit percent? (a) 25% (b) 20% (c) 21% (d) 15%

Answer key

  1. ₹1500
  2. 20%
  3. ₹1400
  4. 25%
  5. 135
  6. 150
  7. ₹1278
  8. 5%
  9. 30%
  10. 30%
  11. ₹740
  12. 10%
  13. 30%
  14. 25%
  15. 5%
  16. 25%
  17. 100
  18. ₹336
  19. 344
  20. 5%
  21. 37
  22. 5%
  23. 24
  24. 270
  25. 20%
  26. 460
  27. 40
  28. ₹774
  29. 5%
  30. 10%
  31. ₹576
  32. 15%
  33. 150
  34. ₹580
  35. ₹221
  36. 30%
  37. 40
  38. 170
  39. 10%
  40. 20%

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