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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 937 · 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 ₹980 and sells it for ₹833. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹754. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  3. 3.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 6% (b) 38% (c) 5% (d) 10%
  4. 4.What is 5% of 1000? (a) 50 (b) 500 (c) 100 (d) 950
  5. 5.What is 15% of 1000? (a) 850 (b) 150 (c) 1500 (d) 300
  6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹280. What is his profit percent? (a) 45% (b) 80% (c) 35% (d) 40%
  7. 7.A shopkeeper buys a toy for ₹520 and sells it for ₹572. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 52%
  8. 8.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 28%
  9. 9.What is 10% of 500? (a) 50 (b) 100 (c) 500 (d) 450
  10. 10.A shopkeeper buys a toy for ₹460 and sells it for ₹368. What is his loss percent? (a) 20% (b) 92% (c) 15% (d) 25%
  11. 11.A shopkeeper buys a toy for ₹900 and sells it for ₹765. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%
  12. 12.A bag marked ₹620 is sold at a 50% discount. What is its selling price? (a) ₹930 (b) ₹311 (c) ₹570 (d) ₹310
  13. 13.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 64%
  14. 14.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹989 (b) ₹129 (c) ₹731 (d) ₹845
  15. 15.A shopkeeper buys a toy for ₹660 and sells it for ₹396. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 41%
  16. 16.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 10% (b) 20% (c) 57% (d) 15%
  17. 17.What is 5% of 620? (a) 310 (b) 589 (c) 62 (d) 31
  18. 18.A bag marked ₹1620 is sold at a 40% discount. What is its selling price? (a) ₹1580 (b) ₹648 (c) ₹972 (d) ₹2268
  19. 19.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  20. 20.A bag marked ₹1460 is sold at a 15% discount. What is its selling price? (a) ₹1679 (b) ₹1445 (c) ₹1241 (d) ₹219
  21. 21.What is 5% of 700? (a) 350 (b) 665 (c) 35 (d) 70
  22. 22.A shopkeeper buys a toy for ₹840 and sells it for ₹672. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  23. 23.A bag marked ₹980 is sold at a 25% discount. What is its selling price? (a) ₹1225 (b) ₹955 (c) ₹735 (d) ₹245
  24. 24.A shopkeeper buys a toy for ₹600 and sells it for ₹540. What is his loss percent? (a) 60% (b) 15% (c) 5% (d) 10%
  25. 25.A bag marked ₹2000 is sold at a 30% discount. What is its selling price? (a) ₹1400 (b) ₹1970 (c) ₹600 (d) ₹2600
  26. 26.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 5% (b) 15% (c) 40% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 52%
  28. 28.What is 75% of 120? (a) 90 (b) 180 (c) 30 (d) 900
  29. 29.A bag marked ₹1180 is sold at a 25% discount. What is its selling price? (a) ₹295 (b) ₹1155 (c) ₹1475 (d) ₹885
  30. 30.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 10% (b) 42% (c) 6% (d) 5%
  31. 31.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  32. 32.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 38% (b) 5% (c) 10% (d) 15%
  33. 33.A bag marked ₹500 is sold at a 30% discount. What is its selling price? (a) ₹150 (b) ₹350 (c) ₹650 (d) ₹470
  34. 34.A bag marked ₹920 is sold at a 40% discount. What is its selling price? (a) ₹368 (b) ₹1288 (c) ₹552 (d) ₹880
  35. 35.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 80%
  36. 36.What is 75% of 420? (a) 630 (b) 105 (c) 315 (d) 3150
  37. 37.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹1440 (b) ₹592 (c) ₹2072 (d) ₹888
  38. 38.A bag marked ₹1980 is sold at a 20% discount. What is its selling price? (a) ₹1960 (b) ₹396 (c) ₹1584 (d) ₹2376
  39. 39.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 45%
  40. 40.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%

Answer key

  1. 15%
  2. 30%
  3. 5%
  4. 50
  5. 150
  6. 40%
  7. 10%
  8. 5%
  9. 50
  10. 20%
  11. 15%
  12. ₹310
  13. 10%
  14. ₹731
  15. 40%
  16. 15%
  17. 31
  18. ₹972
  19. 15%
  20. ₹1241
  21. 35
  22. 20%
  23. ₹735
  24. 10%
  25. ₹1400
  26. 10%
  27. 20%
  28. 90
  29. ₹885
  30. 5%
  31. 15%
  32. 10%
  33. ₹350
  34. ₹552
  35. 10%
  36. 315
  37. ₹888
  38. ₹1584
  39. 5%
  40. 40%

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