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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 196 · 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 ₹720 and sells it for ₹576. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  2. 2.What is 75% of 580? (a) 145 (b) 435 (c) 870 (d) 4350
  3. 3.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
  4. 4.A bag marked ₹360 is sold at a 40% discount. What is its selling price? (a) ₹320 (b) ₹216 (c) ₹144 (d) ₹504
  5. 5.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
  7. 7.A bag marked ₹460 is sold at a 10% discount. What is its selling price? (a) ₹46 (b) ₹506 (c) ₹450 (d) ₹414
  8. 8.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 10% (b) 46% (c) 5% (d) 6%
  9. 9.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 56% (b) 25% (c) 15% (d) 20%
  10. 10.What is 5% of 580? (a) 551 (b) 29 (c) 58 (d) 290
  11. 11.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 10% (b) 34% (c) 6% (d) 5%
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 5%
  13. 13.A bag marked ₹520 is sold at a 15% discount. What is its selling price? (a) ₹442 (b) ₹598 (c) ₹78 (d) ₹505
  14. 14.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 93%
  15. 15.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹215 (b) ₹1075 (c) ₹835 (d) ₹645
  16. 16.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 92%
  17. 17.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 69% (b) 15% (c) 10% (d) 20%
  18. 18.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 25% (b) 20% (c) 26% (d) 30%
  19. 19.A bag marked ₹1780 is sold at a 50% discount. What is its selling price? (a) ₹2670 (b) ₹1730 (c) ₹891 (d) ₹890
  20. 20.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 26% (b) 5% (c) 6% (d) 10%
  21. 21.What is 75% of 540? (a) 4050 (b) 405 (c) 810 (d) 135
  22. 22.A bag marked ₹1700 is sold at a 40% discount. What is its selling price? (a) ₹680 (b) ₹2380 (c) ₹1020 (d) ₹1660
  23. 23.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 25% (b) 64% (c) 15% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 32% (b) 6% (c) 10% (d) 5%
  25. 25.What is 50% of 460? (a) 231 (b) 230 (c) 460 (d) 2300
  26. 26.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹600 and sells it for ₹420. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  28. 28.A bag marked ₹840 is sold at a 25% discount. What is its selling price? (a) ₹630 (b) ₹1050 (c) ₹210 (d) ₹815
  29. 29.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹1930 (b) ₹2134 (c) ₹1746 (d) ₹194
  30. 30.A bag marked ₹580 is sold at a 40% discount. What is its selling price? (a) ₹232 (b) ₹348 (c) ₹812 (d) ₹540
  31. 31.What is 20% of 780? (a) 1560 (b) 156 (c) 312 (d) 624
  32. 32.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 5%
  33. 33.A bag marked ₹1020 is sold at a 10% discount. What is its selling price? (a) ₹102 (b) ₹1122 (c) ₹918 (d) ₹1010
  34. 34.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹300 (b) ₹64 (c) ₹256 (d) ₹384
  35. 35.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  36. 36.What is 50% of 360? (a) 360 (b) 181 (c) 1800 (d) 180
  37. 37.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  39. 39.A shopkeeper buys a toy for ₹100 and sells it for ₹115. What is his profit percent? (a) 10% (b) 16% (c) 20% (d) 15%
  40. 40.What is 30% of 700? (a) 210 (b) 490 (c) 420 (d) 2100

Answer key

  1. 20%
  2. 435
  3. 40%
  4. ₹216
  5. 40%
  6. 25%
  7. ₹414
  8. 5%
  9. 20%
  10. 29
  11. 5%
  12. 10%
  13. ₹442
  14. 15%
  15. ₹645
  16. 10%
  17. 15%
  18. 25%
  19. ₹890
  20. 5%
  21. 405
  22. ₹1020
  23. 20%
  24. 5%
  25. 230
  26. 20%
  27. 30%
  28. ₹630
  29. ₹1746
  30. ₹348
  31. 156
  32. 10%
  33. ₹918
  34. ₹256
  35. 30%
  36. 180
  37. 25%
  38. 30%
  39. 15%
  40. 210

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