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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 614 · 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 ₹500 and sells it for ₹575. What is his profit percent? (a) 75% (b) 10% (c) 15% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹540 and sells it for ₹648. What is his profit percent? (a) 20% (b) 25% (c) 21% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  4. 4.What is 40% of 820? (a) 492 (b) 328 (c) 656 (d) 3280
  5. 5.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 10% (b) 6% (c) 30% (d) 5%
  6. 6.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  7. 7.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 30%
  8. 8.A bag marked ₹440 is sold at a 40% discount. What is its selling price? (a) ₹400 (b) ₹264 (c) ₹616 (d) ₹176
  9. 9.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  10. 10.What is 75% of 460? (a) 115 (b) 690 (c) 3450 (d) 345
  11. 11.A bag marked ₹1240 is sold at a 15% discount. What is its selling price? (a) ₹186 (b) ₹1426 (c) ₹1054 (d) ₹1225
  12. 12.A bag marked ₹1680 is sold at a 20% discount. What is its selling price? (a) ₹2016 (b) ₹1660 (c) ₹1344 (d) ₹336
  13. 13.A bag marked ₹980 is sold at a 10% discount. What is its selling price? (a) ₹98 (b) ₹882 (c) ₹970 (d) ₹1078
  14. 14.A shopkeeper buys a toy for ₹300 and sells it for ₹210. What is his loss percent? (a) 25% (b) 30% (c) 90% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 20%
  16. 16.A bag marked ₹1540 is sold at a 25% discount. What is its selling price? (a) ₹385 (b) ₹1925 (c) ₹1515 (d) ₹1155
  17. 17.What is 25% of 980? (a) 2450 (b) 735 (c) 245 (d) 490
  18. 18.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
  19. 19.A shopkeeper buys a toy for ₹420 and sells it for ₹336. What is his loss percent? (a) 25% (b) 15% (c) 84% (d) 20%
  20. 20.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 10% (b) 6% (c) 4% (d) 5%
  21. 21.What is 10% of 280? (a) 28 (b) 280 (c) 252 (d) 56
  22. 22.A shopkeeper buys a toy for ₹520 and sells it for ₹468. What is his loss percent? (a) 52% (b) 10% (c) 5% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 21% (b) 25% (c) 20% (d) 15%
  24. 24.What is 15% of 580? (a) 870 (b) 493 (c) 87 (d) 174
  25. 25.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 40% (b) 25% (c) 20% (d) 15%
  26. 26.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹312 (b) ₹1872 (c) ₹1540 (d) ₹1248
  27. 27.What is 20% of 940? (a) 376 (b) 752 (c) 1880 (d) 188
  28. 28.A shopkeeper buys a toy for ₹360 and sells it for ₹342. What is his loss percent? (a) 10% (b) 6% (c) 18% (d) 5%
  29. 29.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹1120 (b) ₹320 (c) ₹480 (d) ₹760
  30. 30.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 38% (b) 6% (c) 10% (d) 5%
  31. 31.What is 10% of 980? (a) 882 (b) 196 (c) 980 (d) 98
  32. 32.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹280. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 80%
  34. 34.What is 40% of 840? (a) 336 (b) 504 (c) 3360 (d) 672
  35. 35.A bag marked ₹660 is sold at a 30% discount. What is its selling price? (a) ₹630 (b) ₹198 (c) ₹462 (d) ₹858
  36. 36.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  37. 37.What is 75% of 420? (a) 105 (b) 630 (c) 315 (d) 3150
  38. 38.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 20%
  39. 39.What is 75% of 500? (a) 3750 (b) 375 (c) 125 (d) 750
  40. 40.What is 75% of 820? (a) 615 (b) 205 (c) 1230 (d) 6150

Answer key

  1. 15%
  2. 20%
  3. 20%
  4. 328
  5. 5%
  6. 25%
  7. 15%
  8. ₹264
  9. 25%
  10. 345
  11. ₹1054
  12. ₹1344
  13. ₹882
  14. 30%
  15. 15%
  16. ₹1155
  17. 245
  18. 40%
  19. 20%
  20. 5%
  21. 28
  22. 10%
  23. 20%
  24. 87
  25. 20%
  26. ₹1248
  27. 188
  28. 5%
  29. ₹480
  30. 5%
  31. 98
  32. 40%
  33. 40%
  34. 336
  35. ₹462
  36. 30%
  37. 315
  38. 10%
  39. 375
  40. 615

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