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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 226 · 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 ₹1800 is sold at a 25% discount. What is its selling price? (a) ₹2250 (b) ₹450 (c) ₹1350 (d) ₹1775
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  4. 4.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 46%
  5. 5.What is 5% of 180? (a) 18 (b) 90 (c) 171 (d) 9
  6. 6.What is 5% of 480? (a) 456 (b) 24 (c) 48 (d) 240
  7. 7.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 10% (b) 20% (c) 18% (d) 15%
  8. 8.A bag marked ₹1660 is sold at a 50% discount. What is its selling price? (a) ₹831 (b) ₹2490 (c) ₹830 (d) ₹1610
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  10. 10.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹1430 (b) ₹438 (c) ₹1898 (d) ₹1022
  11. 11.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  12. 12.What is 10% of 500? (a) 450 (b) 500 (c) 50 (d) 100
  13. 13.What is 40% of 820? (a) 492 (b) 328 (c) 3280 (d) 656
  14. 14.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 32%
  15. 15.A bag marked ₹1900 is sold at a 10% discount. What is its selling price? (a) ₹1890 (b) ₹190 (c) ₹2090 (d) ₹1710
  16. 16.What is 5% of 600? (a) 570 (b) 60 (c) 300 (d) 30
  17. 17.A bag marked ₹1540 is sold at a 20% discount. What is its selling price? (a) ₹1232 (b) ₹1520 (c) ₹308 (d) ₹1848
  18. 18.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%
  19. 19.A shopkeeper buys a toy for ₹1000 and sells it for ₹600. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  20. 20.A shopkeeper buys a toy for ₹380 and sells it for ₹361. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 19%
  21. 21.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 15% (b) 21% (c) 25% (d) 20%
  22. 22.A bag marked ₹300 is sold at a 15% discount. What is its selling price? (a) ₹45 (b) ₹345 (c) ₹285 (d) ₹255
  23. 23.What is 5% of 580? (a) 58 (b) 551 (c) 290 (d) 29
  24. 24.What is 25% of 120? (a) 60 (b) 30 (c) 90 (d) 300
  25. 25.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 34% (b) 10% (c) 5% (d) 6%
  26. 26.What is 20% of 180? (a) 144 (b) 72 (c) 36 (d) 360
  27. 27.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  28. 28.What is 20% of 160? (a) 64 (b) 32 (c) 320 (d) 128
  29. 29.A bag marked ₹1460 is sold at a 50% discount. What is its selling price? (a) ₹1410 (b) ₹730 (c) ₹2190 (d) ₹731
  30. 30.A bag marked ₹1740 is sold at a 40% discount. What is its selling price? (a) ₹1700 (b) ₹2436 (c) ₹696 (d) ₹1044
  31. 31.A shopkeeper buys a toy for ₹900 and sells it for ₹1080. What is his profit percent? (a) 20% (b) 25% (c) 21% (d) 15%
  32. 32.A shopkeeper buys a toy for ₹620 and sells it for ₹651. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 31%
  33. 33.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 30%
  34. 34.What is 15% of 260? (a) 78 (b) 390 (c) 39 (d) 221
  35. 35.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  36. 36.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 15% (b) 81% (c) 10% (d) 20%
  37. 37.What is 40% of 580? (a) 348 (b) 2320 (c) 232 (d) 464
  38. 38.A bag marked ₹1780 is sold at a 15% discount. What is its selling price? (a) ₹1513 (b) ₹1765 (c) ₹2047 (d) ₹267
  39. 39.What is 25% of 500? (a) 375 (b) 125 (c) 250 (d) 1250
  40. 40.A bag marked ₹1360 is sold at a 25% discount. What is its selling price? (a) ₹1335 (b) ₹1020 (c) ₹340 (d) ₹1700

Answer key

  1. ₹1350
  2. 30%
  3. 40%
  4. 10%
  5. 9
  6. 24
  7. 15%
  8. ₹830
  9. 40%
  10. ₹1022
  11. 30%
  12. 50
  13. 328
  14. 10%
  15. ₹1710
  16. 30
  17. ₹1232
  18. 30%
  19. 40%
  20. 5%
  21. 20%
  22. ₹255
  23. 29
  24. 30
  25. 5%
  26. 36
  27. 40%
  28. 32
  29. ₹730
  30. ₹1044
  31. 20%
  32. 5%
  33. 15%
  34. 39
  35. 40%
  36. 15%
  37. 232
  38. ₹1513
  39. 125
  40. ₹1020

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