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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 598 · 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 ₹180 and sells it for ₹216. What is his profit percent? (a) 25% (b) 15% (c) 36% (d) 20%
  2. 2.A bag marked ₹440 is sold at a 40% discount. What is its selling price? (a) ₹264 (b) ₹616 (c) ₹400 (d) ₹176
  3. 3.What is 5% of 920? (a) 874 (b) 46 (c) 92 (d) 460
  4. 4.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 15% (b) 10% (c) 54% (d) 5%
  5. 5.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 85% (b) 30% (c) 20% (d) 25%
  6. 6.What is 15% of 840? (a) 126 (b) 252 (c) 714 (d) 1260
  7. 7.A bag marked ₹1920 is sold at a 50% discount. What is its selling price? (a) ₹1870 (b) ₹960 (c) ₹2880 (d) ₹961
  8. 8.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹529 (b) ₹391 (c) ₹69 (d) ₹445
  9. 9.A shopkeeper buys a toy for ₹940 and sells it for ₹1222. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  10. 10.What is 25% of 580? (a) 145 (b) 435 (c) 1450 (d) 290
  11. 11.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 15% (b) 10% (c) 57% (d) 20%
  12. 12.A bag marked ₹1720 is sold at a 15% discount. What is its selling price? (a) ₹1978 (b) ₹1705 (c) ₹258 (d) ₹1462
  13. 13.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  14. 14.A shopkeeper buys a toy for ₹540 and sells it for ₹675. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  15. 15.What is 25% of 180? (a) 450 (b) 135 (c) 90 (d) 45
  16. 16.What is 75% of 260? (a) 1950 (b) 65 (c) 390 (d) 195
  17. 17.What is 25% of 380? (a) 190 (b) 95 (c) 285 (d) 950
  18. 18.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 15% (b) 98% (c) 10% (d) 5%
  19. 19.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 10% (b) 35% (c) 6% (d) 5%
  20. 20.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 10% (b) 6% (c) 43% (d) 5%
  21. 21.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹500 (b) ₹300 (c) ₹375 (d) ₹100
  22. 22.What is 30% of 300? (a) 900 (b) 90 (c) 180 (d) 210
  23. 23.What is 10% of 60? (a) 54 (b) 6 (c) 12 (d) 60
  24. 24.What is 60% of 840? (a) 1008 (b) 5040 (c) 504 (d) 336
  25. 25.A shopkeeper buys a toy for ₹680 and sells it for ₹816. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  26. 26.What is 40% of 360? (a) 288 (b) 144 (c) 216 (d) 1440
  27. 27.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  28. 28.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 10% (b) 5% (c) 8% (d) 6%
  29. 29.A shopkeeper buys a toy for ₹320 and sells it for ₹368. What is his profit percent? (a) 10% (b) 48% (c) 15% (d) 20%
  30. 30.What is 60% of 980? (a) 5880 (b) 392 (c) 1176 (d) 588
  31. 31.A bag marked ₹580 is sold at a 25% discount. What is its selling price? (a) ₹725 (b) ₹435 (c) ₹555 (d) ₹145
  32. 32.A bag marked ₹1260 is sold at a 10% discount. What is its selling price? (a) ₹1386 (b) ₹1134 (c) ₹126 (d) ₹1250
  33. 33.What is 15% of 380? (a) 570 (b) 323 (c) 114 (d) 57
  34. 34.A bag marked ₹1440 is sold at a 25% discount. What is its selling price? (a) ₹1080 (b) ₹360 (c) ₹1800 (d) ₹1415
  35. 35.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  36. 36.What is 25% of 120? (a) 90 (b) 60 (c) 300 (d) 30
  37. 37.What is 50% of 280? (a) 1400 (b) 280 (c) 141 (d) 140
  38. 38.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹380 and sells it for ₹456. What is his profit percent? (a) 76% (b) 25% (c) 15% (d) 20%
  40. 40.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%

Answer key

  1. 20%
  2. ₹264
  3. 46
  4. 10%
  5. 25%
  6. 126
  7. ₹960
  8. ₹391
  9. 30%
  10. 145
  11. 15%
  12. ₹1462
  13. 40%
  14. 25%
  15. 45
  16. 195
  17. 95
  18. 10%
  19. 5%
  20. 5%
  21. ₹300
  22. 90
  23. 6
  24. 504
  25. 20%
  26. 144
  27. 30%
  28. 5%
  29. 15%
  30. 588
  31. ₹435
  32. ₹1134
  33. 57
  34. ₹1080
  35. 25%
  36. 30
  37. 140
  38. 20%
  39. 20%
  40. 20%

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