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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 252 · 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 ₹1020 is sold at a 25% discount. What is its selling price? (a) ₹1275 (b) ₹765 (c) ₹255 (d) ₹995
  2. 2.What is 20% of 740? (a) 592 (b) 1480 (c) 148 (d) 296
  3. 3.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  4. 4.What is 60% of 460? (a) 552 (b) 276 (c) 184 (d) 2760
  5. 5.What is 5% of 900? (a) 45 (b) 855 (c) 90 (d) 450
  6. 6.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 25% (b) 21% (c) 15% (d) 20%
  7. 7.What is 40% of 320? (a) 192 (b) 128 (c) 256 (d) 1280
  8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  10. 10.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 32%
  11. 11.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 30% (b) 25% (c) 35% (d) 31%
  12. 12.A shopkeeper buys a toy for ₹660 and sells it for ₹759. What is his profit percent? (a) 20% (b) 99% (c) 10% (d) 15%
  13. 13.What is 40% of 600? (a) 240 (b) 360 (c) 480 (d) 2400
  14. 14.What is 30% of 880? (a) 2640 (b) 616 (c) 264 (d) 528
  15. 15.What is 10% of 280? (a) 252 (b) 280 (c) 56 (d) 28
  16. 16.A shopkeeper buys a toy for ₹800 and sells it for ₹840. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 40%
  17. 17.A shopkeeper buys a toy for ₹180 and sells it for ₹153. What is his loss percent? (a) 20% (b) 10% (c) 27% (d) 15%
  18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 4% (b) 6% (c) 5% (d) 10%
  19. 19.A bag marked ₹580 is sold at a 50% discount. What is its selling price? (a) ₹530 (b) ₹290 (c) ₹291 (d) ₹870
  20. 20.A bag marked ₹920 is sold at a 40% discount. What is its selling price? (a) ₹1288 (b) ₹880 (c) ₹552 (d) ₹368
  21. 21.What is 5% of 460? (a) 437 (b) 46 (c) 23 (d) 230
  22. 22.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 26% (b) 5% (c) 10% (d) 15%
  23. 23.What is 40% of 380? (a) 152 (b) 1520 (c) 304 (d) 228
  24. 24.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹391 (b) ₹529 (c) ₹69 (d) ₹445
  25. 25.What is 10% of 300? (a) 30 (b) 60 (c) 270 (d) 300
  26. 26.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 30% (b) 66% (c) 25% (d) 35%
  27. 27.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  28. 28.What is 40% of 700? (a) 560 (b) 420 (c) 280 (d) 2800
  29. 29.A bag marked ₹1000 is sold at a 25% discount. What is its selling price? (a) ₹1250 (b) ₹975 (c) ₹750 (d) ₹250
  30. 30.What is 75% of 220? (a) 55 (b) 330 (c) 1650 (d) 165
  31. 31.What is 60% of 120? (a) 720 (b) 72 (c) 48 (d) 144
  32. 32.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 57% (b) 20% (c) 10% (d) 15%
  33. 33.A bag marked ₹1680 is sold at a 50% discount. What is its selling price? (a) ₹1630 (b) ₹2520 (c) ₹840 (d) ₹841
  34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  35. 35.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 10% (b) 4% (c) 5% (d) 6%
  36. 36.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 24%
  37. 37.A shopkeeper buys a toy for ₹340 and sells it for ₹391. What is his profit percent? (a) 10% (b) 15% (c) 51% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹800 and sells it for ₹1000. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  39. 39.What is 10% of 820? (a) 820 (b) 164 (c) 738 (d) 82
  40. 40.A shopkeeper buys a toy for ₹520 and sells it for ₹624. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%

Answer key

  1. ₹765
  2. 148
  3. 30%
  4. 276
  5. 45
  6. 20%
  7. 128
  8. 25%
  9. 40%
  10. 10%
  11. 30%
  12. 15%
  13. 240
  14. 264
  15. 28
  16. 5%
  17. 15%
  18. 5%
  19. ₹290
  20. ₹552
  21. 23
  22. 10%
  23. 152
  24. ₹391
  25. 30
  26. 30%
  27. 25%
  28. 280
  29. ₹750
  30. 165
  31. 72
  32. 15%
  33. ₹840
  34. 40%
  35. 5%
  36. 10%
  37. 15%
  38. 25%
  39. 82
  40. 20%

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