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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 286 · 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 ₹800 and sells it for ₹760. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 40%
  2. 2.A shopkeeper buys a toy for ₹360 and sells it for ₹342. What is his loss percent? (a) 6% (b) 10% (c) 18% (d) 5%
  3. 3.What is 50% of 480? (a) 241 (b) 240 (c) 480 (d) 2400
  4. 4.A shopkeeper buys a toy for ₹580 and sells it for ₹725. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  5. 5.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  6. 6.What is 20% of 220? (a) 88 (b) 44 (c) 440 (d) 176
  7. 7.A bag marked ₹220 is sold at a 50% discount. What is its selling price? (a) ₹111 (b) ₹330 (c) ₹110 (d) ₹170
  8. 8.A bag marked ₹1980 is sold at a 30% discount. What is its selling price? (a) ₹1386 (b) ₹594 (c) ₹2574 (d) ₹1950
  9. 9.What is 15% of 80? (a) 120 (b) 24 (c) 12 (d) 68
  10. 10.What is 50% of 120? (a) 120 (b) 61 (c) 60 (d) 600
  11. 11.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 40% (b) 72% (c) 45% (d) 35%
  12. 12.What is 10% of 320? (a) 64 (b) 320 (c) 32 (d) 288
  13. 13.A shopkeeper buys a toy for ₹380 and sells it for ₹361. What is his loss percent? (a) 5% (b) 10% (c) 19% (d) 6%
  14. 14.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  15. 15.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹2210 (b) ₹1670 (c) ₹510 (d) ₹1190
  16. 16.What is 50% of 320? (a) 160 (b) 320 (c) 161 (d) 1600
  17. 17.A shopkeeper buys a toy for ₹700 and sells it for ₹525. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  20. 20.What is 25% of 140? (a) 350 (b) 105 (c) 70 (d) 35
  21. 21.A shopkeeper buys a toy for ₹740 and sells it for ₹703. What is his loss percent? (a) 10% (b) 5% (c) 37% (d) 6%
  22. 22.What is 30% of 680? (a) 408 (b) 476 (c) 2040 (d) 204
  23. 23.What is 10% of 780? (a) 702 (b) 78 (c) 780 (d) 156
  24. 24.What is 10% of 300? (a) 270 (b) 30 (c) 300 (d) 60
  25. 25.What is 75% of 460? (a) 115 (b) 690 (c) 3450 (d) 345
  26. 26.A shopkeeper buys a toy for ₹640 and sells it for ₹448. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  27. 27.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  28. 28.A bag marked ₹420 is sold at a 50% discount. What is its selling price? (a) ₹210 (b) ₹630 (c) ₹211 (d) ₹370
  29. 29.What is 40% of 580? (a) 348 (b) 232 (c) 2320 (d) 464
  30. 30.What is 75% of 820? (a) 6150 (b) 1230 (c) 205 (d) 615
  31. 31.A bag marked ₹660 is sold at a 50% discount. What is its selling price? (a) ₹610 (b) ₹990 (c) ₹331 (d) ₹330
  32. 32.What is 25% of 280? (a) 210 (b) 700 (c) 140 (d) 70
  33. 33.What is 75% of 360? (a) 2700 (b) 90 (c) 540 (d) 270
  34. 34.A shopkeeper buys a toy for ₹440 and sells it for ₹396. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 44%
  35. 35.A bag marked ₹980 is sold at a 25% discount. What is its selling price? (a) ₹955 (b) ₹245 (c) ₹735 (d) ₹1225
  36. 36.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹408 (b) ₹320 (c) ₹272 (d) ₹68
  37. 37.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 27% (b) 20% (c) 10% (d) 15%
  38. 38.What is 60% of 420? (a) 2520 (b) 252 (c) 504 (d) 168
  39. 39.A shopkeeper buys a toy for ₹980 and sells it for ₹1176. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  40. 40.A bag marked ₹1580 is sold at a 15% discount. What is its selling price? (a) ₹1565 (b) ₹1817 (c) ₹1343 (d) ₹237

Answer key

  1. 5%
  2. 5%
  3. 240
  4. 25%
  5. 30%
  6. 44
  7. ₹110
  8. ₹1386
  9. 12
  10. 60
  11. 40%
  12. 32
  13. 5%
  14. 40%
  15. ₹1190
  16. 160
  17. 25%
  18. 15%
  19. 30%
  20. 35
  21. 5%
  22. 204
  23. 78
  24. 30
  25. 345
  26. 30%
  27. 40%
  28. ₹210
  29. 232
  30. 615
  31. ₹330
  32. 70
  33. 270
  34. 10%
  35. ₹735
  36. ₹272
  37. 15%
  38. 252
  39. 20%
  40. ₹1343

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