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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 636 · 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 ₹920 is sold at a 50% discount. What is its selling price? (a) ₹460 (b) ₹461 (c) ₹1380 (d) ₹870
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 5% (b) 43% (c) 6% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹740 and sells it for ₹1036. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  4. 4.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 18% (b) 15% (c) 20% (d) 10%
  5. 5.A bag marked ₹1220 is sold at a 10% discount. What is its selling price? (a) ₹1342 (b) ₹1098 (c) ₹1210 (d) ₹122
  6. 6.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 31% (b) 10% (c) 6% (d) 5%
  7. 7.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹748 (b) ₹612 (c) ₹670 (d) ₹68
  8. 8.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹2232 (b) ₹372 (c) ₹1488 (d) ₹1840
  9. 9.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 11% (b) 15% (c) 5% (d) 10%
  10. 10.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹551 (b) ₹550 (c) ₹1650 (d) ₹1050
  11. 11.A bag marked ₹1140 is sold at a 20% discount. What is its selling price? (a) ₹1120 (b) ₹1368 (c) ₹912 (d) ₹228
  12. 12.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  13. 13.What is 15% of 720? (a) 108 (b) 216 (c) 1080 (d) 612
  14. 14.What is 25% of 120? (a) 300 (b) 30 (c) 60 (d) 90
  15. 15.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 88% (b) 20% (c) 25% (d) 15%
  16. 16.What is 50% of 60? (a) 300 (b) 30 (c) 60 (d) 31
  17. 17.What is 60% of 420? (a) 504 (b) 252 (c) 168 (d) 2520
  18. 18.A bag marked ₹1880 is sold at a 40% discount. What is its selling price? (a) ₹2632 (b) ₹1128 (c) ₹752 (d) ₹1840
  19. 19.What is 50% of 820? (a) 411 (b) 410 (c) 4100 (d) 820
  20. 20.What is 20% of 860? (a) 1720 (b) 344 (c) 688 (d) 172
  21. 21.A bag marked ₹1020 is sold at a 50% discount. What is its selling price? (a) ₹970 (b) ₹511 (c) ₹510 (d) ₹1530
  22. 22.What is 30% of 620? (a) 186 (b) 1860 (c) 434 (d) 372
  23. 23.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 36%
  24. 24.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  25. 25.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  26. 26.What is 40% of 40? (a) 16 (b) 160 (c) 32 (d) 24
  27. 27.What is 30% of 500? (a) 350 (b) 150 (c) 300 (d) 1500
  28. 28.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 4% (b) 5% (c) 10% (d) 6%
  29. 29.A bag marked ₹1900 is sold at a 30% discount. What is its selling price? (a) ₹2470 (b) ₹1330 (c) ₹570 (d) ₹1870
  30. 30.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 29% (b) 10% (c) 6% (d) 5%
  31. 31.What is 40% of 560? (a) 2240 (b) 336 (c) 448 (d) 224
  32. 32.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  33. 33.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  34. 34.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 25% (b) 15% (c) 68% (d) 20%
  35. 35.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  36. 36.What is 20% of 680? (a) 544 (b) 136 (c) 272 (d) 1360
  37. 37.A bag marked ₹800 is sold at a 30% discount. What is its selling price? (a) ₹240 (b) ₹770 (c) ₹560 (d) ₹1040
  38. 38.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 10% (b) 88% (c) 5% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  40. 40.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%

Answer key

  1. ₹460
  2. 5%
  3. 40%
  4. 15%
  5. ₹1098
  6. 5%
  7. ₹612
  8. ₹1488
  9. 10%
  10. ₹550
  11. ₹912
  12. 15%
  13. 108
  14. 30
  15. 20%
  16. 30
  17. 252
  18. ₹1128
  19. 410
  20. 172
  21. ₹510
  22. 186
  23. 30%
  24. 50%
  25. 40%
  26. 16
  27. 150
  28. 5%
  29. ₹1330
  30. 5%
  31. 224
  32. 40%
  33. 25%
  34. 20%
  35. 30%
  36. 136
  37. ₹560
  38. 10%
  39. 25%
  40. 30%

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