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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 242 · 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 50% discount. What is its selling price? (a) ₹510 (b) ₹511 (c) ₹1530 (d) ₹970
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  3. 3.A bag marked ₹1480 is sold at a 30% discount. What is its selling price? (a) ₹1450 (b) ₹1036 (c) ₹444 (d) ₹1924
  4. 4.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 9%
  5. 5.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 50%
  6. 6.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 35% (b) 48% (c) 45% (d) 40%
  7. 7.A shopkeeper buys a toy for ₹260 and sells it for ₹208. What is his loss percent? (a) 15% (b) 52% (c) 20% (d) 25%
  8. 8.What is 50% of 340? (a) 171 (b) 1700 (c) 340 (d) 170
  9. 9.What is 30% of 200? (a) 140 (b) 60 (c) 600 (d) 120
  10. 10.A bag marked ₹840 is sold at a 50% discount. What is its selling price? (a) ₹790 (b) ₹420 (c) ₹421 (d) ₹1260
  11. 11.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 20% (b) 85% (c) 30% (d) 25%
  12. 12.A bag marked ₹1520 is sold at a 15% discount. What is its selling price? (a) ₹1505 (b) ₹1748 (c) ₹1292 (d) ₹228
  13. 13.A bag marked ₹580 is sold at a 10% discount. What is its selling price? (a) ₹522 (b) ₹638 (c) ₹570 (d) ₹58
  14. 14.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  15. 15.A bag marked ₹1820 is sold at a 10% discount. What is its selling price? (a) ₹182 (b) ₹1810 (c) ₹1638 (d) ₹2002
  16. 16.A bag marked ₹520 is sold at a 30% discount. What is its selling price? (a) ₹364 (b) ₹676 (c) ₹490 (d) ₹156
  17. 17.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  18. 18.What is 25% of 940? (a) 470 (b) 235 (c) 705 (d) 2350
  19. 19.A bag marked ₹760 is sold at a 30% discount. What is its selling price? (a) ₹730 (b) ₹988 (c) ₹228 (d) ₹532
  20. 20.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹620 and sells it for ₹372. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  22. 22.What is 25% of 920? (a) 690 (b) 230 (c) 2300 (d) 460
  23. 23.What is 60% of 580? (a) 232 (b) 3480 (c) 696 (d) 348
  24. 24.What is 5% of 520? (a) 494 (b) 26 (c) 260 (d) 52
  25. 25.A shopkeeper buys a toy for ₹980 and sells it for ₹931. What is his loss percent? (a) 49% (b) 10% (c) 6% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 36%
  27. 27.What is 5% of 600? (a) 30 (b) 60 (c) 570 (d) 300
  28. 28.A shopkeeper buys a toy for ₹660 and sells it for ₹825. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  29. 29.What is 75% of 880? (a) 220 (b) 1320 (c) 6600 (d) 660
  30. 30.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 5% (b) 32% (c) 6% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹720 and sells it for ₹540. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
  32. 32.What is 15% of 960? (a) 288 (b) 816 (c) 1440 (d) 144
  33. 33.A bag marked ₹1680 is sold at a 25% discount. What is its selling price? (a) ₹2100 (b) ₹420 (c) ₹1260 (d) ₹1655
  34. 34.What is 10% of 80? (a) 16 (b) 8 (c) 80 (d) 72
  35. 35.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 10% (b) 48% (c) 5% (d) 15%
  36. 36.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹1224 (b) ₹1496 (c) ₹136 (d) ₹1350
  37. 37.What is 20% of 380? (a) 304 (b) 152 (c) 760 (d) 76
  38. 38.What is 50% of 300? (a) 150 (b) 1500 (c) 151 (d) 300
  39. 39.A bag marked ₹1100 is sold at a 30% discount. What is its selling price? (a) ₹330 (b) ₹1070 (c) ₹1430 (d) ₹770
  40. 40.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 28%

Answer key

  1. ₹510
  2. 25%
  3. ₹1036
  4. 5%
  5. 5%
  6. 40%
  7. 20%
  8. 170
  9. 60
  10. ₹420
  11. 25%
  12. ₹1292
  13. ₹522
  14. 40%
  15. ₹1638
  16. ₹364
  17. 50%
  18. 235
  19. ₹532
  20. 25%
  21. 40%
  22. 230
  23. 348
  24. 26
  25. 5%
  26. 10%
  27. 30
  28. 25%
  29. 660
  30. 5%
  31. 25%
  32. 144
  33. ₹1260
  34. 8
  35. 10%
  36. ₹1224
  37. 76
  38. 150
  39. ₹770
  40. 20%

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