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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 147 · 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 ₹140 and sells it for ₹126. What is his loss percent? (a) 10% (b) 14% (c) 5% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹760 and sells it for ₹646. What is his loss percent? (a) 15% (b) 16% (c) 20% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 13%
  4. 4.A bag marked ₹340 is sold at a 25% discount. What is its selling price? (a) ₹85 (b) ₹315 (c) ₹425 (d) ₹255
  5. 5.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  6. 6.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 25% (b) 78% (c) 30% (d) 35%
  7. 7.A bag marked ₹660 is sold at a 30% discount. What is its selling price? (a) ₹630 (b) ₹858 (c) ₹198 (d) ₹462
  8. 8.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  9. 9.A shopkeeper buys a toy for ₹880 and sells it for ₹1056. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%
  10. 10.A bag marked ₹1360 is sold at a 30% discount. What is its selling price? (a) ₹952 (b) ₹1768 (c) ₹1330 (d) ₹408
  11. 11.A shopkeeper buys a toy for ₹360 and sells it for ₹432. What is his profit percent? (a) 25% (b) 15% (c) 72% (d) 20%
  12. 12.A shopkeeper buys a toy for ₹520 and sells it for ₹572. What is his profit percent? (a) 52% (b) 5% (c) 10% (d) 15%
  13. 13.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 36%
  14. 14.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 10% (b) 6% (c) 9% (d) 5%
  16. 16.What is 5% of 660? (a) 627 (b) 33 (c) 330 (d) 66
  17. 17.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹810 (b) ₹902 (c) ₹738 (d) ₹82
  18. 18.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  19. 19.A bag marked ₹1460 is sold at a 10% discount. What is its selling price? (a) ₹1314 (b) ₹1450 (c) ₹146 (d) ₹1606
  20. 20.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 84%
  21. 21.A shopkeeper buys a toy for ₹800 and sells it for ₹1040. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 24% (b) 5% (c) 15% (d) 10%
  24. 24.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹770 (b) ₹2310 (c) ₹771 (d) ₹1490
  25. 25.What is 60% of 880? (a) 352 (b) 528 (c) 5280 (d) 1056
  26. 26.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 11% (b) 5% (c) 10% (d) 6%
  27. 27.A bag marked ₹400 is sold at a 15% discount. What is its selling price? (a) ₹60 (b) ₹460 (c) ₹340 (d) ₹385
  28. 28.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  29. 29.What is 15% of 580? (a) 87 (b) 870 (c) 174 (d) 493
  30. 30.What is 10% of 760? (a) 152 (b) 76 (c) 684 (d) 760
  31. 31.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  32. 32.A shopkeeper buys a toy for ₹580 and sells it for ₹754. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  33. 33.A bag marked ₹1340 is sold at a 15% discount. What is its selling price? (a) ₹1541 (b) ₹1139 (c) ₹1325 (d) ₹201
  34. 34.A bag marked ₹540 is sold at a 15% discount. What is its selling price? (a) ₹81 (b) ₹621 (c) ₹459 (d) ₹525
  35. 35.What is 5% of 640? (a) 32 (b) 64 (c) 320 (d) 608
  36. 36.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 20% (b) 30% (c) 40% (d) 25%
  37. 37.What is 10% of 400? (a) 40 (b) 80 (c) 400 (d) 360
  38. 38.What is 20% of 320? (a) 256 (b) 64 (c) 640 (d) 128
  39. 39.A shopkeeper buys a toy for ₹820 and sells it for ₹1066. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  40. 40.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹438 (b) ₹1898 (c) ₹1430 (d) ₹1022

Answer key

  1. 10%
  2. 15%
  3. 5%
  4. ₹255
  5. 40%
  6. 30%
  7. ₹462
  8. 20%
  9. 20%
  10. ₹952
  11. 20%
  12. 10%
  13. 20%
  14. 30%
  15. 5%
  16. 33
  17. ₹738
  18. 25%
  19. ₹1314
  20. 15%
  21. 30%
  22. 30%
  23. 10%
  24. ₹770
  25. 528
  26. 5%
  27. ₹340
  28. 20%
  29. 87
  30. 76
  31. 50%
  32. 30%
  33. ₹1139
  34. ₹459
  35. 32
  36. 25%
  37. 40
  38. 64
  39. 30%
  40. ₹1022

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