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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 16 · 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 ₹400 and sells it for ₹360. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 40%
  2. 2.A shopkeeper buys a toy for ₹540 and sells it for ₹756. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  3. 3.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  4. 4.A bag marked ₹520 is sold at a 25% discount. What is its selling price? (a) ₹650 (b) ₹495 (c) ₹390 (d) ₹130
  5. 5.What is 50% of 140? (a) 71 (b) 140 (c) 70 (d) 700
  6. 6.A shopkeeper buys a toy for ₹600 and sells it for ₹540. What is his loss percent? (a) 60% (b) 15% (c) 5% (d) 10%
  7. 7.What is 30% of 920? (a) 2760 (b) 276 (c) 552 (d) 644
  8. 8.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹84 (b) ₹400 (c) ₹336 (d) ₹504
  9. 9.A shopkeeper buys a toy for ₹500 and sells it for ₹650. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  10. 10.What is 60% of 500? (a) 3000 (b) 300 (c) 600 (d) 200
  11. 11.What is 25% of 680? (a) 340 (b) 170 (c) 1700 (d) 510
  12. 12.What is 75% of 560? (a) 140 (b) 4200 (c) 420 (d) 840
  13. 13.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹765 (b) ₹897 (c) ₹117 (d) ₹663
  14. 14.What is 10% of 180? (a) 36 (b) 162 (c) 180 (d) 18
  15. 15.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 10% (b) 6% (c) 45% (d) 5%
  16. 16.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  17. 17.What is 20% of 80? (a) 160 (b) 32 (c) 16 (d) 64
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 25% (b) 26% (c) 20% (d) 30%
  19. 19.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%
  20. 20.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 36% (b) 15% (c) 20% (d) 10%
  21. 21.What is 30% of 520? (a) 1560 (b) 312 (c) 364 (d) 156
  22. 22.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 15% (b) 20% (c) 5% (d) 10%
  23. 23.What is 60% of 520? (a) 624 (b) 312 (c) 208 (d) 3120
  24. 24.A shopkeeper buys a toy for ₹940 and sells it for ₹1410. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  25. 25.A bag marked ₹1260 is sold at a 50% discount. What is its selling price? (a) ₹1210 (b) ₹630 (c) ₹1890 (d) ₹631
  26. 26.A shopkeeper buys a toy for ₹660 and sells it for ₹528. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 15% (b) 5% (c) 74% (d) 10%
  28. 28.A bag marked ₹1640 is sold at a 20% discount. What is its selling price? (a) ₹1968 (b) ₹1620 (c) ₹328 (d) ₹1312
  29. 29.What is 5% of 180? (a) 171 (b) 90 (c) 18 (d) 9
  30. 30.What is 60% of 900? (a) 5400 (b) 360 (c) 1080 (d) 540
  31. 31.What is 75% of 340? (a) 255 (b) 85 (c) 510 (d) 2550
  32. 32.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹33 (b) ₹205 (c) ₹253 (d) ₹187
  33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹550. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 50%
  34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  35. 35.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 13%
  36. 36.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 10% (b) 6% (c) 50% (d) 5%
  37. 37.A bag marked ₹220 is sold at a 50% discount. What is its selling price? (a) ₹170 (b) ₹111 (c) ₹330 (d) ₹110
  38. 38.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 31%
  39. 39.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 18% (b) 10% (c) 6% (d) 5%
  40. 40.A bag marked ₹1160 is sold at a 15% discount. What is its selling price? (a) ₹1334 (b) ₹174 (c) ₹986 (d) ₹1145

Answer key

  1. 10%
  2. 40%
  3. 25%
  4. ₹390
  5. 70
  6. 10%
  7. 276
  8. ₹336
  9. 30%
  10. 300
  11. 170
  12. 420
  13. ₹663
  14. 18
  15. 5%
  16. 50%
  17. 16
  18. 25%
  19. 50%
  20. 15%
  21. 156
  22. 10%
  23. 312
  24. 50%
  25. ₹630
  26. 20%
  27. 10%
  28. ₹1312
  29. 9
  30. 540
  31. 255
  32. ₹187
  33. 10%
  34. 30%
  35. 5%
  36. 5%
  37. ₹110
  38. 30%
  39. 5%
  40. ₹986

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