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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 461 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.6 : 9 = 24 : ?
  2. 2.9 : 4 = 27 : ?
  3. 3.7 : 3 = 21 : ?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  7. 7.2 : 9 = 18 : ?
  8. 8.9 : 12 = 36 : ?
  9. 9.3 : 4 = 21 : ?
  10. 10.Divide ₹374 between Diya and Saanvi in the ratio 8 : 3. How much does Diya get (in ₹)?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  13. 13.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  15. 15.Divide ₹507 between Vivaan and Dev in the ratio 6 : 7. How much does Vivaan get (in ₹)?
  16. 16.3 : 13 = 12 : ?
  17. 17.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.6 : 11 = 48 : ?
  24. 24.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  25. 25.10 : 3 = 50 : ?
  26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  28. 28.12 : 13 = 72 : ?
  29. 29.Divide ₹136 between Kabir and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  30. 30.Divide ₹533 between Ishaan and Sneha in the ratio 6 : 7. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  33. 33.9 : 11 = 72 : ?
  34. 34.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  35. 35.Divide ₹108 between Aarav and Vivaan in the ratio 7 : 2. How much does Aarav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  38. 38.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?

Answer key

  1. 36
  2. 12
  3. 9
  4. 81
  5. 4
  6. 35
  7. 81
  8. 48
  9. 28
  10. 272
  11. 45
  12. 12
  13. 96
  14. 49
  15. 234
  16. 52
  17. 24
  18. 12
  19. 48
  20. 12
  21. 50
  22. 128
  23. 88
  24. 80
  25. 15
  26. 200
  27. 45
  28. 78
  29. 85
  30. 246
  31. 8
  32. 10
  33. 88
  34. 40
  35. 84
  36. 28
  37. 144
  38. 7
  39. 8
  40. 16

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