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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 984 · 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).

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  1. 1.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  5. 5.4 : 5 = 36 : ?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  10. 10.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.9 : 3 = 18 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  14. 14.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  15. 15.10 : 15 = 80 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  17. 17.5 : 2 = 45 : ?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.Divide ₹297 between Rahul and Ananya in the ratio 2 : 7. How much does Rahul get (in ₹)?
  20. 20.2 : 12 = 4 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  22. 22.Divide ₹406 between Sneha and Pooja in the ratio 1 : 6. How much does Sneha get (in ₹)?
  23. 23.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  24. 24.2 : 5 = 10 : ?
  25. 25.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  27. 27.5 : 10 = 45 : ?
  28. 28.Divide ₹387 between Isha and Tara in the ratio 5 : 4. How much does Isha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.7 : 10 = 28 : ?
  32. 32.10 : 15 = 60 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  34. 34.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  35. 35.2 : 10 = 4 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  37. 37.9 : 3 = 45 : ?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.3 : 14 = 18 : ?
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 72
  2. 27
  3. 10
  4. 45
  5. 45
  6. 20
  7. 63
  8. 72
  9. 6
  10. 150
  11. 50
  12. 6
  13. 20
  14. 112
  15. 120
  16. 4
  17. 18
  18. 24
  19. 66
  20. 24
  21. 35
  22. 58
  23. 54
  24. 25
  25. 45
  26. 14
  27. 90
  28. 215
  29. 8
  30. 18
  31. 40
  32. 90
  33. 48
  34. 128
  35. 20
  36. 10
  37. 15
  38. 8
  39. 84
  40. 81

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