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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 741 · 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. 1.3 : 11 = 18 : ?
  2. 2.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.7 : 6 = 28 : ?
  6. 6.9 : 10 = 36 : ?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.6 : 5 = 30 : ?
  9. 9.Divide ₹413 between Arjun and Dev in the ratio 6 : 1. How much does Arjun get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  11. 11.6 : 12 = 42 : ?
  12. 12.Divide ₹649 between Dev and Diya in the ratio 9 : 2. How much does Diya get (in ₹)?
  13. 13.6 : 15 = 12 : ?
  14. 14.6 : 5 = 12 : ?
  15. 15.5 : 12 = 15 : ?
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  17. 17.Divide ₹159 between Priya and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.Divide ₹248 between Arjun and Manav in the ratio 3 : 5. How much does Arjun get (in ₹)?
  21. 21.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  24. 24.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.3 : 2 = 27 : ?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  29. 29.Divide ₹580 between Pooja and Aarav in the ratio 1 : 9. How much does Aarav get (in ₹)?
  30. 30.8 : 10 = 48 : ?
  31. 31.Divide ₹304 between Ananya and Aarav in the ratio 7 : 9. How much does Aarav get (in ₹)?
  32. 32.Divide ₹153 between Dev and Ananya in the ratio 1 : 8. How much does Ananya get (in ₹)?
  33. 33.Divide ₹450 between Nisha and Ananya in the ratio 2 : 7. How much does Nisha get (in ₹)?
  34. 34.Divide ₹198 between Meera and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.12 : 8 = 24 : ?
  37. 37.4 : 3 = 8 : ?
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?

Answer key

  1. 66
  2. 12
  3. 24
  4. 72
  5. 24
  6. 40
  7. 50
  8. 25
  9. 354
  10. 7
  11. 84
  12. 118
  13. 30
  14. 10
  15. 36
  16. 10
  17. 53
  18. 75
  19. 144
  20. 93
  21. 48
  22. 12
  23. 200
  24. 24
  25. 100
  26. 18
  27. 96
  28. 54
  29. 522
  30. 60
  31. 171
  32. 136
  33. 100
  34. 176
  35. 36
  36. 16
  37. 6
  38. 16
  39. 32
  40. 27

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