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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 39 · 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.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.6 : 8 = 42 : ?
  5. 5.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.3 : 14 = 9 : ?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  10. 10.7 : 11 = 42 : ?
  11. 11.Divide ₹245 between Kavya and Farhan in the ratio 1 : 6. How much does Kavya get (in ₹)?
  12. 12.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  17. 17.3 : 10 = 27 : ?
  18. 18.5 : 14 = 30 : ?
  19. 19.Divide ₹605 between Meera and Zoya in the ratio 8 : 3. How much does Meera get (in ₹)?
  20. 20.9 : 3 = 27 : ?
  21. 21.Divide ₹256 between Priya and Zoya in the ratio 5 : 3. How much does Priya get (in ₹)?
  22. 22.Divide ₹594 between Ishaan and Aarav in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  25. 25.10 : 2 = 70 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  28. 28.11 : 14 = 66 : ?
  29. 29.2 : 15 = 14 : ?
  30. 30.6 : 4 = 48 : ?
  31. 31.Divide ₹80 between Dev and Zoya in the ratio 3 : 7. How much does Zoya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  33. 33.Divide ₹225 between Aditya and Sneha in the ratio 3 : 2. How much does Aditya get (in ₹)?
  34. 34.6 : 13 = 18 : ?
  35. 35.Divide ₹165 between Manav and Meera in the ratio 8 : 7. How much does Manav get (in ₹)?
  36. 36.12 : 2 = 60 : ?
  37. 37.Divide ₹84 between Ishaan and Kabir in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  38. 38.8 : 13 = 56 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  40. 40.11 : 3 = 99 : ?

Answer key

  1. 2
  2. 8
  3. 150
  4. 56
  5. 8
  6. 100
  7. 42
  8. 12
  9. 18
  10. 66
  11. 35
  12. 200
  13. 36
  14. 63
  15. 64
  16. 24
  17. 90
  18. 84
  19. 440
  20. 9
  21. 160
  22. 324
  23. 7
  24. 27
  25. 14
  26. 80
  27. 54
  28. 84
  29. 105
  30. 32
  31. 56
  32. 49
  33. 135
  34. 39
  35. 88
  36. 10
  37. 56
  38. 91
  39. 48
  40. 27

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