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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 144 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  3. 3.2 : 14 = 6 : ?
  4. 4.Divide ₹600 between Isha and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  6. 6.12 : 9 = 60 : ?
  7. 7.Divide ₹310 between Rohan and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  8. 8.8 : 12 = 16 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.3 : 2 = 21 : ?
  12. 12.Divide ₹130 between Karan and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  13. 13.3 : 9 = 21 : ?
  14. 14.Divide ₹90 between Kabir and Dev in the ratio 3 : 2. How much does Kabir get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.Divide ₹261 between Karan and Nisha in the ratio 7 : 2. How much does Karan get (in ₹)?
  18. 18.2 : 11 = 6 : ?
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.Divide ₹204 between Zoya and Rahul in the ratio 3 : 1. How much does Zoya get (in ₹)?
  22. 22.Divide ₹39 between Meera and Farhan in the ratio 2 : 1. How much does Meera get (in ₹)?
  23. 23.Divide ₹480 between Pooja and Tara in the ratio 1 : 7. How much does Tara get (in ₹)?
  24. 24.3 : 14 = 6 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  29. 29.6 : 5 = 24 : ?
  30. 30.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  32. 32.Divide ₹310 between Saanvi and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  34. 34.10 : 12 = 20 : ?
  35. 35.Divide ₹500 between Zoya and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?
  36. 36.Divide ₹564 between Sneha and Kabir in the ratio 5 : 7. How much does Sneha get (in ₹)?
  37. 37.8 : 7 = 32 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

Answer key

  1. 12
  2. 6
  3. 42
  4. 60
  5. 36
  6. 45
  7. 279
  8. 24
  9. 9
  10. 81
  11. 14
  12. 13
  13. 63
  14. 54
  15. 72
  16. 16
  17. 203
  18. 33
  19. 100
  20. 72
  21. 153
  22. 26
  23. 420
  24. 28
  25. 30
  26. 45
  27. 28
  28. 200
  29. 20
  30. 112
  31. 81
  32. 31
  33. 12
  34. 24
  35. 50
  36. 235
  37. 28
  38. 14
  39. 18
  40. 64

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