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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 110 · 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 9 and 45 (that is, 9 : 45 = 45 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  4. 4.Divide ₹500 between Karan and Arjun in the ratio 1 : 9. How much does Arjun get (in ₹)?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.Divide ₹80 between Manav and Tara in the ratio 1 : 3. How much does Manav get (in ₹)?
  7. 7.3 : 5 = 24 : ?
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.Divide ₹192 between Aarav and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  12. 12.Divide ₹120 between Rohan and Farhan in the ratio 4 : 1. How much does Rohan get (in ₹)?
  13. 13.Divide ₹54 between Kavya and Karan in the ratio 1 : 8. How much does Karan get (in ₹)?
  14. 14.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  15. 15.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  18. 18.9 : 8 = 36 : ?
  19. 19.Divide ₹329 between Nisha and Zoya in the ratio 3 : 4. How much does Nisha get (in ₹)?
  20. 20.7 : 12 = 42 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  26. 26.2 : 13 = 6 : ?
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  30. 30.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  31. 31.Divide ₹400 between Dev and Rohan in the ratio 5 : 3. How much does Dev get (in ₹)?
  32. 32.Divide ₹430 between Tara and Aarav in the ratio 1 : 9. How much does Aarav get (in ₹)?
  33. 33.9 : 2 = 45 : ?
  34. 34.Divide ₹259 between Isha and Meera in the ratio 1 : 6. How much does Isha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  36. 36.10 : 7 = 30 : ?
  37. 37.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  38. 38.Divide ₹162 between Arjun and Tara in the ratio 5 : 1. How much does Arjun get (in ₹)?
  39. 39.2 : 9 = 16 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?

Answer key

  1. 72
  2. 225
  3. 20
  4. 450
  5. 75
  6. 20
  7. 40
  8. 125
  9. 84
  10. 48
  11. 21
  12. 96
  13. 48
  14. 200
  15. 6
  16. 18
  17. 54
  18. 32
  19. 141
  20. 72
  21. 24
  22. 20
  23. 7
  24. 21
  25. 24
  26. 39
  27. 100
  28. 30
  29. 144
  30. 50
  31. 250
  32. 387
  33. 10
  34. 37
  35. 21
  36. 21
  37. 7
  38. 135
  39. 72
  40. 60

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