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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 988 · 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. 1.9 : 7 = 27 : ?
  2. 2.6 : 10 = 30 : ?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.Divide ₹288 between Nisha and Saanvi in the ratio 9 : 7. How much does Nisha get (in ₹)?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.4 : 13 = 20 : ?
  8. 8.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Divide ₹162 between Kabir and Ananya in the ratio 7 : 2. How much does Kabir get (in ₹)?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  13. 13.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  15. 15.3 : 10 = 12 : ?
  16. 16.4 : 6 = 28 : ?
  17. 17.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  18. 18.Divide ₹240 between Ananya and Kabir in the ratio 8 : 7. How much does Ananya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  22. 22.Divide ₹57 between Arjun and Kabir in the ratio 1 : 2. How much does Arjun get (in ₹)?
  23. 23.11 : 5 = 44 : ?
  24. 24.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  25. 25.Divide ₹112 between Karan and Farhan in the ratio 4 : 3. How much does Karan get (in ₹)?
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.Divide ₹301 between Rohan and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  28. 28.Divide ₹80 between Dev and Kabir in the ratio 9 : 1. How much does Dev get (in ₹)?
  29. 29.Divide ₹585 between Ishaan and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
  30. 30.Divide ₹649 between Arjun and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  31. 31.5 : 7 = 45 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  33. 33.5 : 14 = 45 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  35. 35.2 : 15 = 10 : ?
  36. 36.7 : 2 = 49 : ?
  37. 37.7 : 13 = 21 : ?
  38. 38.4 : 14 = 36 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?

Answer key

  1. 21
  2. 50
  3. 20
  4. 75
  5. 162
  6. 12
  7. 65
  8. 32
  9. 32
  10. 126
  11. 225
  12. 144
  13. 50
  14. 3
  15. 40
  16. 42
  17. 24
  18. 128
  19. 10
  20. 90
  21. 24
  22. 19
  23. 20
  24. 40
  25. 64
  26. 96
  27. 129
  28. 72
  29. 312
  30. 118
  31. 63
  32. 18
  33. 126
  34. 15
  35. 75
  36. 14
  37. 39
  38. 126
  39. 3
  40. 10

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