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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 569 · 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. 1.2 : 12 = 4 : ?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.2 : 13 = 8 : ?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  10. 10.Divide ₹136 between Nisha and Manav in the ratio 3 : 1. How much does Manav get (in ₹)?
  11. 11.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  12. 12.Divide ₹329 between Aarav and Farhan in the ratio 3 : 4. How much does Aarav get (in ₹)?
  13. 13.Divide ₹133 between Kavya and Karan in the ratio 3 : 4. How much does Kavya get (in ₹)?
  14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  15. 15.9 : 11 = 81 : ?
  16. 16.Divide ₹296 between Dev and Zoya in the ratio 5 : 3. How much does Dev get (in ₹)?
  17. 17.6 : 12 = 54 : ?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Divide ₹408 between Vivaan and Sneha in the ratio 8 : 9. How much does Sneha get (in ₹)?
  21. 21.7 : 2 = 35 : ?
  22. 22.5 : 12 = 25 : ?
  23. 23.Divide ₹165 between Aditya and Ananya in the ratio 3 : 8. How much does Aditya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
  27. 27.Divide ₹231 between Aditya and Arjun in the ratio 9 : 2. How much does Arjun get (in ₹)?
  28. 28.Divide ₹189 between Karan and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  31. 31.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  32. 32.Divide ₹203 between Farhan and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
  33. 33.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  34. 34.9 : 7 = 36 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  37. 37.10 : 3 = 50 : ?
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.Divide ₹286 between Dev and Farhan in the ratio 5 : 8. How much does Dev get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?

Answer key

  1. 24
  2. 12
  3. 20
  4. 16
  5. 225
  6. 52
  7. 100
  8. 12
  9. 6
  10. 34
  11. 75
  12. 141
  13. 57
  14. 96
  15. 99
  16. 185
  17. 108
  18. 112
  19. 8
  20. 216
  21. 10
  22. 60
  23. 45
  24. 4
  25. 24
  26. 18
  27. 42
  28. 21
  29. 25
  30. 20
  31. 50
  32. 174
  33. 36
  34. 28
  35. 54
  36. 30
  37. 15
  38. 144
  39. 110
  40. 10

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