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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 127 · 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 15 (that is, 3 : 15 = 15 : ?).
  2. 2.8 : 6 = 32 : ?
  3. 3.8 : 14 = 32 : ?
  4. 4.2 : 5 = 6 : ?
  5. 5.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  6. 6.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  7. 7.Divide ₹261 between Meera and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  9. 9.Divide ₹348 between Rohan and Nisha in the ratio 5 : 7. How much does Nisha get (in ₹)?
  10. 10.Divide ₹352 between Aarav and Vivaan in the ratio 1 : 7. How much does Aarav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  12. 12.8 : 10 = 24 : ?
  13. 13.8 : 4 = 32 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  16. 16.10 : 13 = 90 : ?
  17. 17.9 : 6 = 72 : ?
  18. 18.2 : 3 = 4 : ?
  19. 19.Divide ₹143 between Rohan and Aarav in the ratio 6 : 7. How much does Rohan get (in ₹)?
  20. 20.Divide ₹105 between Sneha and Kabir in the ratio 2 : 5. How much does Sneha get (in ₹)?
  21. 21.7 : 12 = 28 : ?
  22. 22.9 : 6 = 63 : ?
  23. 23.3 : 7 = 6 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.10 : 9 = 50 : ?
  29. 29.Divide ₹198 between Rahul and Farhan in the ratio 1 : 5. How much does Rahul get (in ₹)?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  32. 32.2 : 13 = 6 : ?
  33. 33.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Divide ₹464 between Tara and Rohan in the ratio 9 : 7. How much does Tara get (in ₹)?
  37. 37.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  38. 38.8 : 6 = 16 : ?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.7 : 4 = 28 : ?

Answer key

  1. 75
  2. 24
  3. 56
  4. 15
  5. 49
  6. 128
  7. 58
  8. 36
  9. 203
  10. 44
  11. 18
  12. 30
  13. 16
  14. 14
  15. 15
  16. 117
  17. 48
  18. 6
  19. 66
  20. 30
  21. 48
  22. 42
  23. 14
  24. 8
  25. 6
  26. 35
  27. 16
  28. 45
  29. 33
  30. 32
  31. 80
  32. 39
  33. 8
  34. 36
  35. 12
  36. 261
  37. 36
  38. 12
  39. 112
  40. 16

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