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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 786 · 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 4 and 8 (that is, 4 : 8 = 8 : ?).
  2. 2.Divide ₹420 between Tara and Karan in the ratio 9 : 1. How much does Tara get (in ₹)?
  3. 3.8 : 12 = 32 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  5. 5.12 : 4 = 48 : ?
  6. 6.2 : 6 = 14 : ?
  7. 7.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.Divide ₹376 between Rohan and Manav in the ratio 5 : 3. How much does Rohan get (in ₹)?
  10. 10.Divide ₹126 between Arjun and Karan in the ratio 2 : 1. How much does Arjun get (in ₹)?
  11. 11.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.Divide ₹143 between Arjun and Rohan in the ratio 7 : 6. How much does Arjun get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  15. 15.Divide ₹370 between Tara and Dev in the ratio 9 : 1. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  21. 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  24. 24.10 : 5 = 50 : ?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Divide ₹315 between Meera and Rohan in the ratio 3 : 4. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.Divide ₹184 between Meera and Arjun in the ratio 5 : 3. How much does Arjun get (in ₹)?
  32. 32.7 : 13 = 35 : ?
  33. 33.9 : 11 = 54 : ?
  34. 34.9 : 15 = 63 : ?
  35. 35.Divide ₹637 between Sneha and Rohan in the ratio 6 : 7. How much does Sneha get (in ₹)?
  36. 36.Divide ₹55 between Kavya and Ishaan in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.Divide ₹180 between Ishaan and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  40. 40.Divide ₹200 between Priya and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?

Answer key

  1. 16
  2. 378
  3. 48
  4. 27
  5. 16
  6. 42
  7. 3
  8. 32
  9. 235
  10. 84
  11. 54
  12. 175
  13. 77
  14. 7
  15. 333
  16. 32
  17. 20
  18. 5
  19. 144
  20. 24
  21. 125
  22. 54
  23. 30
  24. 25
  25. 64
  26. 36
  27. 3
  28. 48
  29. 135
  30. 80
  31. 69
  32. 65
  33. 66
  34. 105
  35. 294
  36. 45
  37. 27
  38. 63
  39. 40
  40. 80

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