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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 763 · 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.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.Divide ₹440 between Isha and Arjun in the ratio 3 : 5. How much does Isha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  8. 8.10 : 8 = 60 : ?
  9. 9.Divide ₹455 between Meera and Rahul in the ratio 7 : 6. How much does Rahul get (in ₹)?
  10. 10.11 : 14 = 55 : ?
  11. 11.Divide ₹121 between Dev and Ishaan in the ratio 4 : 7. How much does Dev get (in ₹)?
  12. 12.Divide ₹273 between Zoya and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
  13. 13.11 : 3 = 77 : ?
  14. 14.Divide ₹126 between Zoya and Karan in the ratio 5 : 2. How much does Zoya get (in ₹)?
  15. 15.3 : 9 = 9 : ?
  16. 16.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.9 : 15 = 27 : ?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  25. 25.Divide ₹460 between Isha and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
  26. 26.9 : 13 = 63 : ?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.Divide ₹180 between Isha and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  29. 29.12 : 10 = 84 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  33. 33.4 : 2 = 36 : ?
  34. 34.Divide ₹90 between Rahul and Aarav in the ratio 1 : 4. How much does Aarav get (in ₹)?
  35. 35.Divide ₹198 between Diya and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  37. 37.Divide ₹742 between Aarav and Rohan in the ratio 9 : 5. How much does Aarav get (in ₹)?
  38. 38.12 : 5 = 36 : ?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 3
  2. 32
  3. 28
  4. 81
  5. 8
  6. 165
  7. 16
  8. 48
  9. 210
  10. 70
  11. 44
  12. 234
  13. 21
  14. 90
  15. 27
  16. 25
  17. 16
  18. 45
  19. 96
  20. 8
  21. 63
  22. 12
  23. 28
  24. 112
  25. 322
  26. 91
  27. 18
  28. 140
  29. 70
  30. 36
  31. 100
  32. 5
  33. 18
  34. 72
  35. 54
  36. 80
  37. 477
  38. 15
  39. 27
  40. 128

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