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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 567 · 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.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.Divide ₹418 between Kavya and Aditya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  8. 8.Divide ₹270 between Meera and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.Divide ₹407 between Zoya and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  12. 12.Divide ₹185 between Diya and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
  13. 13.Divide ₹480 between Rohan and Aarav in the ratio 9 : 7. How much does Aarav get (in ₹)?
  14. 14.Divide ₹517 between Kavya and Karan in the ratio 7 : 4. How much does Karan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  16. 16.Divide ₹296 between Nisha and Farhan in the ratio 7 : 1. How much does Farhan get (in ₹)?
  17. 17.12 : 3 = 60 : ?
  18. 18.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  20. 20.6 : 10 = 54 : ?
  21. 21.8 : 12 = 64 : ?
  22. 22.Divide ₹132 between Zoya and Manav in the ratio 2 : 1. How much does Zoya get (in ₹)?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  25. 25.4 : 5 = 32 : ?
  26. 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  28. 28.3 : 13 = 18 : ?
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.Divide ₹224 between Ananya and Dev in the ratio 5 : 9. How much does Dev get (in ₹)?
  31. 31.12 : 8 = 36 : ?
  32. 32.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  33. 33.2 : 14 = 18 : ?
  34. 34.2 : 4 = 14 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.7 : 11 = 28 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  40. 40.Divide ₹200 between Aditya and Rohan in the ratio 3 : 1. How much does Rohan get (in ₹)?

Answer key

  1. 16
  2. 200
  3. 32
  4. 32
  5. 54
  6. 76
  7. 20
  8. 210
  9. 18
  10. 32
  11. 185
  12. 111
  13. 210
  14. 188
  15. 28
  16. 37
  17. 15
  18. 9
  19. 36
  20. 90
  21. 96
  22. 88
  23. 36
  24. 2
  25. 40
  26. 64
  27. 12
  28. 78
  29. 48
  30. 144
  31. 24
  32. 18
  33. 126
  34. 28
  35. 15
  36. 8
  37. 44
  38. 24
  39. 225
  40. 50

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