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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 980 · 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 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  4. 4.9 : 10 = 27 : ?
  5. 5.Divide ₹660 between Dev and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?
  6. 6.Divide ₹169 between Ananya and Saanvi in the ratio 5 : 8. How much does Ananya get (in ₹)?
  7. 7.11 : 4 = 55 : ?
  8. 8.6 : 4 = 36 : ?
  9. 9.11 : 9 = 77 : ?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  13. 13.12 : 3 = 24 : ?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  16. 16.Divide ₹570 between Pooja and Rohan in the ratio 7 : 3. How much does Pooja get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  18. 18.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  19. 19.9 : 11 = 27 : ?
  20. 20.Divide ₹688 between Arjun and Karan in the ratio 7 : 9. How much does Karan get (in ₹)?
  21. 21.11 : 5 = 99 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  23. 23.4 : 14 = 16 : ?
  24. 24.Divide ₹126 between Arjun and Kabir in the ratio 1 : 2. How much does Arjun get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  27. 27.Divide ₹24 between Dev and Nisha in the ratio 1 : 2. How much does Dev get (in ₹)?
  28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  29. 29.9 : 14 = 27 : ?
  30. 30.10 : 7 = 30 : ?
  31. 31.Divide ₹91 between Ananya and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  32. 32.Divide ₹100 between Diya and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  33. 33.Divide ₹30 between Priya and Dev in the ratio 4 : 1. How much does Priya get (in ₹)?
  34. 34.Divide ₹742 between Ishaan and Manav in the ratio 9 : 5. How much does Manav get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  40. 40.Divide ₹247 between Rohan and Pooja in the ratio 4 : 9. How much does Rohan get (in ₹)?

Answer key

  1. 12
  2. 96
  3. 24
  4. 30
  5. 240
  6. 65
  7. 20
  8. 24
  9. 63
  10. 48
  11. 24
  12. 40
  13. 6
  14. 8
  15. 45
  16. 399
  17. 7
  18. 125
  19. 33
  20. 387
  21. 45
  22. 15
  23. 56
  24. 42
  25. 30
  26. 2
  27. 8
  28. 175
  29. 42
  30. 21
  31. 13
  32. 60
  33. 24
  34. 265
  35. 50
  36. 40
  37. 20
  38. 4
  39. 3
  40. 76

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