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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 147 · 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.Divide ₹333 between Zoya and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  3. 3.3 : 8 = 21 : ?
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.9 : 14 = 36 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  7. 7.10 : 13 = 60 : ?
  8. 8.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  9. 9.7 : 9 = 49 : ?
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.7 : 4 = 28 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  15. 15.5 : 13 = 45 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  17. 17.Divide ₹60 between Manav and Priya in the ratio 1 : 3. How much does Priya get (in ₹)?
  18. 18.6 : 9 = 36 : ?
  19. 19.7 : 9 = 56 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  21. 21.Divide ₹406 between Arjun and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  23. 23.2 : 3 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  27. 27.Divide ₹280 between Rahul and Rohan in the ratio 1 : 7. How much does Rahul get (in ₹)?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.8 : 4 = 56 : ?
  30. 30.Divide ₹126 between Tara and Zoya in the ratio 1 : 6. How much does Tara get (in ₹)?
  31. 31.2 : 15 = 6 : ?
  32. 32.Divide ₹252 between Ananya and Kavya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  34. 34.Divide ₹168 between Ananya and Kabir in the ratio 1 : 5. How much does Ananya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  37. 37.10 : 6 = 90 : ?
  38. 38.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  39. 39.5 : 8 = 25 : ?
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 185
  2. 81
  3. 56
  4. 28
  5. 56
  6. 24
  7. 78
  8. 100
  9. 63
  10. 175
  11. 16
  12. 16
  13. 14
  14. 2
  15. 117
  16. 20
  17. 45
  18. 54
  19. 72
  20. 9
  21. 116
  22. 60
  23. 27
  24. 16
  25. 27
  26. 4
  27. 35
  28. 54
  29. 28
  30. 18
  31. 45
  32. 108
  33. 18
  34. 28
  35. 30
  36. 20
  37. 54
  38. 64
  39. 40
  40. 36

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