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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 538 · 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 7 : 6. There are 14 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  7. 7.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.9 : 4 = 72 : ?
  10. 10.7 : 3 = 28 : ?
  11. 11.Divide ₹42 between Aarav and Karan in the ratio 1 : 5. How much does Aarav get (in ₹)?
  12. 12.Divide ₹117 between Nisha and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.Divide ₹195 between Rahul and Kavya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  16. 16.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  17. 17.2 : 5 = 6 : ?
  18. 18.9 : 3 = 18 : ?
  19. 19.2 : 6 = 4 : ?
  20. 20.2 : 8 = 4 : ?
  21. 21.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  22. 22.Divide ₹264 between Kavya and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  23. 23.Divide ₹221 between Meera and Karan in the ratio 9 : 4. How much does Meera get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  25. 25.11 : 4 = 66 : ?
  26. 26.2 : 9 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  28. 28.2 : 5 = 10 : ?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  32. 32.Divide ₹546 between Farhan and Nisha in the ratio 6 : 7. How much does Farhan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  35. 35.Divide ₹234 between Rohan and Kavya in the ratio 8 : 5. How much does Rohan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  37. 37.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.Divide ₹583 between Manav and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  40. 40.Divide ₹660 between Saanvi and Ananya in the ratio 7 : 4. How much does Ananya get (in ₹)?

Answer key

  1. 12
  2. 35
  3. 72
  4. 8
  5. 3
  6. 50
  7. 128
  8. 48
  9. 32
  10. 12
  11. 7
  12. 91
  13. 112
  14. 125
  15. 78
  16. 36
  17. 15
  18. 6
  19. 12
  20. 16
  21. 225
  22. 154
  23. 153
  24. 10
  25. 24
  26. 54
  27. 72
  28. 25
  29. 2
  30. 20
  31. 42
  32. 252
  33. 63
  34. 20
  35. 144
  36. 12
  37. 100
  38. 45
  39. 265
  40. 240

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