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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 63 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  3. 3.Divide ₹129 between Rohan and Isha in the ratio 1 : 2. How much does Isha get (in ₹)?
  4. 4.2 : 14 = 10 : ?
  5. 5.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  7. 7.3 : 6 = 24 : ?
  8. 8.2 : 6 = 14 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  11. 11.Divide ₹205 between Tara and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  15. 15.12 : 4 = 48 : ?
  16. 16.Divide ₹342 between Rohan and Aditya in the ratio 2 : 7. How much does Aditya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  18. 18.Divide ₹564 between Aditya and Rahul in the ratio 7 : 5. How much does Rahul get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  20. 20.Divide ₹986 between Rohan and Kavya in the ratio 8 : 9. How much does Rohan get (in ₹)?
  21. 21.10 : 11 = 40 : ?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  24. 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  25. 25.11 : 4 = 66 : ?
  26. 26.3 : 2 = 21 : ?
  27. 27.3 : 12 = 24 : ?
  28. 28.4 : 7 = 8 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  31. 31.5 : 4 = 10 : ?
  32. 32.4 : 13 = 16 : ?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.Divide ₹85 between Sneha and Ishaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  35. 35.6 : 3 = 12 : ?
  36. 36.Divide ₹144 between Saanvi and Rohan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  40. 40.2 : 4 = 4 : ?

Answer key

  1. 45
  2. 15
  3. 86
  4. 70
  5. 81
  6. 144
  7. 48
  8. 42
  9. 18
  10. 36
  11. 41
  12. 40
  13. 32
  14. 64
  15. 16
  16. 266
  17. 16
  18. 235
  19. 42
  20. 464
  21. 44
  22. 50
  23. 200
  24. 32
  25. 24
  26. 14
  27. 96
  28. 14
  29. 63
  30. 30
  31. 8
  32. 52
  33. 28
  34. 34
  35. 6
  36. 81
  37. 3
  38. 16
  39. 2
  40. 8

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