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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 964 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.Divide ₹72 between Pooja and Aditya in the ratio 2 : 7. How much does Pooja get (in ₹)?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  6. 6.Divide ₹228 between Arjun and Kavya in the ratio 1 : 5. How much does Arjun get (in ₹)?
  7. 7.Divide ₹147 between Manav and Ishaan in the ratio 2 : 1. How much does Manav get (in ₹)?
  8. 8.Divide ₹322 between Dev and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?
  9. 9.Divide ₹153 between Rohan and Aarav in the ratio 2 : 7. How much does Rohan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  13. 13.Divide ₹242 between Aditya and Sneha in the ratio 9 : 2. How much does Sneha get (in ₹)?
  14. 14.Divide ₹104 between Farhan and Manav in the ratio 3 : 1. How much does Farhan get (in ₹)?
  15. 15.12 : 3 = 84 : ?
  16. 16.7 : 14 = 28 : ?
  17. 17.5 : 4 = 15 : ?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Divide ₹160 between Rahul and Priya in the ratio 3 : 2. How much does Rahul get (in ₹)?
  20. 20.12 : 2 = 96 : ?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  23. 23.11 : 13 = 22 : ?
  24. 24.12 : 6 = 48 : ?
  25. 25.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  26. 26.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  27. 27.3 : 2 = 21 : ?
  28. 28.Divide ₹90 between Pooja and Zoya in the ratio 1 : 9. How much does Pooja get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  31. 31.Divide ₹480 between Ananya and Ishaan in the ratio 1 : 7. How much does Ishaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  33. 33.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.Divide ₹207 between Rahul and Meera in the ratio 5 : 4. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.3 : 6 = 18 : ?

Answer key

  1. 50
  2. 112
  3. 16
  4. 8
  5. 15
  6. 38
  7. 98
  8. 230
  9. 34
  10. 63
  11. 42
  12. 16
  13. 44
  14. 78
  15. 21
  16. 56
  17. 12
  18. 144
  19. 96
  20. 16
  21. 18
  22. 28
  23. 26
  24. 24
  25. 20
  26. 75
  27. 14
  28. 9
  29. 63
  30. 2
  31. 420
  32. 9
  33. 45
  34. 81
  35. 115
  36. 24
  37. 56
  38. 40
  39. 48
  40. 36

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