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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 726 · 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 4 : 5. There are 36 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  5. 5.Divide ₹333 between Kabir and Meera in the ratio 7 : 2. How much does Kabir get (in ₹)?
  6. 6.10 : 15 = 40 : ?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  9. 9.3 : 6 = 18 : ?
  10. 10.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  12. 12.Divide ₹506 between Ishaan and Kavya in the ratio 9 : 2. How much does Kavya get (in ₹)?
  13. 13.Divide ₹315 between Aditya and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  14. 14.2 : 15 = 12 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  17. 17.4 : 15 = 12 : ?
  18. 18.Divide ₹40 between Ananya and Aarav in the ratio 1 : 4. How much does Ananya get (in ₹)?
  19. 19.6 : 10 = 12 : ?
  20. 20.Divide ₹207 between Rahul and Kavya in the ratio 7 : 2. How much does Rahul get (in ₹)?
  21. 21.3 : 9 = 24 : ?
  22. 22.2 : 5 = 4 : ?
  23. 23.11 : 9 = 55 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  27. 27.Divide ₹42 between Aarav and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  28. 28.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  29. 29.3 : 4 = 21 : ?
  30. 30.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  32. 32.Divide ₹84 between Kabir and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.Divide ₹125 between Karan and Aarav in the ratio 2 : 3. How much does Karan get (in ₹)?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.6 : 8 = 24 : ?
  37. 37.3 : 8 = 12 : ?
  38. 38.3 : 15 = 6 : ?
  39. 39.Divide ₹238 between Sneha and Karan in the ratio 8 : 9. How much does Karan get (in ₹)?
  40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

Answer key

  1. 45
  2. 72
  3. 28
  4. 3
  5. 259
  6. 60
  7. 64
  8. 8
  9. 36
  10. 9
  11. 112
  12. 92
  13. 45
  14. 90
  15. 50
  16. 64
  17. 45
  18. 8
  19. 20
  20. 161
  21. 72
  22. 10
  23. 45
  24. 2
  25. 30
  26. 6
  27. 7
  28. 128
  29. 28
  30. 45
  31. 48
  32. 48
  33. 16
  34. 50
  35. 75
  36. 32
  37. 32
  38. 30
  39. 126
  40. 12

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