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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 265 · 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 6 : 1. There are 42 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹66 between Rahul and Meera in the ratio 2 : 9. How much does Rahul get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  7. 7.Divide ₹42 between Ananya and Kavya in the ratio 1 : 5. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.Divide ₹129 between Aditya and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  10. 10.5 : 3 = 25 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  12. 12.6 : 12 = 18 : ?
  13. 13.Divide ₹319 between Saanvi and Kabir in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  14. 14.Divide ₹135 between Saanvi and Diya in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  15. 15.2 : 13 = 8 : ?
  16. 16.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.5 : 3 = 30 : ?
  20. 20.7 : 9 = 35 : ?
  21. 21.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  22. 22.7 : 4 = 63 : ?
  23. 23.4 : 6 = 32 : ?
  24. 24.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  25. 25.10 : 5 = 40 : ?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  28. 28.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  29. 29.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  31. 31.9 : 3 = 81 : ?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  33. 33.3 : 10 = 15 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  38. 38.Divide ₹165 between Arjun and Nisha in the ratio 2 : 9. How much does Nisha get (in ₹)?
  39. 39.Divide ₹105 between Aditya and Ishaan in the ratio 3 : 4. How much does Ishaan get (in ₹)?
  40. 40.Divide ₹506 between Isha and Farhan in the ratio 5 : 6. How much does Isha get (in ₹)?

Answer key

  1. 7
  2. 6
  3. 28
  4. 12
  5. 72
  6. 2
  7. 7
  8. 32
  9. 43
  10. 15
  11. 12
  12. 36
  13. 116
  14. 81
  15. 52
  16. 9
  17. 24
  18. 144
  19. 18
  20. 45
  21. 28
  22. 36
  23. 48
  24. 7
  25. 20
  26. 54
  27. 10
  28. 75
  29. 70
  30. 16
  31. 27
  32. 14
  33. 50
  34. 6
  35. 24
  36. 18
  37. 63
  38. 135
  39. 60
  40. 230

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