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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 69 · 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).

NameDateTime takenScore ___ / 40
  1. 1.12 : 5 = 96 : ?
  2. 2.Divide ₹520 between Rahul and Nisha in the ratio 7 : 6. How much does Nisha get (in ₹)?
  3. 3.5 : 12 = 25 : ?
  4. 4.7 : 5 = 28 : ?
  5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  6. 6.12 : 2 = 84 : ?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  11. 11.Divide ₹315 between Aditya and Dev in the ratio 7 : 2. How much does Aditya get (in ₹)?
  12. 12.6 : 4 = 30 : ?
  13. 13.5 : 3 = 10 : ?
  14. 14.Divide ₹255 between Karan and Nisha in the ratio 1 : 4. How much does Karan get (in ₹)?
  15. 15.3 : 12 = 18 : ?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  21. 21.9 : 3 = 18 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  23. 23.Divide ₹136 between Priya and Sneha in the ratio 3 : 5. How much does Sneha get (in ₹)?
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.8 : 4 = 16 : ?
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  27. 27.3 : 7 = 21 : ?
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.5 : 8 = 25 : ?
  30. 30.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  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 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.3 : 4 = 18 : ?
  35. 35.Divide ₹99 between Arjun and Saanvi in the ratio 4 : 7. How much does Arjun get (in ₹)?
  36. 36.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  37. 37.Divide ₹960 between Farhan and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
  38. 38.3 : 15 = 24 : ?
  39. 39.9 : 7 = 63 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?

Answer key

  1. 40
  2. 240
  3. 60
  4. 20
  5. 16
  6. 14
  7. 18
  8. 32
  9. 28
  10. 12
  11. 245
  12. 20
  13. 6
  14. 51
  15. 72
  16. 28
  17. 75
  18. 6
  19. 24
  20. 15
  21. 6
  22. 18
  23. 85
  24. 20
  25. 8
  26. 70
  27. 49
  28. 112
  29. 40
  30. 30
  31. 100
  32. 9
  33. 225
  34. 24
  35. 36
  36. 96
  37. 420
  38. 120
  39. 49
  40. 8

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