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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 568 · 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.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  4. 4.5 : 2 = 30 : ?
  5. 5.7 : 8 = 21 : ?
  6. 6.3 : 10 = 15 : ?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.Divide ₹234 between Dev and Saanvi in the ratio 5 : 8. How much does Dev get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  11. 11.12 : 3 = 36 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  13. 13.Divide ₹204 between Zoya and Ananya in the ratio 3 : 1. How much does Zoya get (in ₹)?
  14. 14.Divide ₹580 between Tara and Manav in the ratio 1 : 9. How much does Tara get (in ₹)?
  15. 15.Divide ₹429 between Diya and Farhan in the ratio 6 : 5. How much does Diya get (in ₹)?
  16. 16.Divide ₹285 between Isha and Sneha in the ratio 7 : 8. How much does Isha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  18. 18.7 : 8 = 63 : ?
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  21. 21.Divide ₹160 between Karan and Farhan in the ratio 3 : 2. How much does Karan get (in ₹)?
  22. 22.Divide ₹280 between Rahul and Priya in the ratio 1 : 4. How much does Rahul get (in ₹)?
  23. 23.Divide ₹148 between Diya and Manav in the ratio 3 : 1. How much does Diya get (in ₹)?
  24. 24.5 : 2 = 20 : ?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Divide ₹28 between Nisha and Farhan in the ratio 3 : 1. How much does Nisha get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  30. 30.Divide ₹54 between Tara and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  33. 33.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.8 : 6 = 56 : ?
  37. 37.Divide ₹80 between Ananya and Arjun in the ratio 1 : 9. How much does Arjun get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  39. 39.Divide ₹177 between Rohan and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  40. 40.8 : 14 = 32 : ?

Answer key

  1. 72
  2. 36
  3. 56
  4. 12
  5. 24
  6. 50
  7. 72
  8. 96
  9. 90
  10. 24
  11. 9
  12. 8
  13. 153
  14. 58
  15. 234
  16. 133
  17. 56
  18. 72
  19. 20
  20. 50
  21. 96
  22. 56
  23. 111
  24. 8
  25. 32
  26. 21
  27. 12
  28. 36
  29. 32
  30. 24
  31. 12
  32. 10
  33. 100
  34. 24
  35. 8
  36. 42
  37. 72
  38. 8
  39. 118
  40. 56

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