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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 138 · 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. 1.9 : 13 = 45 : ?
  2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  3. 3.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  4. 4.7 : 14 = 14 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  6. 6.4 : 3 = 24 : ?
  7. 7.Divide ₹315 between Sneha and Saanvi in the ratio 1 : 8. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.Divide ₹378 between Aditya and Rahul in the ratio 1 : 6. How much does Aditya get (in ₹)?
  11. 11.Divide ₹200 between Aditya and Rohan in the ratio 4 : 1. How much does Aditya get (in ₹)?
  12. 12.Divide ₹64 between Rohan and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  13. 13.Divide ₹155 between Arjun and Farhan in the ratio 1 : 4. How much does Arjun get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  19. 19.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  21. 21.9 : 3 = 36 : ?
  22. 22.11 : 13 = 66 : ?
  23. 23.Divide ₹236 between Zoya and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.Divide ₹121 between Sneha and Zoya in the ratio 3 : 8. How much does Sneha get (in ₹)?
  26. 26.Divide ₹147 between Kavya and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.8 : 11 = 32 : ?
  30. 30.5 : 8 = 45 : ?
  31. 31.Divide ₹210 between Karan and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  33. 33.Divide ₹418 between Karan and Nisha in the ratio 9 : 2. How much does Nisha get (in ₹)?
  34. 34.Divide ₹54 between Dev and Pooja in the ratio 5 : 1. How much does Dev get (in ₹)?
  35. 35.3 : 13 = 12 : ?
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.6 : 5 = 12 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?

Answer key

  1. 65
  2. 100
  3. 10
  4. 28
  5. 40
  6. 18
  7. 35
  8. 2
  9. 12
  10. 54
  11. 160
  12. 56
  13. 31
  14. 40
  15. 144
  16. 4
  17. 125
  18. 60
  19. 45
  20. 21
  21. 12
  22. 78
  23. 177
  24. 36
  25. 33
  26. 98
  27. 96
  28. 28
  29. 44
  30. 72
  31. 147
  32. 16
  33. 76
  34. 45
  35. 52
  36. 64
  37. 10
  38. 30
  39. 48
  40. 36

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