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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 274 · 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. 1.5 : 11 = 25 : ?
  2. 2.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.Divide ₹260 between Ananya and Aditya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  9. 9.2 : 4 = 14 : ?
  10. 10.6 : 4 = 24 : ?
  11. 11.Divide ₹492 between Aarav and Meera in the ratio 5 : 7. How much does Aarav get (in ₹)?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.Divide ₹371 between Ananya and Farhan in the ratio 3 : 4. How much does Ananya get (in ₹)?
  17. 17.Divide ₹231 between Farhan and Aarav in the ratio 3 : 8. How much does Aarav get (in ₹)?
  18. 18.5 : 10 = 10 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  20. 20.4 : 11 = 12 : ?
  21. 21.Divide ₹585 between Isha and Meera in the ratio 9 : 4. How much does Meera get (in ₹)?
  22. 22.3 : 8 = 27 : ?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.Divide ₹54 between Rahul and Tara in the ratio 2 : 1. How much does Rahul get (in ₹)?
  25. 25.7 : 3 = 35 : ?
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.Divide ₹506 between Aarav and Sneha in the ratio 8 : 3. How much does Aarav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  29. 29.12 : 7 = 36 : ?
  30. 30.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  33. 33.Divide ₹315 between Ishaan and Saanvi in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  35. 35.12 : 10 = 36 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  37. 37.3 : 13 = 6 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?

Answer key

  1. 55
  2. 225
  3. 36
  4. 32
  5. 64
  6. 80
  7. 80
  8. 52
  9. 28
  10. 16
  11. 205
  12. 100
  13. 8
  14. 63
  15. 16
  16. 159
  17. 168
  18. 20
  19. 42
  20. 33
  21. 180
  22. 72
  23. 175
  24. 36
  25. 15
  26. 125
  27. 368
  28. 27
  29. 21
  30. 128
  31. 32
  32. 35
  33. 270
  34. 36
  35. 30
  36. 15
  37. 26
  38. 6
  39. 45
  40. 36

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