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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 165 · 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.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.11 : 13 = 66 : ?
  3. 3.Divide ₹450 between Isha and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  7. 7.Divide ₹45 between Arjun and Pooja in the ratio 5 : 4. How much does Pooja get (in ₹)?
  8. 8.Divide ₹99 between Karan and Rohan in the ratio 1 : 2. How much does Karan get (in ₹)?
  9. 9.Divide ₹30 between Tara and Pooja in the ratio 1 : 4. How much does Pooja get (in ₹)?
  10. 10.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  11. 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  12. 12.Divide ₹336 between Rahul and Rohan in the ratio 1 : 6. How much does Rahul get (in ₹)?
  13. 13.Divide ₹550 between Meera and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
  14. 14.11 : 14 = 22 : ?
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.11 : 5 = 66 : ?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.9 : 12 = 54 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  21. 21.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  22. 22.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  23. 23.Divide ₹357 between Rohan and Aarav in the ratio 8 : 9. How much does Rohan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  26. 26.Divide ₹115 between Farhan and Priya in the ratio 1 : 4. How much does Priya get (in ₹)?
  27. 27.Divide ₹132 between Rohan and Vivaan in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  28. 28.Divide ₹225 between Rohan and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  30. 30.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  31. 31.6 : 14 = 30 : ?
  32. 32.Divide ₹220 between Ananya and Aditya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  33. 33.Divide ₹315 between Farhan and Rahul in the ratio 5 : 2. How much does Farhan get (in ₹)?
  34. 34.Divide ₹111 between Ananya and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  35. 35.7 : 5 = 28 : ?
  36. 36.Divide ₹385 between Zoya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  37. 37.3 : 7 = 6 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  40. 40.8 : 6 = 32 : ?

Answer key

  1. 12
  2. 78
  3. 405
  4. 36
  5. 10
  6. 10
  7. 20
  8. 33
  9. 24
  10. 125
  11. 175
  12. 48
  13. 100
  14. 28
  15. 96
  16. 30
  17. 16
  18. 72
  19. 12
  20. 42
  21. 225
  22. 4
  23. 168
  24. 27
  25. 6
  26. 92
  27. 77
  28. 50
  29. 5
  30. 32
  31. 70
  32. 176
  33. 225
  34. 37
  35. 20
  36. 315
  37. 14
  38. 80
  39. 18
  40. 24

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