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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 151 · 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 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  4. 4.Divide ₹287 between Diya and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  6. 6.Divide ₹583 between Farhan and Saanvi in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  7. 7.Divide ₹660 between Ishaan and Sneha in the ratio 3 : 8. How much does Sneha get (in ₹)?
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  10. 10.Divide ₹144 between Diya and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  11. 11.9 : 5 = 63 : ?
  12. 12.3 : 10 = 21 : ?
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  17. 17.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  18. 18.Divide ₹432 between Ananya and Nisha in the ratio 5 : 7. How much does Ananya get (in ₹)?
  19. 19.Divide ₹100 between Aarav and Nisha in the ratio 1 : 9. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  21. 21.11 : 4 = 33 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  24. 24.12 : 2 = 84 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  26. 26.Divide ₹572 between Ananya and Rohan in the ratio 6 : 5. How much does Ananya get (in ₹)?
  27. 27.Divide ₹590 between Arjun and Kavya in the ratio 9 : 1. How much does Kavya get (in ₹)?
  28. 28.Divide ₹60 between Aditya and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  29. 29.11 : 4 = 77 : ?
  30. 30.Divide ₹99 between Farhan and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.10 : 11 = 60 : ?
  33. 33.6 : 5 = 36 : ?
  34. 34.Divide ₹95 between Kavya and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  35. 35.10 : 7 = 60 : ?
  36. 36.Divide ₹376 between Meera and Karan in the ratio 1 : 7. How much does Meera get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  38. 38.3 : 13 = 9 : ?
  39. 39.Divide ₹35 between Tara and Rohan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?

Answer key

  1. 200
  2. 54
  3. 25
  4. 205
  5. 81
  6. 212
  7. 480
  8. 27
  9. 14
  10. 96
  11. 35
  12. 70
  13. 16
  14. 12
  15. 12
  16. 20
  17. 32
  18. 180
  19. 10
  20. 4
  21. 12
  22. 40
  23. 40
  24. 14
  25. 8
  26. 312
  27. 59
  28. 36
  29. 28
  30. 66
  31. 8
  32. 66
  33. 30
  34. 38
  35. 42
  36. 47
  37. 42
  38. 39
  39. 21
  40. 27

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