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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 202 · 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. 1.2 : 4 = 8 : ?
  2. 2.8 : 3 = 72 : ?
  3. 3.11 : 4 = 66 : ?
  4. 4.Divide ₹504 between Ananya and Pooja in the ratio 8 : 1. How much does Ananya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  6. 6.4 : 2 = 16 : ?
  7. 7.3 : 4 = 6 : ?
  8. 8.4 : 8 = 24 : ?
  9. 9.7 : 4 = 42 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  13. 13.Divide ₹205 between Diya and Dev in the ratio 2 : 3. How much does Diya get (in ₹)?
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.Divide ₹638 between Priya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  16. 16.Divide ₹378 between Sneha and Nisha in the ratio 5 : 4. How much does Nisha get (in ₹)?
  17. 17.Divide ₹196 between Vivaan and Nisha in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  18. 18.6 : 14 = 12 : ?
  19. 19.Divide ₹121 between Zoya and Tara in the ratio 8 : 3. How much does Tara get (in ₹)?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.Divide ₹140 between Arjun and Isha in the ratio 2 : 5. How much does Isha get (in ₹)?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.12 : 11 = 48 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  25. 25.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.3 : 6 = 9 : ?
  29. 29.9 : 8 = 27 : ?
  30. 30.Divide ₹100 between Tara and Ananya in the ratio 4 : 1. How much does Tara get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  32. 32.11 : 10 = 44 : ?
  33. 33.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  34. 34.11 : 2 = 99 : ?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  37. 37.Divide ₹330 between Isha and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  38. 38.Divide ₹370 between Diya and Zoya in the ratio 1 : 9. How much does Diya get (in ₹)?
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?

Answer key

  1. 16
  2. 27
  3. 24
  4. 448
  5. 30
  6. 8
  7. 8
  8. 48
  9. 24
  10. 75
  11. 24
  12. 12
  13. 82
  14. 150
  15. 522
  16. 168
  17. 112
  18. 28
  19. 33
  20. 100
  21. 100
  22. 12
  23. 44
  24. 10
  25. 225
  26. 20
  27. 96
  28. 18
  29. 24
  30. 80
  31. 6
  32. 40
  33. 64
  34. 18
  35. 5
  36. 7
  37. 231
  38. 37
  39. 200
  40. 27

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