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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 927 · 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. 1.12 : 5 = 84 : ?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  5. 5.Divide ₹171 between Kavya and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
  6. 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  7. 7.Divide ₹72 between Karan and Nisha in the ratio 1 : 3. How much does Karan get (in ₹)?
  8. 8.12 : 2 = 96 : ?
  9. 9.Divide ₹594 between Pooja and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  11. 11.Divide ₹258 between Farhan and Sneha in the ratio 5 : 1. How much does Farhan get (in ₹)?
  12. 12.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  13. 13.3 : 5 = 6 : ?
  14. 14.3 : 4 = 27 : ?
  15. 15.12 : 9 = 108 : ?
  16. 16.Divide ₹112 between Sneha and Aditya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.9 : 11 = 81 : ?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.Divide ₹636 between Manav and Saanvi in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  23. 23.Divide ₹624 between Kabir and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  24. 24.8 : 5 = 40 : ?
  25. 25.11 : 9 = 44 : ?
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  28. 28.Divide ₹207 between Kavya and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  29. 29.8 : 3 = 24 : ?
  30. 30.8 : 11 = 24 : ?
  31. 31.3 : 9 = 9 : ?
  32. 32.2 : 10 = 16 : ?
  33. 33.6 : 8 = 24 : ?
  34. 34.2 : 13 = 8 : ?
  35. 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  39. 39.4 : 11 = 32 : ?
  40. 40.6 : 5 = 18 : ?

Answer key

  1. 35
  2. 16
  3. 18
  4. 3
  5. 95
  6. 32
  7. 18
  8. 16
  9. 270
  10. 80
  11. 215
  12. 96
  13. 10
  14. 36
  15. 81
  16. 84
  17. 4
  18. 144
  19. 99
  20. 12
  21. 371
  22. 14
  23. 336
  24. 25
  25. 36
  26. 81
  27. 40
  28. 92
  29. 9
  30. 33
  31. 27
  32. 80
  33. 32
  34. 52
  35. 20
  36. 100
  37. 40
  38. 24
  39. 88
  40. 15

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