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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 668 · 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. 1.7 : 2 = 49 : ?
  2. 2.8 : 10 = 16 : ?
  3. 3.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  8. 8.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  9. 9.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  10. 10.5 : 7 = 35 : ?
  11. 11.Divide ₹30 between Saanvi and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  14. 14.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  16. 16.4 : 5 = 8 : ?
  17. 17.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  18. 18.5 : 8 = 30 : ?
  19. 19.Divide ₹55 between Saanvi and Arjun in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  20. 20.10 : 15 = 80 : ?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  23. 23.12 : 6 = 36 : ?
  24. 24.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  25. 25.Divide ₹780 between Ananya and Pooja in the ratio 8 : 7. How much does Pooja get (in ₹)?
  26. 26.Divide ₹77 between Ananya and Meera in the ratio 8 : 3. How much does Ananya get (in ₹)?
  27. 27.9 : 2 = 45 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  29. 29.Divide ₹384 between Aditya and Ananya in the ratio 7 : 1. How much does Aditya get (in ₹)?
  30. 30.Divide ₹39 between Dev and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Divide ₹92 between Tara and Priya in the ratio 3 : 1. How much does Priya get (in ₹)?
  33. 33.Divide ₹112 between Kavya and Dev in the ratio 5 : 2. How much does Kavya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  35. 35.3 : 10 = 27 : ?
  36. 36.4 : 9 = 28 : ?
  37. 37.Divide ₹351 between Nisha and Karan in the ratio 1 : 8. How much does Nisha get (in ₹)?
  38. 38.10 : 11 = 90 : ?
  39. 39.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  40. 40.Divide ₹160 between Meera and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?

Answer key

  1. 14
  2. 20
  3. 5
  4. 42
  5. 48
  6. 4
  7. 12
  8. 72
  9. 2
  10. 49
  11. 18
  12. 28
  13. 125
  14. 12
  15. 9
  16. 10
  17. 128
  18. 48
  19. 30
  20. 120
  21. 75
  22. 40
  23. 18
  24. 64
  25. 364
  26. 56
  27. 10
  28. 54
  29. 336
  30. 26
  31. 27
  32. 23
  33. 80
  34. 21
  35. 90
  36. 63
  37. 39
  38. 99
  39. 9
  40. 100

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