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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 259 · 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.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  3. 3.4 : 14 = 12 : ?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  6. 6.2 : 6 = 10 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  8. 8.11 : 12 = 88 : ?
  9. 9.3 : 5 = 12 : ?
  10. 10.Divide ₹370 between Tara and Arjun in the ratio 1 : 9. How much does Arjun get (in ₹)?
  11. 11.Divide ₹25 between Ananya and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  12. 12.Divide ₹287 between Kabir and Manav in the ratio 3 : 4. How much does Kabir get (in ₹)?
  13. 13.11 : 13 = 44 : ?
  14. 14.Divide ₹280 between Dev and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  16. 16.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  17. 17.Divide ₹960 between Arjun and Pooja in the ratio 9 : 7. How much does Arjun get (in ₹)?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  21. 21.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  22. 22.Divide ₹495 between Zoya and Kavya in the ratio 8 : 7. How much does Zoya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  24. 24.10 : 6 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  26. 26.Divide ₹371 between Aarav and Zoya in the ratio 5 : 2. How much does Aarav get (in ₹)?
  27. 27.Divide ₹324 between Ananya and Farhan in the ratio 5 : 1. How much does Ananya get (in ₹)?
  28. 28.12 : 6 = 60 : ?
  29. 29.5 : 6 = 40 : ?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  32. 32.11 : 15 = 66 : ?
  33. 33.6 : 8 = 36 : ?
  34. 34.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  35. 35.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  37. 37.8 : 2 = 56 : ?
  38. 38.Divide ₹735 between Rahul and Arjun in the ratio 8 : 7. How much does Rahul get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  40. 40.4 : 12 = 36 : ?

Answer key

  1. 9
  2. 4
  3. 42
  4. 8
  5. 2
  6. 30
  7. 12
  8. 96
  9. 20
  10. 333
  11. 5
  12. 123
  13. 52
  14. 105
  15. 12
  16. 96
  17. 540
  18. 32
  19. 30
  20. 64
  21. 128
  22. 264
  23. 5
  24. 12
  25. 32
  26. 265
  27. 270
  28. 30
  29. 48
  30. 4
  31. 27
  32. 90
  33. 48
  34. 80
  35. 12
  36. 24
  37. 14
  38. 392
  39. 6
  40. 108

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