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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 419 · 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. 1.11 : 2 = 99 : ?
  2. 2.7 : 9 = 56 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  6. 6.7 : 6 = 28 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  9. 9.2 : 3 = 18 : ?
  10. 10.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  12. 12.3 : 8 = 15 : ?
  13. 13.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  17. 17.Divide ₹611 between Pooja and Tara in the ratio 7 : 6. How much does Tara get (in ₹)?
  18. 18.2 : 10 = 4 : ?
  19. 19.Divide ₹418 between Aditya and Kavya in the ratio 8 : 3. How much does Kavya get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  22. 22.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  23. 23.6 : 14 = 42 : ?
  24. 24.Divide ₹90 between Rahul and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  27. 27.12 : 3 = 24 : ?
  28. 28.Divide ₹658 between Ananya and Tara in the ratio 5 : 9. How much does Tara get (in ₹)?
  29. 29.2 : 8 = 6 : ?
  30. 30.Divide ₹30 between Aarav and Vivaan in the ratio 2 : 3. How much does Aarav get (in ₹)?
  31. 31.Divide ₹287 between Rohan and Ishaan in the ratio 5 : 2. How much does Ishaan get (in ₹)?
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.10 : 2 = 30 : ?
  37. 37.7 : 14 = 21 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  40. 40.Divide ₹105 between Dev and Diya in the ratio 4 : 3. How much does Dev get (in ₹)?

Answer key

  1. 18
  2. 72
  3. 6
  4. 24
  5. 15
  6. 24
  7. 20
  8. 70
  9. 27
  10. 6
  11. 20
  12. 40
  13. 28
  14. 72
  15. 32
  16. 15
  17. 282
  18. 20
  19. 114
  20. 20
  21. 18
  22. 81
  23. 98
  24. 20
  25. 75
  26. 225
  27. 6
  28. 423
  29. 24
  30. 12
  31. 82
  32. 48
  33. 16
  34. 16
  35. 50
  36. 6
  37. 42
  38. 15
  39. 15
  40. 60

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