← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 692 · 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.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  3. 3.7 : 8 = 35 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  5. 5.8 : 15 = 32 : ?
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  8. 8.9 : 14 = 27 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  10. 10.Divide ₹423 between Aarav and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  13. 13.2 : 12 = 16 : ?
  14. 14.Divide ₹182 between Rohan and Rahul in the ratio 5 : 9. How much does Rohan get (in ₹)?
  15. 15.9 : 5 = 18 : ?
  16. 16.Divide ₹414 between Dev and Ananya in the ratio 8 : 1. How much does Dev get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  18. 18.7 : 11 = 35 : ?
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  21. 21.6 : 10 = 18 : ?
  22. 22.9 : 6 = 72 : ?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  24. 24.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  25. 25.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  26. 26.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  28. 28.12 : 11 = 36 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  30. 30.Divide ₹110 between Pooja and Diya in the ratio 5 : 6. How much does Pooja get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.Divide ₹231 between Kabir and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  39. 39.4 : 5 = 32 : ?
  40. 40.7 : 4 = 49 : ?

Answer key

  1. 63
  2. 10
  3. 40
  4. 9
  5. 60
  6. 32
  7. 75
  8. 42
  9. 12
  10. 329
  11. 40
  12. 6
  13. 96
  14. 65
  15. 10
  16. 368
  17. 14
  18. 55
  19. 8
  20. 36
  21. 30
  22. 48
  23. 3
  24. 96
  25. 72
  26. 90
  27. 48
  28. 33
  29. 12
  30. 50
  31. 42
  32. 12
  33. 27
  34. 42
  35. 64
  36. 35
  37. 35
  38. 144
  39. 40
  40. 28

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude