← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 600 · 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 28 (that is, 7 : 28 = 28 : ?).
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  5. 5.10 : 3 = 30 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.12 : 3 = 24 : ?
  11. 11.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  16. 16.Divide ₹130 between Ananya and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.10 : 9 = 40 : ?
  20. 20.Divide ₹336 between Pooja and Isha in the ratio 1 : 5. How much does Pooja get (in ₹)?
  21. 21.3 : 4 = 21 : ?
  22. 22.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  24. 24.2 : 14 = 12 : ?
  25. 25.Divide ₹462 between Meera and Arjun in the ratio 5 : 9. How much does Meera get (in ₹)?
  26. 26.Divide ₹88 between Isha and Ananya in the ratio 9 : 2. How much does Isha get (in ₹)?
  27. 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  28. 28.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  29. 29.Divide ₹135 between Dev and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  30. 30.Divide ₹200 between Priya and Arjun in the ratio 4 : 1. How much does Arjun get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  33. 33.10 : 5 = 90 : ?
  34. 34.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 5. There are 18 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.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  39. 39.7 : 10 = 21 : ?
  40. 40.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?

Answer key

  1. 112
  2. 9
  3. 36
  4. 56
  5. 9
  6. 18
  7. 30
  8. 75
  9. 20
  10. 6
  11. 28
  12. 24
  13. 16
  14. 81
  15. 45
  16. 52
  17. 24
  18. 28
  19. 36
  20. 56
  21. 28
  22. 21
  23. 18
  24. 84
  25. 165
  26. 72
  27. 48
  28. 18
  29. 30
  30. 40
  31. 90
  32. 4
  33. 45
  34. 25
  35. 15
  36. 24
  37. 27
  38. 80
  39. 30
  40. 14

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