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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 733 · 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. 1.9 : 11 = 72 : ?
  2. 2.11 : 10 = 88 : ?
  3. 3.Divide ₹129 between Meera and Arjun in the ratio 1 : 2. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  5. 5.4 : 10 = 36 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.Divide ₹36 between Tara and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
  9. 9.Divide ₹225 between Karan and Farhan in the ratio 2 : 7. How much does Farhan get (in ₹)?
  10. 10.Divide ₹286 between Karan and Rahul in the ratio 2 : 9. How much does Karan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  12. 12.5 : 11 = 45 : ?
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.4 : 11 = 28 : ?
  15. 15.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  16. 16.Divide ₹176 between Arjun and Kavya in the ratio 6 : 5. How much does Kavya get (in ₹)?
  17. 17.8 : 9 = 56 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  20. 20.Divide ₹350 between Aditya and Sneha in the ratio 2 : 5. How much does Aditya get (in ₹)?
  21. 21.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  22. 22.Divide ₹143 between Meera and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
  23. 23.7 : 12 = 56 : ?
  24. 24.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  25. 25.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  27. 27.5 : 9 = 30 : ?
  28. 28.Divide ₹403 between Pooja and Zoya in the ratio 9 : 4. How much does Zoya get (in ₹)?
  29. 29.9 : 4 = 45 : ?
  30. 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  31. 31.10 : 5 = 30 : ?
  32. 32.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  33. 33.3 : 9 = 6 : ?
  34. 34.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  35. 35.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.12 : 2 = 72 : ?
  38. 38.12 : 11 = 84 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?

Answer key

  1. 88
  2. 80
  3. 43
  4. 15
  5. 90
  6. 18
  7. 48
  8. 12
  9. 175
  10. 52
  11. 24
  12. 99
  13. 150
  14. 77
  15. 8
  16. 80
  17. 63
  18. 8
  19. 27
  20. 100
  21. 36
  22. 52
  23. 96
  24. 36
  25. 3
  26. 18
  27. 54
  28. 124
  29. 20
  30. 28
  31. 15
  32. 27
  33. 18
  34. 54
  35. 100
  36. 128
  37. 12
  38. 77
  39. 16
  40. 25

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