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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 944 · 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 3 : 2. There are 6 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  5. 5.8 : 9 = 64 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  7. 7.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  8. 8.4 : 5 = 28 : ?
  9. 9.5 : 4 = 25 : ?
  10. 10.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  11. 11.3 : 10 = 12 : ?
  12. 12.Divide ₹63 between Arjun and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  14. 14.Divide ₹126 between Aditya and Sneha in the ratio 5 : 9. How much does Sneha get (in ₹)?
  15. 15.Divide ₹640 between Dev and Vivaan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  16. 16.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  17. 17.Divide ₹80 between Sneha and Meera in the ratio 9 : 7. How much does Meera get (in ₹)?
  18. 18.7 : 8 = 63 : ?
  19. 19.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  20. 20.9 : 6 = 18 : ?
  21. 21.Divide ₹144 between Isha and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
  22. 22.Divide ₹144 between Ananya and Kabir in the ratio 7 : 1. How much does Ananya get (in ₹)?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.8 : 10 = 24 : ?
  25. 25.Divide ₹322 between Meera and Sneha in the ratio 9 : 5. How much does Meera get (in ₹)?
  26. 26.9 : 14 = 27 : ?
  27. 27.Divide ₹221 between Sneha and Rohan in the ratio 9 : 8. How much does Sneha get (in ₹)?
  28. 28.12 : 7 = 36 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  31. 31.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  32. 32.Divide ₹330 between Nisha and Arjun in the ratio 5 : 6. How much does Nisha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  38. 38.8 : 6 = 56 : ?
  39. 39.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  40. 40.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?

Answer key

  1. 4
  2. 16
  3. 8
  4. 6
  5. 72
  6. 24
  7. 50
  8. 35
  9. 20
  10. 12
  11. 40
  12. 18
  13. 27
  14. 81
  15. 360
  16. 18
  17. 35
  18. 72
  19. 96
  20. 12
  21. 48
  22. 126
  23. 45
  24. 30
  25. 207
  26. 42
  27. 117
  28. 21
  29. 16
  30. 30
  31. 28
  32. 150
  33. 8
  34. 32
  35. 14
  36. 50
  37. 32
  38. 42
  39. 20
  40. 42

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