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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 714 · 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).

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  1. 1.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.Divide ₹195 between Diya and Aarav in the ratio 7 : 6. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.7 : 11 = 56 : ?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  11. 11.6 : 15 = 54 : ?
  12. 12.Divide ₹172 between Ananya and Aditya in the ratio 1 : 3. How much does Ananya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  14. 14.Divide ₹494 between Aditya and Rohan in the ratio 7 : 6. How much does Aditya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.11 : 9 = 88 : ?
  19. 19.6 : 3 = 42 : ?
  20. 20.Divide ₹45 between Dev and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  21. 21.Divide ₹27 between Karan and Isha in the ratio 2 : 1. How much does Karan get (in ₹)?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.6 : 11 = 12 : ?
  24. 24.11 : 14 = 44 : ?
  25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  26. 26.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  27. 27.Divide ₹66 between Meera and Rahul in the ratio 1 : 5. How much does Rahul get (in ₹)?
  28. 28.11 : 4 = 33 : ?
  29. 29.7 : 4 = 14 : ?
  30. 30.Divide ₹33 between Aarav and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.2 : 3 = 12 : ?
  33. 33.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  35. 35.6 : 2 = 54 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  37. 37.Divide ₹705 between Rohan and Zoya in the ratio 8 : 7. How much does Zoya get (in ₹)?
  38. 38.Divide ₹88 between Sneha and Farhan in the ratio 1 : 3. How much does Farhan get (in ₹)?
  39. 39.7 : 5 = 56 : ?
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 32
  2. 18
  3. 105
  4. 40
  5. 60
  6. 64
  7. 88
  8. 80
  9. 6
  10. 10
  11. 135
  12. 43
  13. 6
  14. 266
  15. 30
  16. 24
  17. 75
  18. 72
  19. 21
  20. 25
  21. 18
  22. 54
  23. 22
  24. 56
  25. 36
  26. 72
  27. 55
  28. 12
  29. 8
  30. 22
  31. 81
  32. 18
  33. 16
  34. 12
  35. 18
  36. 50
  37. 329
  38. 66
  39. 40
  40. 36

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