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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 55 · 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.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.Divide ₹432 between Nisha and Kavya in the ratio 1 : 8. How much does Nisha get (in ₹)?
  3. 3.3 : 7 = 6 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  8. 8.Divide ₹133 between Aditya and Karan in the ratio 5 : 2. How much does Aditya get (in ₹)?
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.Divide ₹260 between Arjun and Tara in the ratio 9 : 4. How much does Arjun get (in ₹)?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.2 : 12 = 4 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  15. 15.Divide ₹91 between Arjun and Diya in the ratio 5 : 2. How much does Arjun get (in ₹)?
  16. 16.2 : 14 = 8 : ?
  17. 17.8 : 4 = 72 : ?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.12 : 15 = 108 : ?
  20. 20.8 : 3 = 16 : ?
  21. 21.Divide ₹555 between Aarav and Farhan in the ratio 8 : 7. How much does Aarav get (in ₹)?
  22. 22.12 : 15 = 48 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  25. 25.5 : 15 = 10 : ?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  30. 30.Divide ₹60 between Karan and Pooja in the ratio 3 : 2. How much does Karan get (in ₹)?
  31. 31.Divide ₹228 between Ananya and Meera in the ratio 5 : 7. How much does Ananya get (in ₹)?
  32. 32.9 : 2 = 27 : ?
  33. 33.Divide ₹154 between Kabir and Ananya in the ratio 8 : 3. How much does Kabir get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  35. 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.9 : 4 = 72 : ?
  39. 39.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  40. 40.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?

Answer key

  1. 100
  2. 48
  3. 14
  4. 16
  5. 175
  6. 28
  7. 12
  8. 95
  9. 54
  10. 180
  11. 144
  12. 24
  13. 49
  14. 2
  15. 65
  16. 56
  17. 36
  18. 112
  19. 135
  20. 6
  21. 296
  22. 60
  23. 12
  24. 6
  25. 30
  26. 12
  27. 80
  28. 12
  29. 9
  30. 36
  31. 95
  32. 6
  33. 112
  34. 27
  35. 125
  36. 200
  37. 50
  38. 32
  39. 72
  40. 10

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