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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 204 · 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 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.7 : 15 = 28 : ?
  3. 3.Divide ₹265 between Tara and Dev in the ratio 2 : 3. How much does Tara get (in ₹)?
  4. 4.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  5. 5.Divide ₹112 between Arjun and Aditya in the ratio 6 : 1. How much does Arjun get (in ₹)?
  6. 6.Divide ₹123 between Ishaan and Zoya in the ratio 2 : 1. How much does Zoya get (in ₹)?
  7. 7.Divide ₹168 between Farhan and Aditya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  8. 8.Divide ₹198 between Karan and Arjun in the ratio 1 : 5. How much does Arjun get (in ₹)?
  9. 9.Divide ₹126 between Pooja and Aarav in the ratio 1 : 2. How much does Pooja get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  11. 11.Divide ₹675 between Ishaan and Aarav in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.8 : 3 = 24 : ?
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.Divide ₹270 between Vivaan and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  22. 22.6 : 14 = 54 : ?
  23. 23.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  24. 24.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  25. 25.4 : 10 = 32 : ?
  26. 26.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  27. 27.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  30. 30.12 : 7 = 36 : ?
  31. 31.9 : 5 = 18 : ?
  32. 32.Divide ₹544 between Kavya and Arjun in the ratio 9 : 7. How much does Arjun get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  34. 34.3 : 9 = 12 : ?
  35. 35.4 : 6 = 28 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  37. 37.Divide ₹60 between Arjun and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  38. 38.8 : 12 = 40 : ?
  39. 39.2 : 6 = 8 : ?
  40. 40.5 : 7 = 25 : ?

Answer key

  1. 80
  2. 60
  3. 106
  4. 144
  5. 96
  6. 41
  7. 28
  8. 165
  9. 42
  10. 15
  11. 360
  12. 100
  13. 9
  14. 27
  15. 64
  16. 125
  17. 81
  18. 32
  19. 21
  20. 4
  21. 40
  22. 126
  23. 96
  24. 12
  25. 80
  26. 150
  27. 21
  28. 2
  29. 75
  30. 21
  31. 10
  32. 238
  33. 42
  34. 36
  35. 42
  36. 9
  37. 36
  38. 60
  39. 24
  40. 35

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