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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 872 · 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 5 : 4. There are 50 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  5. 5.Divide ₹180 between Manav and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  7. 7.Divide ₹492 between Dev and Farhan in the ratio 7 : 5. How much does Farhan get (in ₹)?
  8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  9. 9.Divide ₹195 between Ishaan and Meera in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  10. 10.Divide ₹110 between Manav and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
  11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.Divide ₹336 between Ishaan and Sneha in the ratio 5 : 2. How much does Ishaan get (in ₹)?
  16. 16.Divide ₹495 between Ananya and Sneha in the ratio 7 : 8. How much does Ananya get (in ₹)?
  17. 17.Divide ₹240 between Rahul and Kabir in the ratio 3 : 5. How much does Kabir get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  19. 19.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  22. 22.Divide ₹288 between Diya and Aarav in the ratio 1 : 5. How much does Aarav get (in ₹)?
  23. 23.Divide ₹130 between Farhan and Sneha in the ratio 7 : 3. How much does Farhan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  25. 25.6 : 4 = 24 : ?
  26. 26.Divide ₹352 between Farhan and Pooja in the ratio 7 : 9. How much does Farhan get (in ₹)?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.Divide ₹120 between Tara and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  29. 29.2 : 8 = 10 : ?
  30. 30.Divide ₹138 between Karan and Priya in the ratio 1 : 2. How much does Karan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  36. 36.4 : 14 = 20 : ?
  37. 37.4 : 7 = 20 : ?
  38. 38.Divide ₹84 between Ishaan and Zoya in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  39. 39.Divide ₹116 between Meera and Isha in the ratio 3 : 1. How much does Meera get (in ₹)?
  40. 40.12 : 7 = 36 : ?

Answer key

  1. 40
  2. 27
  3. 28
  4. 36
  5. 60
  6. 14
  7. 205
  8. 81
  9. 78
  10. 99
  11. 150
  12. 49
  13. 10
  14. 36
  15. 240
  16. 231
  17. 150
  18. 54
  19. 50
  20. 21
  21. 72
  22. 240
  23. 91
  24. 24
  25. 16
  26. 154
  27. 112
  28. 45
  29. 40
  30. 46
  31. 28
  32. 12
  33. 35
  34. 24
  35. 80
  36. 70
  37. 35
  38. 63
  39. 87
  40. 21

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