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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 910 · 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.Divide ₹121 between Dev and Aarav in the ratio 7 : 4. How much does Dev get (in ₹)?
  2. 2.10 : 15 = 60 : ?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.Divide ₹525 between Priya and Ishaan in the ratio 8 : 7. How much does Priya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  6. 6.3 : 12 = 9 : ?
  7. 7.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  8. 8.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  9. 9.Divide ₹81 between Rohan and Farhan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  10. 10.2 : 6 = 4 : ?
  11. 11.10 : 13 = 40 : ?
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.5 : 13 = 25 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  15. 15.Divide ₹253 between Kabir and Tara in the ratio 5 : 6. How much does Kabir get (in ₹)?
  16. 16.Divide ₹242 between Dev and Manav in the ratio 6 : 5. How much does Manav get (in ₹)?
  17. 17.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  18. 18.10 : 7 = 40 : ?
  19. 19.Divide ₹286 between Aditya and Vivaan in the ratio 5 : 8. How much does Aditya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  21. 21.8 : 9 = 24 : ?
  22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  25. 25.Divide ₹270 between Pooja and Farhan in the ratio 3 : 7. How much does Pooja get (in ₹)?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.Divide ₹180 between Diya and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  31. 31.Divide ₹90 between Rahul and Ishaan in the ratio 1 : 8. How much does Rahul get (in ₹)?
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.Divide ₹108 between Arjun and Rahul in the ratio 1 : 8. How much does Rahul get (in ₹)?
  38. 38.Divide ₹261 between Farhan and Dev in the ratio 5 : 4. How much does Dev get (in ₹)?
  39. 39.Divide ₹350 between Vivaan and Nisha in the ratio 7 : 3. How much does Nisha get (in ₹)?
  40. 40.4 : 15 = 12 : ?

Answer key

  1. 77
  2. 90
  3. 50
  4. 280
  5. 45
  6. 36
  7. 54
  8. 3
  9. 9
  10. 12
  11. 52
  12. 36
  13. 65
  14. 2
  15. 115
  16. 110
  17. 81
  18. 28
  19. 110
  20. 36
  21. 27
  22. 27
  23. 15
  24. 54
  25. 81
  26. 32
  27. 60
  28. 12
  29. 10
  30. 30
  31. 10
  32. 24
  33. 128
  34. 18
  35. 14
  36. 8
  37. 96
  38. 116
  39. 105
  40. 45

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