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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 504 · 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 : 3. There are 20 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  5. 5.Divide ₹390 between Aditya and Dev in the ratio 7 : 3. How much does Aditya get (in ₹)?
  6. 6.6 : 8 = 36 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  8. 8.Divide ₹91 between Rahul and Vivaan in the ratio 5 : 2. How much does Rahul get (in ₹)?
  9. 9.Divide ₹90 between Ananya and Rohan in the ratio 5 : 4. How much does Ananya get (in ₹)?
  10. 10.6 : 12 = 12 : ?
  11. 11.3 : 15 = 18 : ?
  12. 12.2 : 3 = 16 : ?
  13. 13.Divide ₹130 between Manav and Sneha in the ratio 5 : 8. How much does Sneha get (in ₹)?
  14. 14.8 : 7 = 32 : ?
  15. 15.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  16. 16.8 : 3 = 64 : ?
  17. 17.Divide ₹100 between Dev and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
  18. 18.Divide ₹170 between Ishaan and Priya in the ratio 1 : 4. How much does Priya get (in ₹)?
  19. 19.Divide ₹170 between Pooja and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.4 : 13 = 24 : ?
  22. 22.Divide ₹126 between Kabir and Sneha in the ratio 4 : 5. How much does Sneha get (in ₹)?
  23. 23.7 : 14 = 35 : ?
  24. 24.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  25. 25.Divide ₹368 between Rohan and Zoya in the ratio 7 : 1. How much does Rohan get (in ₹)?
  26. 26.3 : 11 = 21 : ?
  27. 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  28. 28.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  29. 29.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.Divide ₹126 between Karan and Pooja in the ratio 1 : 2. How much does Pooja get (in ₹)?
  32. 32.12 : 5 = 48 : ?
  33. 33.Divide ₹225 between Meera and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
  34. 34.6 : 9 = 42 : ?
  35. 35.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  36. 36.Divide ₹135 between Kabir and Aarav in the ratio 7 : 2. How much does Kabir get (in ₹)?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Divide ₹540 between Rahul and Diya in the ratio 5 : 4. How much does Rahul get (in ₹)?
  40. 40.Divide ₹144 between Sneha and Nisha in the ratio 4 : 5. How much does Sneha get (in ₹)?

Answer key

  1. 12
  2. 8
  3. 48
  4. 12
  5. 273
  6. 48
  7. 48
  8. 65
  9. 50
  10. 24
  11. 90
  12. 24
  13. 80
  14. 28
  15. 27
  16. 24
  17. 90
  18. 136
  19. 51
  20. 12
  21. 78
  22. 70
  23. 70
  24. 18
  25. 322
  26. 77
  27. 28
  28. 32
  29. 64
  30. 225
  31. 84
  32. 20
  33. 180
  34. 63
  35. 4
  36. 105
  37. 81
  38. 125
  39. 300
  40. 64

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