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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 811 · 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 12 (that is, 4 : 12 = 12 : ?).
  2. 2.3 : 4 = 27 : ?
  3. 3.5 : 4 = 35 : ?
  4. 4.6 : 10 = 18 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  6. 6.Divide ₹884 between Aditya and Vivaan in the ratio 9 : 8. How much does Aditya get (in ₹)?
  7. 7.3 : 5 = 18 : ?
  8. 8.8 : 14 = 40 : ?
  9. 9.Divide ₹228 between Kabir and Dev in the ratio 1 : 5. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  13. 13.Divide ₹35 between Manav and Sneha in the ratio 4 : 1. How much does Manav get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.Divide ₹477 between Isha and Nisha in the ratio 2 : 7. How much does Isha get (in ₹)?
  19. 19.10 : 11 = 60 : ?
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  22. 22.6 : 9 = 54 : ?
  23. 23.Divide ₹336 between Arjun and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  24. 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  25. 25.Divide ₹66 between Zoya and Pooja in the ratio 5 : 6. How much does Pooja get (in ₹)?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  28. 28.Divide ₹91 between Aarav and Sneha in the ratio 6 : 1. How much does Aarav get (in ₹)?
  29. 29.Divide ₹98 between Pooja and Kavya in the ratio 2 : 5. How much does Kavya get (in ₹)?
  30. 30.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  31. 31.9 : 3 = 81 : ?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.8 : 2 = 16 : ?
  34. 34.2 : 8 = 6 : ?
  35. 35.Divide ₹171 between Arjun and Pooja in the ratio 8 : 1. How much does Arjun get (in ₹)?
  36. 36.Divide ₹180 between Pooja and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹230 between Diya and Kavya in the ratio 3 : 7. How much does Diya get (in ₹)?
  38. 38.12 : 14 = 48 : ?
  39. 39.Divide ₹325 between Karan and Farhan in the ratio 4 : 9. How much does Karan get (in ₹)?
  40. 40.Divide ₹85 between Kavya and Dev in the ratio 3 : 2. How much does Kavya get (in ₹)?

Answer key

  1. 36
  2. 36
  3. 28
  4. 30
  5. 64
  6. 468
  7. 30
  8. 70
  9. 38
  10. 28
  11. 10
  12. 18
  13. 28
  14. 56
  15. 128
  16. 112
  17. 48
  18. 106
  19. 66
  20. 45
  21. 28
  22. 81
  23. 196
  24. 32
  25. 36
  26. 36
  27. 27
  28. 78
  29. 70
  30. 100
  31. 27
  32. 81
  33. 4
  34. 24
  35. 152
  36. 20
  37. 69
  38. 56
  39. 100
  40. 51

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