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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 739 · 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).

NameDateTime takenScore ___ / 40
  1. 1.12 : 11 = 96 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  5. 5.5 : 2 = 10 : ?
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  8. 8.Divide ₹36 between Diya and Dev in the ratio 1 : 3. How much does Dev get (in ₹)?
  9. 9.Divide ₹116 between Dev and Priya in the ratio 1 : 3. How much does Dev get (in ₹)?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Divide ₹63 between Sneha and Rahul in the ratio 2 : 7. How much does Sneha get (in ₹)?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  14. 14.Divide ₹180 between Kabir and Aarav in the ratio 5 : 7. How much does Kabir get (in ₹)?
  15. 15.Divide ₹275 between Ananya and Karan in the ratio 7 : 4. How much does Karan get (in ₹)?
  16. 16.Divide ₹243 between Vivaan and Sneha in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  17. 17.5 : 15 = 10 : ?
  18. 18.9 : 6 = 27 : ?
  19. 19.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.3 : 15 = 21 : ?
  22. 22.Divide ₹231 between Kavya and Sneha in the ratio 2 : 9. How much does Kavya get (in ₹)?
  23. 23.9 : 13 = 45 : ?
  24. 24.10 : 7 = 20 : ?
  25. 25.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  26. 26.10 : 14 = 20 : ?
  27. 27.Divide ₹465 between Tara and Farhan in the ratio 7 : 8. How much does Farhan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  29. 29.Divide ₹105 between Rohan and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  30. 30.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  31. 31.Divide ₹510 between Vivaan and Nisha in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  36. 36.2 : 13 = 8 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  39. 39.Divide ₹104 between Meera and Sneha in the ratio 3 : 1. How much does Meera get (in ₹)?
  40. 40.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).

Answer key

  1. 88
  2. 5
  3. 27
  4. 30
  5. 4
  6. 48
  7. 10
  8. 27
  9. 29
  10. 32
  11. 14
  12. 36
  13. 125
  14. 75
  15. 100
  16. 54
  17. 30
  18. 18
  19. 27
  20. 72
  21. 105
  22. 42
  23. 65
  24. 14
  25. 54
  26. 28
  27. 248
  28. 24
  29. 84
  30. 50
  31. 240
  32. 18
  33. 40
  34. 75
  35. 9
  36. 52
  37. 42
  38. 2
  39. 78
  40. 16

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