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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 129 · 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. 1.2 : 10 = 16 : ?
  2. 2.6 : 5 = 24 : ?
  3. 3.6 : 7 = 12 : ?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  6. 6.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  7. 7.2 : 12 = 6 : ?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.Divide ₹297 between Ishaan and Kabir in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  13. 13.2 : 14 = 18 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  16. 16.Divide ₹70 between Priya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.Divide ₹252 between Vivaan and Ananya in the ratio 1 : 5. How much does Ananya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  24. 24.7 : 13 = 56 : ?
  25. 25.12 : 9 = 36 : ?
  26. 26.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  28. 28.Divide ₹72 between Sneha and Ananya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  29. 29.3 : 10 = 15 : ?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.Divide ₹190 between Dev and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  32. 32.10 : 7 = 80 : ?
  33. 33.8 : 14 = 72 : ?
  34. 34.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  36. 36.Divide ₹155 between Priya and Meera in the ratio 4 : 1. How much does Meera get (in ₹)?
  37. 37.4 : 3 = 20 : ?
  38. 38.Divide ₹301 between Rohan and Aditya in the ratio 6 : 1. How much does Rohan get (in ₹)?
  39. 39.Divide ₹176 between Vivaan and Sneha in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?

Answer key

  1. 80
  2. 20
  3. 14
  4. 100
  5. 18
  6. 225
  7. 36
  8. 12
  9. 66
  10. 9
  11. 2
  12. 32
  13. 126
  14. 6
  15. 54
  16. 28
  17. 112
  18. 18
  19. 200
  20. 45
  21. 210
  22. 21
  23. 90
  24. 104
  25. 27
  26. 150
  27. 27
  28. 9
  29. 50
  30. 24
  31. 19
  32. 56
  33. 126
  34. 49
  35. 27
  36. 31
  37. 15
  38. 258
  39. 44
  40. 64

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