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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 575 · 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. 1.11 : 6 = 77 : ?
  2. 2.10 : 14 = 50 : ?
  3. 3.8 : 7 = 56 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  7. 7.12 : 10 = 84 : ?
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.5 : 8 = 15 : ?
  10. 10.Divide ₹177 between Priya and Kabir in the ratio 2 : 1. How much does Priya get (in ₹)?
  11. 11.5 : 15 = 45 : ?
  12. 12.4 : 2 = 20 : ?
  13. 13.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  14. 14.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.2 : 15 = 18 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  21. 21.Divide ₹310 between Karan and Priya in the ratio 7 : 3. How much does Priya get (in ₹)?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.9 : 11 = 18 : ?
  26. 26.8 : 15 = 72 : ?
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  29. 29.4 : 6 = 20 : ?
  30. 30.8 : 4 = 64 : ?
  31. 31.10 : 3 = 90 : ?
  32. 32.5 : 11 = 35 : ?
  33. 33.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  36. 36.Divide ₹731 between Vivaan and Tara in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  38. 38.11 : 2 = 33 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?

Answer key

  1. 42
  2. 70
  3. 49
  4. 8
  5. 6
  6. 50
  7. 70
  8. 128
  9. 24
  10. 118
  11. 135
  12. 10
  13. 54
  14. 10
  15. 64
  16. 21
  17. 200
  18. 20
  19. 135
  20. 72
  21. 93
  22. 45
  23. 21
  24. 75
  25. 22
  26. 135
  27. 72
  28. 27
  29. 30
  30. 32
  31. 27
  32. 77
  33. 24
  34. 9
  35. 8
  36. 387
  37. 72
  38. 6
  39. 28
  40. 6

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