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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 864 · 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 7 : 8. There are 28 boys. How many girls are there?
  2. 2.11 : 12 = 55 : ?
  3. 3.5 : 6 = 30 : ?
  4. 4.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  5. 5.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  6. 6.8 : 5 = 48 : ?
  7. 7.Divide ₹70 between Meera and Farhan in the ratio 7 : 3. How much does Meera get (in ₹)?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  10. 10.4 : 12 = 12 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  17. 17.8 : 11 = 32 : ?
  18. 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.9 : 15 = 18 : ?
  24. 24.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  27. 27.2 : 9 = 12 : ?
  28. 28.Divide ₹261 between Aditya and Priya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  29. 29.3 : 12 = 27 : ?
  30. 30.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  31. 31.6 : 14 = 18 : ?
  32. 32.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  35. 35.Divide ₹418 between Pooja and Kavya in the ratio 2 : 9. How much does Pooja get (in ₹)?
  36. 36.2 : 4 = 4 : ?
  37. 37.Divide ₹708 between Saanvi and Nisha in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  38. 38.11 : 5 = 66 : ?
  39. 39.6 : 10 = 12 : ?
  40. 40.Divide ₹54 between Kabir and Priya in the ratio 1 : 5. How much does Priya get (in ₹)?

Answer key

  1. 32
  2. 60
  3. 36
  4. 48
  5. 45
  6. 30
  7. 49
  8. 18
  9. 49
  10. 36
  11. 8
  12. 24
  13. 81
  14. 9
  15. 14
  16. 4
  17. 44
  18. 128
  19. 25
  20. 21
  21. 28
  22. 80
  23. 30
  24. 100
  25. 36
  26. 20
  27. 54
  28. 29
  29. 108
  30. 20
  31. 42
  32. 20
  33. 24
  34. 49
  35. 76
  36. 8
  37. 295
  38. 30
  39. 20
  40. 45

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