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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 866 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  3. 3.9 : 8 = 72 : ?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  7. 7.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  8. 8.3 : 15 = 27 : ?
  9. 9.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  10. 10.Divide ₹90 between Isha and Ishaan in the ratio 7 : 2. How much does Isha get (in ₹)?
  11. 11.8 : 2 = 40 : ?
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.Divide ₹238 between Nisha and Kavya in the ratio 8 : 9. How much does Kavya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  15. 15.Divide ₹198 between Saanvi and Ishaan in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  16. 16.3 : 15 = 6 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  18. 18.10 : 15 = 40 : ?
  19. 19.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  20. 20.12 : 9 = 72 : ?
  21. 21.8 : 6 = 48 : ?
  22. 22.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  23. 23.Divide ₹504 between Pooja and Sneha in the ratio 5 : 4. How much does Pooja get (in ₹)?
  24. 24.10 : 8 = 20 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  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 7 : 2. There are 14 boys. How many girls are there?
  28. 28.6 : 10 = 54 : ?
  29. 29.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  31. 31.5 : 11 = 40 : ?
  32. 32.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  33. 33.Divide ₹148 between Kabir and Ananya in the ratio 1 : 3. How much does Kabir get (in ₹)?
  34. 34.Divide ₹63 between Pooja and Diya in the ratio 1 : 6. How much does Diya get (in ₹)?
  35. 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  38. 38.8 : 9 = 40 : ?
  39. 39.12 : 11 = 24 : ?
  40. 40.2 : 11 = 18 : ?

Answer key

  1. 32
  2. 6
  3. 64
  4. 16
  5. 70
  6. 10
  7. 112
  8. 135
  9. 15
  10. 70
  11. 10
  12. 27
  13. 126
  14. 63
  15. 165
  16. 30
  17. 20
  18. 60
  19. 9
  20. 54
  21. 36
  22. 18
  23. 280
  24. 16
  25. 24
  26. 150
  27. 4
  28. 90
  29. 80
  30. 4
  31. 88
  32. 96
  33. 37
  34. 54
  35. 20
  36. 64
  37. 24
  38. 45
  39. 22
  40. 99

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