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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 433 · 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 9 : 8. There are 63 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  4. 4.Divide ₹440 between Zoya and Aarav in the ratio 8 : 3. How much does Zoya get (in ₹)?
  5. 5.8 : 14 = 32 : ?
  6. 6.Divide ₹117 between Manav and Nisha in the ratio 5 : 8. How much does Manav get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  8. 8.5 : 7 = 20 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  11. 11.Divide ₹216 between Zoya and Karan in the ratio 1 : 7. How much does Zoya get (in ₹)?
  12. 12.Divide ₹35 between Rahul and Diya in the ratio 1 : 6. How much does Rahul get (in ₹)?
  13. 13.11 : 6 = 44 : ?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.7 : 6 = 49 : ?
  16. 16.Divide ₹189 between Kavya and Farhan in the ratio 2 : 7. How much does Kavya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.Divide ₹440 between Sneha and Ananya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  23. 23.2 : 6 = 10 : ?
  24. 24.12 : 8 = 48 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  26. 26.11 : 6 = 88 : ?
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  30. 30.Divide ₹54 between Meera and Diya in the ratio 5 : 1. How much does Meera get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  32. 32.Divide ₹308 between Manav and Dev in the ratio 9 : 2. How much does Manav get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  35. 35.7 : 14 = 49 : ?
  36. 36.10 : 9 = 40 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  38. 38.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  40. 40.8 : 2 = 32 : ?

Answer key

  1. 56
  2. 64
  3. 18
  4. 320
  5. 56
  6. 45
  7. 30
  8. 28
  9. 28
  10. 54
  11. 27
  12. 5
  13. 24
  14. 20
  15. 42
  16. 42
  17. 14
  18. 75
  19. 6
  20. 28
  21. 32
  22. 55
  23. 30
  24. 32
  25. 24
  26. 48
  27. 80
  28. 36
  29. 32
  30. 45
  31. 16
  32. 252
  33. 9
  34. 27
  35. 98
  36. 36
  37. 16
  38. 128
  39. 50
  40. 8

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