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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 221 · 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 3 : 1. There are 21 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  6. 6.Divide ₹63 between Aarav and Meera in the ratio 2 : 5. How much does Aarav get (in ₹)?
  7. 7.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  8. 8.2 : 8 = 4 : ?
  9. 9.Divide ₹315 between Ananya and Sneha in the ratio 1 : 8. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  11. 11.8 : 12 = 24 : ?
  12. 12.Divide ₹55 between Aarav and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  13. 13.5 : 2 = 10 : ?
  14. 14.2 : 3 = 12 : ?
  15. 15.3 : 11 = 9 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  17. 17.12 : 4 = 48 : ?
  18. 18.8 : 2 = 64 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  22. 22.11 : 3 = 55 : ?
  23. 23.Divide ₹330 between Saanvi and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  26. 26.Divide ₹825 between Meera and Nisha in the ratio 7 : 8. How much does Meera get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  28. 28.9 : 14 = 63 : ?
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.Divide ₹297 between Zoya and Ananya in the ratio 9 : 2. How much does Ananya get (in ₹)?
  31. 31.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  32. 32.2 : 11 = 8 : ?
  33. 33.Divide ₹110 between Arjun and Dev in the ratio 7 : 3. How much does Arjun get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  36. 36.12 : 14 = 72 : ?
  37. 37.11 : 4 = 99 : ?
  38. 38.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  40. 40.4 : 6 = 16 : ?

Answer key

  1. 7
  2. 64
  3. 16
  4. 20
  5. 8
  6. 18
  7. 36
  8. 16
  9. 35
  10. 63
  11. 36
  12. 22
  13. 4
  14. 18
  15. 33
  16. 3
  17. 16
  18. 16
  19. 4
  20. 21
  21. 24
  22. 15
  23. 270
  24. 8
  25. 28
  26. 385
  27. 32
  28. 98
  29. 54
  30. 54
  31. 72
  32. 44
  33. 77
  34. 14
  35. 2
  36. 84
  37. 36
  38. 4
  39. 4
  40. 24

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