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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 77 · 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. 1.8 : 7 = 24 : ?
  2. 2.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  3. 3.9 : 13 = 72 : ?
  4. 4.4 : 12 = 8 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  6. 6.Divide ₹63 between Sneha and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  7. 7.Divide ₹442 between Aditya and Diya in the ratio 5 : 8. How much does Aditya get (in ₹)?
  8. 8.Divide ₹50 between Zoya and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  10. 10.12 : 8 = 48 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  14. 14.Divide ₹90 between Sneha and Zoya in the ratio 5 : 1. How much does Sneha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  16. 16.Divide ₹154 between Priya and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  17. 17.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Divide ₹300 between Diya and Pooja in the ratio 1 : 5. How much does Pooja get (in ₹)?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.3 : 15 = 18 : ?
  22. 22.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  26. 26.Divide ₹180 between Rahul and Aarav in the ratio 5 : 4. How much does Rahul get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  29. 29.2 : 9 = 14 : ?
  30. 30.10 : 7 = 30 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  32. 32.Divide ₹245 between Arjun and Aditya in the ratio 4 : 1. How much does Arjun get (in ₹)?
  33. 33.Divide ₹780 between Tara and Dev in the ratio 7 : 6. How much does Tara get (in ₹)?
  34. 34.4 : 9 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  36. 36.Divide ₹385 between Zoya and Kavya in the ratio 4 : 7. How much does Zoya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  39. 39.5 : 3 = 20 : ?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?

Answer key

  1. 21
  2. 56
  3. 104
  4. 24
  5. 36
  6. 42
  7. 170
  8. 5
  9. 45
  10. 32
  11. 50
  12. 24
  13. 32
  14. 75
  15. 48
  16. 110
  17. 72
  18. 75
  19. 250
  20. 28
  21. 90
  22. 14
  23. 18
  24. 49
  25. 9
  26. 100
  27. 28
  28. 40
  29. 63
  30. 21
  31. 18
  32. 196
  33. 420
  34. 54
  35. 40
  36. 140
  37. 3
  38. 20
  39. 12
  40. 45

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