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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 712 · 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. 1.6 : 11 = 48 : ?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  6. 6.Divide ₹78 between Zoya and Pooja in the ratio 4 : 9. How much does Zoya get (in ₹)?
  7. 7.Divide ₹230 between Dev and Kavya in the ratio 9 : 1. How much does Kavya get (in ₹)?
  8. 8.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  11. 11.6 : 7 = 24 : ?
  12. 12.5 : 4 = 40 : ?
  13. 13.7 : 15 = 14 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  15. 15.Divide ₹42 between Tara and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  16. 16.Divide ₹448 between Kabir and Pooja in the ratio 9 : 7. How much does Pooja get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  18. 18.Divide ₹78 between Diya and Rohan in the ratio 2 : 1. How much does Rohan get (in ₹)?
  19. 19.2 : 6 = 4 : ?
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  22. 22.9 : 12 = 54 : ?
  23. 23.Divide ₹175 between Tara and Dev in the ratio 4 : 3. How much does Tara get (in ₹)?
  24. 24.10 : 11 = 90 : ?
  25. 25.4 : 2 = 8 : ?
  26. 26.4 : 2 = 36 : ?
  27. 27.Divide ₹198 between Kabir and Farhan in the ratio 4 : 7. How much does Farhan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  31. 31.Divide ₹81 between Manav and Aditya in the ratio 4 : 5. How much does Manav get (in ₹)?
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  35. 35.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  36. 36.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  37. 37.Divide ₹120 between Ishaan and Karan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  38. 38.Divide ₹205 between Pooja and Aditya in the ratio 2 : 3. How much does Pooja get (in ₹)?
  39. 39.Divide ₹252 between Kabir and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  40. 40.Divide ₹684 between Diya and Ishaan in the ratio 7 : 5. How much does Diya get (in ₹)?

Answer key

  1. 88
  2. 48
  3. 40
  4. 10
  5. 7
  6. 24
  7. 23
  8. 72
  9. 32
  10. 27
  11. 28
  12. 32
  13. 30
  14. 18
  15. 28
  16. 196
  17. 35
  18. 26
  19. 12
  20. 45
  21. 12
  22. 72
  23. 100
  24. 99
  25. 4
  26. 18
  27. 126
  28. 12
  29. 70
  30. 40
  31. 36
  32. 16
  33. 4
  34. 28
  35. 18
  36. 20
  37. 80
  38. 82
  39. 216
  40. 399

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