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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 880 · 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. 1.3 : 7 = 9 : ?
  2. 2.Divide ₹207 between Dev and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  3. 3.7 : 2 = 63 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  8. 8.11 : 4 = 44 : ?
  9. 9.6 : 8 = 30 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  11. 11.Divide ₹731 between Rahul and Manav in the ratio 9 : 8. How much does Rahul get (in ₹)?
  12. 12.3 : 7 = 24 : ?
  13. 13.Divide ₹216 between Pooja and Karan in the ratio 3 : 5. How much does Pooja get (in ₹)?
  14. 14.Divide ₹315 between Karan and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  15. 15.Divide ₹517 between Arjun and Tara in the ratio 5 : 6. How much does Tara get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  17. 17.Divide ₹75 between Zoya and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  18. 18.5 : 6 = 15 : ?
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.Divide ₹297 between Priya and Kavya in the ratio 9 : 2. How much does Kavya get (in ₹)?
  21. 21.3 : 12 = 18 : ?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.11 : 13 = 66 : ?
  24. 24.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  27. 27.Divide ₹387 between Farhan and Nisha in the ratio 7 : 2. How much does Farhan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  29. 29.Divide ₹77 between Rahul and Diya in the ratio 3 : 8. How much does Rahul get (in ₹)?
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  33. 33.3 : 14 = 24 : ?
  34. 34.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  36. 36.10 : 13 = 70 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?

Answer key

  1. 21
  2. 161
  3. 18
  4. 25
  5. 24
  6. 21
  7. 32
  8. 16
  9. 40
  10. 6
  11. 387
  12. 56
  13. 81
  14. 225
  15. 282
  16. 3
  17. 50
  18. 18
  19. 100
  20. 54
  21. 72
  22. 96
  23. 78
  24. 20
  25. 6
  26. 20
  27. 301
  28. 72
  29. 21
  30. 80
  31. 72
  32. 24
  33. 112
  34. 54
  35. 150
  36. 91
  37. 54
  38. 12
  39. 75
  40. 40

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