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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 508 · 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 = 16 : ?
  2. 2.Divide ₹357 between Isha and Saanvi in the ratio 5 : 2. How much does Isha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.Divide ₹406 between Tara and Zoya in the ratio 6 : 1. How much does Tara get (in ₹)?
  6. 6.Divide ₹315 between Tara and Vivaan in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  7. 7.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  8. 8.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  9. 9.7 : 9 = 21 : ?
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  13. 13.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  14. 14.Divide ₹215 between Priya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  15. 15.11 : 9 = 22 : ?
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  20. 20.Divide ₹450 between Karan and Rohan in the ratio 9 : 1. How much does Karan get (in ₹)?
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  23. 23.5 : 11 = 30 : ?
  24. 24.Divide ₹627 between Pooja and Vivaan in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.4 : 7 = 12 : ?
  27. 27.Divide ₹300 between Zoya and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.3 : 6 = 9 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  31. 31.12 : 5 = 48 : ?
  32. 32.11 : 8 = 55 : ?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹95 between Rohan and Dev in the ratio 1 : 4. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  40. 40.Divide ₹480 between Rahul and Sneha in the ratio 9 : 7. How much does Sneha get (in ₹)?

Answer key

  1. 14
  2. 255
  3. 30
  4. 72
  5. 348
  6. 90
  7. 125
  8. 27
  9. 27
  10. 24
  11. 48
  12. 32
  13. 96
  14. 86
  15. 18
  16. 32
  17. 25
  18. 42
  19. 75
  20. 405
  21. 64
  22. 4
  23. 66
  24. 285
  25. 18
  26. 21
  27. 50
  28. 12
  29. 18
  30. 20
  31. 20
  32. 40
  33. 225
  34. 27
  35. 36
  36. 19
  37. 54
  38. 35
  39. 6
  40. 210

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