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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 709 · 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.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  2. 2.11 : 10 = 99 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  5. 5.Divide ₹189 between Aditya and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
  6. 6.12 : 2 = 72 : ?
  7. 7.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  12. 12.2 : 7 = 14 : ?
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.11 : 3 = 22 : ?
  15. 15.2 : 12 = 4 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  17. 17.Divide ₹136 between Rohan and Ishaan in the ratio 1 : 3. How much does Rohan get (in ₹)?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  20. 20.9 : 8 = 36 : ?
  21. 21.9 : 15 = 63 : ?
  22. 22.9 : 12 = 54 : ?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  25. 25.Divide ₹156 between Sneha and Rohan in the ratio 2 : 1. How much does Sneha get (in ₹)?
  26. 26.Divide ₹128 between Aarav and Arjun in the ratio 3 : 5. How much does Arjun get (in ₹)?
  27. 27.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.Divide ₹405 between Saanvi and Rahul in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  36. 36.6 : 14 = 18 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.Divide ₹130 between Vivaan and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  40. 40.Divide ₹198 between Isha and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?

Answer key

  1. 27
  2. 90
  3. 18
  4. 45
  5. 105
  6. 12
  7. 21
  8. 63
  9. 8
  10. 16
  11. 225
  12. 49
  13. 36
  14. 6
  15. 24
  16. 27
  17. 34
  18. 20
  19. 63
  20. 32
  21. 105
  22. 72
  23. 50
  24. 48
  25. 104
  26. 80
  27. 75
  28. 14
  29. 96
  30. 80
  31. 315
  32. 81
  33. 3
  34. 6
  35. 18
  36. 42
  37. 5
  38. 12
  39. 39
  40. 154

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