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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 318 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.Divide ₹260 between Diya and Aditya in the ratio 2 : 3. How much does Diya get (in ₹)?
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.6 : 8 = 54 : ?
  5. 5.12 : 4 = 108 : ?
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  7. 7.Divide ₹24 between Arjun and Meera in the ratio 1 : 3. How much does Arjun get (in ₹)?
  8. 8.11 : 13 = 66 : ?
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Divide ₹168 between Sneha and Kavya in the ratio 1 : 7. How much does Kavya get (in ₹)?
  13. 13.11 : 7 = 66 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  15. 15.9 : 13 = 45 : ?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.4 : 10 = 16 : ?
  18. 18.11 : 10 = 33 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  20. 20.Divide ₹99 between Saanvi and Aditya in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  21. 21.11 : 2 = 33 : ?
  22. 22.Divide ₹780 between Rahul and Farhan in the ratio 7 : 8. How much does Farhan get (in ₹)?
  23. 23.7 : 13 = 14 : ?
  24. 24.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  25. 25.Divide ₹70 between Pooja and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.3 : 11 = 24 : ?
  28. 28.Divide ₹287 between Saanvi and Ananya in the ratio 4 : 3. How much does Ananya get (in ₹)?
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.7 : 9 = 21 : ?
  31. 31.8 : 7 = 64 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  37. 37.Divide ₹600 between Rohan and Vivaan in the ratio 9 : 1. How much does Rohan get (in ₹)?
  38. 38.Divide ₹105 between Diya and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  40. 40.6 : 14 = 48 : ?

Answer key

  1. 32
  2. 104
  3. 48
  4. 72
  5. 36
  6. 30
  7. 6
  8. 78
  9. 128
  10. 18
  11. 18
  12. 147
  13. 42
  14. 20
  15. 65
  16. 16
  17. 40
  18. 30
  19. 12
  20. 33
  21. 6
  22. 416
  23. 26
  24. 36
  25. 25
  26. 28
  27. 88
  28. 123
  29. 150
  30. 27
  31. 56
  32. 15
  33. 30
  34. 60
  35. 36
  36. 90
  37. 540
  38. 30
  39. 15
  40. 112

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