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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 293 · 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 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.Divide ₹306 between Tara and Saanvi in the ratio 8 : 9. How much does Saanvi get (in ₹)?
  3. 3.12 : 5 = 60 : ?
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.Divide ₹126 between Ishaan and Saanvi in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  10. 10.10 : 11 = 60 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  15. 15.7 : 15 = 56 : ?
  16. 16.Divide ₹343 between Dev and Kavya in the ratio 6 : 1. How much does Dev get (in ₹)?
  17. 17.2 : 3 = 4 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  19. 19.12 : 3 = 96 : ?
  20. 20.Divide ₹266 between Kavya and Saanvi in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  21. 21.3 : 2 = 12 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  24. 24.Divide ₹440 between Rahul and Isha in the ratio 1 : 7. How much does Isha get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  26. 26.4 : 11 = 16 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  28. 28.6 : 8 = 12 : ?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  31. 31.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  32. 32.7 : 11 = 56 : ?
  33. 33.11 : 2 = 99 : ?
  34. 34.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  35. 35.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  36. 36.2 : 12 = 10 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  39. 39.Divide ₹513 between Zoya and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  40. 40.Divide ₹72 between Rohan and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?

Answer key

  1. 8
  2. 162
  3. 25
  4. 63
  5. 28
  6. 48
  7. 105
  8. 112
  9. 81
  10. 66
  11. 18
  12. 27
  13. 225
  14. 35
  15. 120
  16. 294
  17. 6
  18. 40
  19. 24
  20. 38
  21. 8
  22. 8
  23. 12
  24. 385
  25. 24
  26. 44
  27. 40
  28. 16
  29. 125
  30. 64
  31. 2
  32. 88
  33. 18
  34. 96
  35. 175
  36. 60
  37. 30
  38. 8
  39. 114
  40. 27

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