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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 314 · 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 6 and 24 (that is, 6 : 24 = 24 : ?).
  2. 2.4 : 14 = 36 : ?
  3. 3.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Divide ₹385 between Diya and Kabir in the ratio 3 : 8. How much does Kabir get (in ₹)?
  8. 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  9. 9.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  10. 10.Divide ₹550 between Isha and Nisha in the ratio 9 : 1. How much does Isha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  12. 12.3 : 13 = 9 : ?
  13. 13.10 : 3 = 70 : ?
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.3 : 13 = 21 : ?
  16. 16.7 : 9 = 28 : ?
  17. 17.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  18. 18.4 : 13 = 16 : ?
  19. 19.2 : 7 = 16 : ?
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.7 : 3 = 21 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  24. 24.4 : 13 = 12 : ?
  25. 25.2 : 11 = 12 : ?
  26. 26.Divide ₹420 between Farhan and Kavya in the ratio 7 : 8. How much does Farhan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  29. 29.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  30. 30.2 : 7 = 10 : ?
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.6 : 9 = 42 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  34. 34.6 : 15 = 42 : ?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.6 : 7 = 48 : ?
  37. 37.Divide ₹105 between Sneha and Ananya in the ratio 1 : 4. How much does Sneha get (in ₹)?
  38. 38.11 : 5 = 99 : ?
  39. 39.Divide ₹162 between Saanvi and Farhan in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  40. 40.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).

Answer key

  1. 96
  2. 126
  3. 28
  4. 27
  5. 63
  6. 72
  7. 280
  8. 18
  9. 175
  10. 495
  11. 9
  12. 39
  13. 21
  14. 125
  15. 91
  16. 36
  17. 36
  18. 52
  19. 56
  20. 112
  21. 9
  22. 8
  23. 24
  24. 39
  25. 66
  26. 196
  27. 15
  28. 9
  29. 32
  30. 35
  31. 150
  32. 63
  33. 50
  34. 105
  35. 12
  36. 56
  37. 21
  38. 45
  39. 135
  40. 20

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