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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 527 · 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.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.2 : 4 = 12 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  5. 5.10 : 2 = 70 : ?
  6. 6.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  7. 7.11 : 15 = 88 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.Divide ₹162 between Aarav and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  13. 13.Divide ₹396 between Dev and Aditya in the ratio 1 : 8. How much does Aditya get (in ₹)?
  14. 14.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.3 : 4 = 12 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  18. 18.3 : 6 = 15 : ?
  19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  20. 20.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.2 : 7 = 16 : ?
  25. 25.Divide ₹455 between Sneha and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  28. 28.3 : 9 = 21 : ?
  29. 29.Divide ₹517 between Rahul and Zoya in the ratio 4 : 7. How much does Rahul get (in ₹)?
  30. 30.7 : 14 = 63 : ?
  31. 31.4 : 6 = 24 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  34. 34.3 : 2 = 18 : ?
  35. 35.8 : 14 = 32 : ?
  36. 36.Divide ₹392 between Dev and Karan in the ratio 5 : 9. How much does Karan get (in ₹)?
  37. 37.Divide ₹216 between Dev and Karan in the ratio 3 : 1. How much does Karan get (in ₹)?
  38. 38.Divide ₹294 between Manav and Diya in the ratio 1 : 6. How much does Diya get (in ₹)?
  39. 39.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  40. 40.4 : 11 = 24 : ?

Answer key

  1. 27
  2. 200
  3. 24
  4. 16
  5. 14
  6. 30
  7. 120
  8. 72
  9. 32
  10. 18
  11. 32
  12. 36
  13. 352
  14. 28
  15. 80
  16. 16
  17. 18
  18. 30
  19. 225
  20. 40
  21. 35
  22. 48
  23. 16
  24. 56
  25. 315
  26. 8
  27. 12
  28. 63
  29. 188
  30. 126
  31. 36
  32. 24
  33. 15
  34. 12
  35. 56
  36. 252
  37. 54
  38. 252
  39. 81
  40. 66

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