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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 896 · 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. 1.2 : 5 = 6 : ?
  2. 2.12 : 14 = 72 : ?
  3. 3.7 : 9 = 14 : ?
  4. 4.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  5. 5.6 : 3 = 36 : ?
  6. 6.Divide ₹70 between Rohan and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  9. 9.6 : 9 = 18 : ?
  10. 10.Divide ₹231 between Meera and Priya in the ratio 3 : 4. How much does Meera get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  15. 15.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  17. 17.Divide ₹45 between Arjun and Priya in the ratio 2 : 3. How much does Priya get (in ₹)?
  18. 18.Divide ₹147 between Tara and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?
  19. 19.11 : 14 = 77 : ?
  20. 20.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.Divide ₹616 between Dev and Meera in the ratio 7 : 4. How much does Dev get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  24. 24.Divide ₹416 between Farhan and Nisha in the ratio 7 : 6. How much does Farhan get (in ₹)?
  25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  26. 26.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  27. 27.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  29. 29.2 : 4 = 8 : ?
  30. 30.Divide ₹390 between Aarav and Meera in the ratio 6 : 7. How much does Aarav get (in ₹)?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  34. 34.11 : 9 = 66 : ?
  35. 35.Divide ₹477 between Dev and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  36. 36.Divide ₹253 between Dev and Zoya in the ratio 4 : 7. How much does Dev get (in ₹)?
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  39. 39.7 : 11 = 49 : ?
  40. 40.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?

Answer key

  1. 15
  2. 84
  3. 18
  4. 18
  5. 18
  6. 30
  7. 18
  8. 36
  9. 27
  10. 99
  11. 35
  12. 96
  13. 25
  14. 16
  15. 10
  16. 24
  17. 27
  18. 42
  19. 98
  20. 35
  21. 24
  22. 392
  23. 27
  24. 224
  25. 36
  26. 20
  27. 4
  28. 27
  29. 16
  30. 180
  31. 81
  32. 8
  33. 15
  34. 54
  35. 371
  36. 92
  37. 27
  38. 56
  39. 77
  40. 21

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