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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 558 · 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.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  2. 2.3 : 11 = 24 : ?
  3. 3.Divide ₹324 between Priya and Farhan in the ratio 8 : 1. How much does Farhan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  6. 6.Divide ₹539 between Arjun and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  7. 7.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  8. 8.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  9. 9.Divide ₹42 between Arjun and Rohan in the ratio 1 : 6. How much does Arjun get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.2 : 4 = 14 : ?
  14. 14.Divide ₹56 between Diya and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  15. 15.5 : 13 = 15 : ?
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  18. 18.7 : 3 = 63 : ?
  19. 19.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  20. 20.Divide ₹448 between Arjun and Farhan in the ratio 9 : 7. How much does Arjun get (in ₹)?
  21. 21.Divide ₹176 between Tara and Dev in the ratio 5 : 3. How much does Dev get (in ₹)?
  22. 22.Divide ₹160 between Diya and Dev in the ratio 7 : 9. How much does Diya get (in ₹)?
  23. 23.Divide ₹247 between Priya and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  27. 27.11 : 14 = 77 : ?
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  31. 31.6 : 5 = 18 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  33. 33.5 : 14 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  35. 35.Divide ₹154 between Zoya and Priya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  36. 36.Divide ₹72 between Ananya and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹450 between Aditya and Rahul in the ratio 1 : 9. How much does Rahul get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  40. 40.Divide ₹385 between Saanvi and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?

Answer key

  1. 72
  2. 88
  3. 36
  4. 42
  5. 144
  6. 441
  7. 27
  8. 8
  9. 6
  10. 35
  11. 30
  12. 72
  13. 28
  14. 32
  15. 39
  16. 175
  17. 8
  18. 27
  19. 12
  20. 252
  21. 66
  22. 70
  23. 95
  24. 50
  25. 36
  26. 63
  27. 98
  28. 112
  29. 24
  30. 6
  31. 15
  32. 27
  33. 56
  34. 21
  35. 70
  36. 12
  37. 405
  38. 9
  39. 20
  40. 55

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