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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 448 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.6 : 10 = 36 : ?
  3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  4. 4.6 : 3 = 12 : ?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Divide ₹550 between Ishaan and Saanvi in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  7. 7.11 : 14 = 88 : ?
  8. 8.Divide ₹100 between Karan and Nisha in the ratio 1 : 9. How much does Karan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  10. 10.Divide ₹126 between Rahul and Dev in the ratio 7 : 2. How much does Dev get (in ₹)?
  11. 11.8 : 9 = 48 : ?
  12. 12.Divide ₹102 between Zoya and Meera in the ratio 8 : 9. How much does Zoya get (in ₹)?
  13. 13.Divide ₹216 between Vivaan and Manav in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  15. 15.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  16. 16.11 : 2 = 66 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  19. 19.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  21. 21.4 : 13 = 20 : ?
  22. 22.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  23. 23.3 : 5 = 18 : ?
  24. 24.5 : 14 = 10 : ?
  25. 25.5 : 9 = 35 : ?
  26. 26.7 : 3 = 63 : ?
  27. 27.12 : 5 = 60 : ?
  28. 28.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  29. 29.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  30. 30.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  31. 31.Divide ₹93 between Arjun and Isha in the ratio 1 : 2. How much does Arjun get (in ₹)?
  32. 32.Divide ₹645 between Vivaan and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  33. 33.Divide ₹155 between Rahul and Ishaan in the ratio 3 : 2. How much does Rahul get (in ₹)?
  34. 34.Divide ₹432 between Aditya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  36. 36.12 : 3 = 84 : ?
  37. 37.Divide ₹121 between Saanvi and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  38. 38.Divide ₹185 between Arjun and Rohan in the ratio 3 : 2. How much does Arjun get (in ₹)?
  39. 39.Divide ₹76 between Manav and Kavya in the ratio 3 : 1. How much does Manav get (in ₹)?
  40. 40.Divide ₹108 between Nisha and Priya in the ratio 7 : 2. How much does Nisha get (in ₹)?

Answer key

  1. 36
  2. 60
  3. 80
  4. 6
  5. 24
  6. 250
  7. 112
  8. 10
  9. 10
  10. 28
  11. 54
  12. 48
  13. 168
  14. 125
  15. 21
  16. 12
  17. 48
  18. 18
  19. 144
  20. 2
  21. 65
  22. 18
  23. 30
  24. 28
  25. 63
  26. 27
  27. 25
  28. 64
  29. 3
  30. 200
  31. 31
  32. 301
  33. 93
  34. 96
  35. 10
  36. 21
  37. 55
  38. 111
  39. 57
  40. 84

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