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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 551 · 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 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.Divide ₹80 between Sneha and Ishaan in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  4. 4.Divide ₹171 between Arjun and Sneha in the ratio 4 : 5. How much does Arjun get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  8. 8.4 : 12 = 24 : ?
  9. 9.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  10. 10.Divide ₹56 between Aarav and Meera in the ratio 3 : 4. How much does Meera get (in ₹)?
  11. 11.11 : 12 = 22 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  13. 13.Divide ₹175 between Aarav and Sneha in the ratio 1 : 6. How much does Sneha get (in ₹)?
  14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  15. 15.Divide ₹99 between Arjun and Zoya in the ratio 9 : 2. How much does Zoya get (in ₹)?
  16. 16.3 : 5 = 9 : ?
  17. 17.Divide ₹162 between Priya and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  18. 18.12 : 11 = 36 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  22. 22.8 : 11 = 24 : ?
  23. 23.4 : 11 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  25. 25.Divide ₹96 between Meera and Tara in the ratio 1 : 2. How much does Meera get (in ₹)?
  26. 26.Divide ₹605 between Tara and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
  27. 27.Divide ₹119 between Ishaan and Vivaan in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  29. 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  30. 30.3 : 9 = 9 : ?
  31. 31.4 : 7 = 8 : ?
  32. 32.2 : 3 = 14 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 9 : 8. There are 45 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  37. 37.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.4 : 10 = 36 : ?

Answer key

  1. 20
  2. 200
  3. 45
  4. 76
  5. 21
  6. 5
  7. 30
  8. 72
  9. 90
  10. 32
  11. 24
  12. 10
  13. 150
  14. 32
  15. 18
  16. 15
  17. 144
  18. 33
  19. 8
  20. 100
  21. 36
  22. 33
  23. 33
  24. 2
  25. 32
  26. 110
  27. 17
  28. 10
  29. 32
  30. 27
  31. 14
  32. 21
  33. 30
  34. 40
  35. 16
  36. 4
  37. 45
  38. 225
  39. 28
  40. 90

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