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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 797 · 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 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.Divide ₹286 between Sneha and Karan in the ratio 7 : 6. How much does Karan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.Divide ₹429 between Pooja and Karan in the ratio 6 : 5. How much does Karan get (in ₹)?
  6. 6.5 : 10 = 35 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  8. 8.Divide ₹45 between Sneha and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  10. 10.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  11. 11.Divide ₹119 between Saanvi and Rahul in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.7 : 13 = 49 : ?
  14. 14.2 : 5 = 18 : ?
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Divide ₹188 between Isha and Aarav in the ratio 3 : 1. How much does Isha get (in ₹)?
  17. 17.9 : 2 = 63 : ?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  20. 20.8 : 3 = 32 : ?
  21. 21.9 : 13 = 72 : ?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  24. 24.Divide ₹280 between Zoya and Aarav in the ratio 2 : 3. How much does Zoya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  26. 26.Divide ₹518 between Kabir and Aditya in the ratio 9 : 5. How much does Kabir get (in ₹)?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.6 : 3 = 42 : ?
  29. 29.3 : 5 = 6 : ?
  30. 30.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  31. 31.Divide ₹301 between Arjun and Zoya in the ratio 3 : 4. How much does Arjun get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  33. 33.7 : 4 = 14 : ?
  34. 34.9 : 11 = 54 : ?
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  37. 37.8 : 15 = 64 : ?
  38. 38.4 : 5 = 8 : ?
  39. 39.12 : 7 = 72 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?

Answer key

  1. 128
  2. 132
  3. 45
  4. 16
  5. 195
  6. 70
  7. 27
  8. 30
  9. 12
  10. 150
  11. 63
  12. 63
  13. 91
  14. 45
  15. 80
  16. 141
  17. 14
  18. 28
  19. 6
  20. 12
  21. 104
  22. 96
  23. 9
  24. 112
  25. 42
  26. 333
  27. 32
  28. 21
  29. 10
  30. 8
  31. 129
  32. 4
  33. 8
  34. 66
  35. 32
  36. 36
  37. 120
  38. 10
  39. 42
  40. 40

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