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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 214 · 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 8 : 9. There are 24 boys. How many girls are there?
  2. 2.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  5. 5.Divide ₹407 between Ananya and Rahul in the ratio 5 : 6. How much does Ananya get (in ₹)?
  6. 6.Divide ₹102 between Saanvi and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  7. 7.10 : 5 = 80 : ?
  8. 8.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  9. 9.12 : 5 = 84 : ?
  10. 10.9 : 14 = 36 : ?
  11. 11.Divide ₹35 between Priya and Zoya in the ratio 5 : 2. How much does Priya get (in ₹)?
  12. 12.Divide ₹143 between Meera and Rahul in the ratio 6 : 7. How much does Meera get (in ₹)?
  13. 13.8 : 9 = 16 : ?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  16. 16.9 : 8 = 27 : ?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  20. 20.7 : 12 = 28 : ?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  23. 23.Divide ₹45 between Manav and Sneha in the ratio 3 : 2. How much does Sneha get (in ₹)?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.Divide ₹154 between Priya and Aditya in the ratio 9 : 5. How much does Priya get (in ₹)?
  26. 26.Divide ₹460 between Tara and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  27. 27.3 : 10 = 27 : ?
  28. 28.10 : 3 = 50 : ?
  29. 29.3 : 7 = 12 : ?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.5 : 3 = 15 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  35. 35.Divide ₹133 between Aditya and Ishaan in the ratio 6 : 1. How much does Aditya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  37. 37.10 : 12 = 30 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  39. 39.10 : 9 = 50 : ?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 27
  2. 96
  3. 56
  4. 20
  5. 185
  6. 68
  7. 40
  8. 21
  9. 35
  10. 56
  11. 25
  12. 66
  13. 18
  14. 225
  15. 7
  16. 24
  17. 112
  18. 32
  19. 128
  20. 48
  21. 100
  22. 5
  23. 18
  24. 75
  25. 99
  26. 138
  27. 90
  28. 15
  29. 28
  30. 63
  31. 9
  32. 35
  33. 18
  34. 24
  35. 114
  36. 12
  37. 36
  38. 25
  39. 45
  40. 150

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