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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 308 · 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 2 : 3. There are 18 boys. How many girls are there?
  2. 2.3 : 12 = 6 : ?
  3. 3.11 : 12 = 33 : ?
  4. 4.Divide ₹546 between Ananya and Diya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Divide ₹286 between Tara and Priya in the ratio 5 : 8. How much does Tara get (in ₹)?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  10. 10.Divide ₹36 between Isha and Ananya in the ratio 2 : 1. How much does Isha get (in ₹)?
  11. 11.8 : 11 = 40 : ?
  12. 12.Divide ₹517 between Priya and Pooja in the ratio 9 : 2. How much does Pooja get (in ₹)?
  13. 13.5 : 15 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  15. 15.7 : 8 = 35 : ?
  16. 16.2 : 5 = 12 : ?
  17. 17.4 : 5 = 32 : ?
  18. 18.3 : 2 = 6 : ?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  23. 23.Divide ₹126 between Ishaan and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  24. 24.7 : 11 = 42 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  26. 26.12 : 11 = 60 : ?
  27. 27.7 : 13 = 42 : ?
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  30. 30.7 : 11 = 49 : ?
  31. 31.Divide ₹132 between Manav and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  32. 32.4 : 15 = 8 : ?
  33. 33.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Divide ₹120 between Meera and Zoya in the ratio 7 : 8. How much does Meera get (in ₹)?
  37. 37.Divide ₹56 between Rahul and Priya in the ratio 6 : 1. How much does Rahul get (in ₹)?
  38. 38.Divide ₹60 between Diya and Kabir in the ratio 4 : 1. How much does Diya get (in ₹)?
  39. 39.8 : 6 = 24 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?

Answer key

  1. 27
  2. 24
  3. 36
  4. 378
  5. 225
  6. 24
  7. 110
  8. 144
  9. 45
  10. 24
  11. 55
  12. 94
  13. 120
  14. 9
  15. 40
  16. 30
  17. 40
  18. 4
  19. 16
  20. 45
  21. 50
  22. 56
  23. 28
  24. 66
  25. 12
  26. 55
  27. 78
  28. 32
  29. 20
  30. 77
  31. 96
  32. 30
  33. 36
  34. 9
  35. 12
  36. 56
  37. 48
  38. 48
  39. 18
  40. 20

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