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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 248 · 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 9 : 2. There are 27 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  5. 5.Divide ₹30 between Aditya and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  6. 6.3 : 11 = 6 : ?
  7. 7.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  8. 8.Divide ₹77 between Ananya and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  9. 9.10 : 8 = 30 : ?
  10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  11. 11.8 : 2 = 40 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  13. 13.Divide ₹1020 between Rahul and Aditya in the ratio 8 : 9. How much does Aditya get (in ₹)?
  14. 14.7 : 13 = 28 : ?
  15. 15.7 : 9 = 14 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  17. 17.8 : 3 = 64 : ?
  18. 18.Divide ₹143 between Sneha and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  19. 19.11 : 12 = 99 : ?
  20. 20.Divide ₹48 between Kabir and Ananya in the ratio 3 : 5. How much does Ananya get (in ₹)?
  21. 21.Divide ₹110 between Kabir and Karan in the ratio 1 : 4. How much does Kabir get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  23. 23.Divide ₹354 between Rahul and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  25. 25.3 : 11 = 27 : ?
  26. 26.Divide ₹330 between Meera and Pooja in the ratio 1 : 5. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.Divide ₹198 between Aarav and Rohan in the ratio 2 : 7. How much does Aarav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  30. 30.10 : 7 = 70 : ?
  31. 31.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  32. 32.12 : 2 = 96 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  34. 34.2 : 15 = 14 : ?
  35. 35.Divide ₹245 between Kavya and Manav in the ratio 2 : 3. How much does Kavya get (in ₹)?
  36. 36.Divide ₹30 between Zoya and Tara in the ratio 5 : 1. How much does Zoya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.Divide ₹752 between Dev and Kabir in the ratio 9 : 7. How much does Kabir get (in ₹)?
  40. 40.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).

Answer key

  1. 6
  2. 63
  3. 8
  4. 72
  5. 12
  6. 22
  7. 128
  8. 55
  9. 24
  10. 100
  11. 10
  12. 4
  13. 540
  14. 52
  15. 18
  16. 6
  17. 24
  18. 44
  19. 108
  20. 30
  21. 22
  22. 32
  23. 59
  24. 20
  25. 99
  26. 55
  27. 200
  28. 44
  29. 8
  30. 49
  31. 56
  32. 16
  33. 8
  34. 105
  35. 98
  36. 25
  37. 21
  38. 75
  39. 329
  40. 80

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