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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 858 · 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 7 : 3. There are 49 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.Divide ₹180 between Manav and Rohan in the ratio 3 : 7. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  8. 8.Divide ₹105 between Rohan and Pooja in the ratio 7 : 8. How much does Pooja get (in ₹)?
  9. 9.4 : 8 = 16 : ?
  10. 10.9 : 3 = 36 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  13. 13.5 : 13 = 10 : ?
  14. 14.2 : 3 = 8 : ?
  15. 15.10 : 14 = 30 : ?
  16. 16.6 : 12 = 18 : ?
  17. 17.Divide ₹280 between Aditya and Ananya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.7 : 5 = 42 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  21. 21.7 : 13 = 42 : ?
  22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  23. 23.Divide ₹176 between Aarav and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  25. 25.Divide ₹216 between Rohan and Pooja in the ratio 2 : 7. How much does Rohan get (in ₹)?
  26. 26.Divide ₹767 between Priya and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹517 between Diya and Rahul in the ratio 4 : 7. How much does Rahul get (in ₹)?
  28. 28.Divide ₹203 between Arjun and Nisha in the ratio 4 : 3. How much does Nisha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  30. 30.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  31. 31.Divide ₹119 between Arjun and Sneha in the ratio 6 : 1. How much does Sneha get (in ₹)?
  32. 32.8 : 12 = 24 : ?
  33. 33.7 : 5 = 49 : ?
  34. 34.9 : 14 = 27 : ?
  35. 35.Divide ₹585 between Dev and Diya in the ratio 5 : 8. How much does Dev get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  37. 37.6 : 8 = 54 : ?
  38. 38.3 : 5 = 21 : ?
  39. 39.Divide ₹342 between Ananya and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
  40. 40.Divide ₹369 between Zoya and Kavya in the ratio 1 : 8. How much does Zoya get (in ₹)?

Answer key

  1. 21
  2. 40
  3. 27
  4. 54
  5. 36
  6. 45
  7. 6
  8. 56
  9. 32
  10. 12
  11. 18
  12. 63
  13. 26
  14. 12
  15. 42
  16. 36
  17. 105
  18. 32
  19. 30
  20. 24
  21. 78
  22. 24
  23. 48
  24. 63
  25. 48
  26. 531
  27. 329
  28. 87
  29. 4
  30. 32
  31. 17
  32. 36
  33. 35
  34. 42
  35. 225
  36. 56
  37. 72
  38. 35
  39. 76
  40. 41

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