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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 378 · 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 5 : 2. There are 45 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.2 : 6 = 14 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  7. 7.Divide ₹460 between Ananya and Priya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  8. 8.7 : 13 = 14 : ?
  9. 9.Divide ₹714 between Aarav and Rohan in the ratio 9 : 8. How much does Aarav get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.3 : 13 = 24 : ?
  13. 13.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  15. 15.3 : 10 = 18 : ?
  16. 16.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  17. 17.Divide ₹330 between Kabir and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  20. 20.8 : 11 = 16 : ?
  21. 21.7 : 2 = 35 : ?
  22. 22.Divide ₹252 between Tara and Isha in the ratio 5 : 4. How much does Isha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  24. 24.Divide ₹63 between Farhan and Tara in the ratio 3 : 4. How much does Tara get (in ₹)?
  25. 25.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  26. 26.Divide ₹272 between Priya and Aarav in the ratio 3 : 5. How much does Priya get (in ₹)?
  27. 27.Divide ₹312 between Vivaan and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
  28. 28.Divide ₹944 between Karan and Priya in the ratio 7 : 9. How much does Karan get (in ₹)?
  29. 29.10 : 3 = 40 : ?
  30. 30.Divide ₹185 between Arjun and Pooja in the ratio 2 : 3. How much does Arjun get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  32. 32.11 : 5 = 88 : ?
  33. 33.Divide ₹188 between Ishaan and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  34. 34.Divide ₹180 between Rohan and Ananya in the ratio 7 : 3. How much does Rohan get (in ₹)?
  35. 35.12 : 5 = 36 : ?
  36. 36.9 : 3 = 18 : ?
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  39. 39.Divide ₹333 between Ishaan and Sneha in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?

Answer key

  1. 18
  2. 64
  3. 40
  4. 81
  5. 42
  6. 10
  7. 414
  8. 26
  9. 378
  10. 30
  11. 45
  12. 104
  13. 20
  14. 42
  15. 60
  16. 30
  17. 33
  18. 8
  19. 28
  20. 22
  21. 10
  22. 112
  23. 30
  24. 36
  25. 125
  26. 102
  27. 216
  28. 413
  29. 12
  30. 74
  31. 56
  32. 40
  33. 141
  34. 126
  35. 15
  36. 6
  37. 50
  38. 36
  39. 296
  40. 42

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