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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 664 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹200 between Zoya and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  4. 4.6 : 3 = 42 : ?
  5. 5.Divide ₹132 between Arjun and Tara in the ratio 4 : 7. How much does Tara get (in ₹)?
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  10. 10.Divide ₹407 between Ishaan and Pooja in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  15. 15.Divide ₹156 between Diya and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  18. 18.6 : 11 = 54 : ?
  19. 19.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  20. 20.Divide ₹507 between Tara and Meera in the ratio 7 : 6. How much does Tara get (in ₹)?
  21. 21.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  22. 22.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  23. 23.2 : 8 = 8 : ?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  26. 26.Divide ₹108 between Kabir and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  27. 27.Divide ₹250 between Ishaan and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  28. 28.12 : 11 = 60 : ?
  29. 29.3 : 2 = 24 : ?
  30. 30.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.6 : 5 = 30 : ?
  33. 33.9 : 13 = 18 : ?
  34. 34.Divide ₹40 between Ananya and Vivaan in the ratio 3 : 1. How much does Vivaan get (in ₹)?
  35. 35.Divide ₹286 between Arjun and Farhan in the ratio 8 : 3. How much does Farhan get (in ₹)?
  36. 36.7 : 2 = 14 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  39. 39.Divide ₹238 between Aarav and Kabir in the ratio 5 : 2. How much does Aarav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?

Answer key

  1. 150
  2. 18
  3. 24
  4. 21
  5. 84
  6. 175
  7. 45
  8. 125
  9. 3
  10. 296
  11. 64
  12. 12
  13. 21
  14. 48
  15. 26
  16. 128
  17. 42
  18. 99
  19. 200
  20. 273
  21. 225
  22. 28
  23. 32
  24. 9
  25. 14
  26. 24
  27. 225
  28. 55
  29. 16
  30. 10
  31. 100
  32. 25
  33. 26
  34. 10
  35. 78
  36. 4
  37. 28
  38. 25
  39. 170
  40. 3

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