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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 307 · 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.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.12 : 5 = 96 : ?
  3. 3.Divide ₹450 between Vivaan and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  6. 6.12 : 15 = 48 : ?
  7. 7.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  8. 8.2 : 10 = 18 : ?
  9. 9.Divide ₹200 between Vivaan and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  10. 10.11 : 2 = 66 : ?
  11. 11.6 : 3 = 12 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.Divide ₹95 between Kabir and Zoya in the ratio 4 : 1. How much does Kabir get (in ₹)?
  15. 15.Divide ₹578 between Farhan and Rohan in the ratio 8 : 9. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.9 : 10 = 81 : ?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.12 : 8 = 72 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  22. 22.9 : 13 = 72 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  24. 24.Divide ₹288 between Kabir and Ishaan in the ratio 1 : 5. How much does Kabir get (in ₹)?
  25. 25.4 : 7 = 32 : ?
  26. 26.Divide ₹136 between Kavya and Tara in the ratio 3 : 5. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  29. 29.10 : 3 = 40 : ?
  30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.Divide ₹370 between Saanvi and Nisha in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  33. 33.Divide ₹272 between Dev and Diya in the ratio 9 : 7. How much does Dev get (in ₹)?
  34. 34.Divide ₹480 between Kavya and Rohan in the ratio 8 : 7. How much does Kavya get (in ₹)?
  35. 35.Divide ₹112 between Sneha and Tara in the ratio 5 : 3. How much does Sneha get (in ₹)?
  36. 36.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  37. 37.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  38. 38.Divide ₹124 between Ishaan and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  40. 40.Divide ₹126 between Aditya and Sneha in the ratio 2 : 7. How much does Aditya get (in ₹)?

Answer key

  1. 200
  2. 40
  3. 210
  4. 48
  5. 10
  6. 60
  7. 20
  8. 90
  9. 150
  10. 12
  11. 6
  12. 16
  13. 64
  14. 76
  15. 272
  16. 24
  17. 75
  18. 90
  19. 27
  20. 48
  21. 2
  22. 104
  23. 50
  24. 48
  25. 56
  26. 85
  27. 3
  28. 56
  29. 12
  30. 36
  31. 16
  32. 37
  33. 153
  34. 256
  35. 70
  36. 63
  37. 14
  38. 31
  39. 10
  40. 28

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