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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 417 · 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 : 7. There are 18 boys. How many girls are there?
  2. 2.4 : 13 = 28 : ?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹80 between Meera and Vivaan in the ratio 7 : 9. How much does Meera get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  7. 7.3 : 12 = 24 : ?
  8. 8.Divide ₹612 between Karan and Rohan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  9. 9.11 : 9 = 88 : ?
  10. 10.2 : 15 = 6 : ?
  11. 11.Divide ₹275 between Nisha and Aarav in the ratio 8 : 3. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  13. 13.9 : 3 = 45 : ?
  14. 14.Divide ₹143 between Kabir and Vivaan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  15. 15.Divide ₹72 between Ishaan and Sneha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.3 : 2 = 18 : ?
  18. 18.3 : 2 = 27 : ?
  19. 19.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Divide ₹154 between Pooja and Vivaan in the ratio 8 : 3. How much does Pooja get (in ₹)?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Divide ₹105 between Tara and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.Divide ₹124 between Meera and Sneha in the ratio 1 : 3. How much does Sneha get (in ₹)?
  29. 29.Divide ₹190 between Kabir and Pooja in the ratio 4 : 1. How much does Kabir get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  34. 34.Divide ₹294 between Meera and Saanvi in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  35. 35.Divide ₹360 between Rahul and Aarav in the ratio 5 : 4. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  37. 37.3 : 11 = 9 : ?
  38. 38.2 : 14 = 12 : ?
  39. 39.Divide ₹880 between Zoya and Pooja in the ratio 9 : 7. How much does Zoya get (in ₹)?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 14
  2. 91
  3. 28
  4. 35
  5. 25
  6. 15
  7. 96
  8. 255
  9. 72
  10. 45
  11. 75
  12. 6
  13. 15
  14. 66
  15. 12
  16. 81
  17. 12
  18. 18
  19. 5
  20. 24
  21. 112
  22. 80
  23. 42
  24. 75
  25. 3
  26. 45
  27. 32
  28. 93
  29. 152
  30. 20
  31. 14
  32. 10
  33. 63
  34. 252
  35. 200
  36. 30
  37. 33
  38. 84
  39. 495
  40. 8

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