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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 890 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.Divide ₹360 between Aditya and Farhan in the ratio 3 : 5. How much does Aditya get (in ₹)?
  4. 4.Divide ₹133 between Aditya and Vivaan in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  7. 7.11 : 15 = 77 : ?
  8. 8.6 : 5 = 12 : ?
  9. 9.Divide ₹203 between Tara and Farhan in the ratio 6 : 1. How much does Tara get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  11. 11.6 : 2 = 54 : ?
  12. 12.7 : 3 = 42 : ?
  13. 13.5 : 15 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  16. 16.Divide ₹540 between Nisha and Aditya in the ratio 1 : 9. How much does Nisha get (in ₹)?
  17. 17.5 : 6 = 15 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Divide ₹35 between Tara and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  22. 22.Divide ₹350 between Kabir and Saanvi in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  23. 23.7 : 12 = 42 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  25. 25.Divide ₹490 between Nisha and Karan in the ratio 5 : 9. How much does Karan get (in ₹)?
  26. 26.8 : 2 = 24 : ?
  27. 27.Divide ₹369 between Tara and Manav in the ratio 4 : 5. How much does Manav get (in ₹)?
  28. 28.3 : 9 = 27 : ?
  29. 29.4 : 13 = 28 : ?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Divide ₹88 between Ananya and Priya in the ratio 1 : 3. How much does Ananya get (in ₹)?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.4 : 10 = 36 : ?
  34. 34.Divide ₹522 between Kabir and Sneha in the ratio 8 : 1. How much does Kabir get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  37. 37.2 : 5 = 6 : ?
  38. 38.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  40. 40.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).

Answer key

  1. 45
  2. 36
  3. 135
  4. 38
  5. 50
  6. 30
  7. 105
  8. 10
  9. 174
  10. 8
  11. 18
  12. 18
  13. 120
  14. 54
  15. 56
  16. 54
  17. 18
  18. 28
  19. 15
  20. 48
  21. 15
  22. 105
  23. 72
  24. 4
  25. 315
  26. 6
  27. 205
  28. 81
  29. 91
  30. 150
  31. 22
  32. 12
  33. 90
  34. 464
  35. 25
  36. 24
  37. 15
  38. 21
  39. 14
  40. 125

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