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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 442 · 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 4 and 20 (that is, 4 : 20 = 20 : ?).
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.10 : 14 = 60 : ?
  5. 5.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  9. 9.Divide ₹627 between Aarav and Meera in the ratio 5 : 6. How much does Meera get (in ₹)?
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.9 : 11 = 36 : ?
  13. 13.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  14. 14.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  17. 17.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  18. 18.3 : 11 = 24 : ?
  19. 19.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  21. 21.Divide ₹342 between Arjun and Isha in the ratio 1 : 5. How much does Arjun get (in ₹)?
  22. 22.7 : 5 = 49 : ?
  23. 23.Divide ₹306 between Kavya and Diya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  24. 24.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  25. 25.11 : 13 = 55 : ?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  28. 28.9 : 7 = 27 : ?
  29. 29.Divide ₹234 between Ishaan and Diya in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  30. 30.Divide ₹156 between Sneha and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  31. 31.Divide ₹203 between Aditya and Manav in the ratio 3 : 4. How much does Aditya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  33. 33.Divide ₹637 between Meera and Ananya in the ratio 7 : 6. How much does Meera get (in ₹)?
  34. 34.Divide ₹126 between Rahul and Sneha in the ratio 6 : 1. How much does Sneha get (in ₹)?
  35. 35.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  36. 36.7 : 2 = 21 : ?
  37. 37.7 : 8 = 21 : ?
  38. 38.4 : 15 = 12 : ?
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.Divide ₹33 between Priya and Aarav in the ratio 1 : 2. How much does Priya get (in ₹)?

Answer key

  1. 100
  2. 6
  3. 50
  4. 84
  5. 36
  6. 14
  7. 200
  8. 75
  9. 342
  10. 20
  11. 8
  12. 44
  13. 96
  14. 7
  15. 35
  16. 45
  17. 14
  18. 88
  19. 7
  20. 24
  21. 57
  22. 35
  23. 272
  24. 48
  25. 65
  26. 12
  27. 21
  28. 21
  29. 26
  30. 117
  31. 87
  32. 14
  33. 343
  34. 18
  35. 32
  36. 6
  37. 24
  38. 45
  39. 125
  40. 11

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