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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 803 · 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 24 (that is, 8 : 24 = 24 : ?).
  2. 2.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  6. 6.9 : 5 = 27 : ?
  7. 7.5 : 14 = 10 : ?
  8. 8.12 : 9 = 36 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.Divide ₹30 between Tara and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  13. 13.4 : 13 = 24 : ?
  14. 14.Divide ₹129 between Ishaan and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  17. 17.Divide ₹182 between Kavya and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  18. 18.Divide ₹440 between Aditya and Manav in the ratio 7 : 4. How much does Aditya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  21. 21.Divide ₹77 between Aditya and Pooja in the ratio 1 : 6. How much does Aditya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  24. 24.Divide ₹150 between Diya and Rohan in the ratio 7 : 8. How much does Diya get (in ₹)?
  25. 25.8 : 11 = 72 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  27. 27.Divide ₹170 between Kabir and Ananya in the ratio 9 : 8. How much does Kabir get (in ₹)?
  28. 28.6 : 10 = 48 : ?
  29. 29.The ratio of boys to girls in a class is 5 : 4. There are 20 boys. How many girls are there?
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.2 : 7 = 8 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  33. 33.Divide ₹224 between Pooja and Tara in the ratio 1 : 6. How much does Pooja get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  36. 36.7 : 14 = 21 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  39. 39.Divide ₹200 between Rahul and Kavya in the ratio 1 : 4. How much does Rahul get (in ₹)?
  40. 40.11 : 5 = 88 : ?

Answer key

  1. 72
  2. 8
  3. 20
  4. 50
  5. 24
  6. 15
  7. 28
  8. 27
  9. 14
  10. 36
  11. 10
  12. 36
  13. 78
  14. 43
  15. 36
  16. 42
  17. 65
  18. 280
  19. 20
  20. 30
  21. 11
  22. 24
  23. 8
  24. 70
  25. 99
  26. 6
  27. 90
  28. 80
  29. 16
  30. 48
  31. 28
  32. 2
  33. 32
  34. 12
  35. 50
  36. 42
  37. 42
  38. 18
  39. 40
  40. 40

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