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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 302 · 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 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  3. 3.4 : 2 = 20 : ?
  4. 4.3 : 5 = 9 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  6. 6.Divide ₹416 between Ananya and Rahul in the ratio 7 : 1. How much does Ananya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  12. 12.Divide ₹385 between Zoya and Manav in the ratio 2 : 9. How much does Zoya get (in ₹)?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.9 : 5 = 18 : ?
  15. 15.Divide ₹210 between Kavya and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  17. 17.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  18. 18.Divide ₹384 between Diya and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  19. 19.Divide ₹160 between Ananya and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
  20. 20.Divide ₹308 between Aditya and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  23. 23.2 : 10 = 10 : ?
  24. 24.Divide ₹315 between Ananya and Farhan in the ratio 1 : 6. How much does Ananya get (in ₹)?
  25. 25.Divide ₹182 between Rohan and Manav in the ratio 4 : 9. How much does Rohan get (in ₹)?
  26. 26.Divide ₹105 between Priya and Zoya in the ratio 3 : 4. How much does Priya get (in ₹)?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  30. 30.3 : 9 = 21 : ?
  31. 31.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  33. 33.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  35. 35.Divide ₹175 between Diya and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
  36. 36.6 : 10 = 18 : ?
  37. 37.Divide ₹504 between Vivaan and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  39. 39.Divide ₹522 between Isha and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  40. 40.4 : 14 = 16 : ?

Answer key

  1. 144
  2. 3
  3. 10
  4. 15
  5. 4
  6. 364
  7. 10
  8. 24
  9. 128
  10. 40
  11. 18
  12. 70
  13. 50
  14. 10
  15. 75
  16. 12
  17. 80
  18. 48
  19. 70
  20. 88
  21. 96
  22. 36
  23. 50
  24. 45
  25. 56
  26. 45
  27. 112
  28. 100
  29. 21
  30. 63
  31. 20
  32. 45
  33. 14
  34. 6
  35. 125
  36. 30
  37. 294
  38. 35
  39. 116
  40. 56

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