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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 203 · 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 18 (that is, 9 : 18 = 18 : ?).
  2. 2.11 : 6 = 33 : ?
  3. 3.7 : 13 = 49 : ?
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  5. 5.4 : 5 = 32 : ?
  6. 6.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  7. 7.Divide ₹420 between Diya and Ishaan in the ratio 7 : 3. How much does Diya get (in ₹)?
  8. 8.Divide ₹45 between Priya and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.12 : 2 = 84 : ?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹108 between Ananya and Diya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  14. 14.2 : 15 = 10 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  16. 16.Divide ₹224 between Diya and Dev in the ratio 3 : 1. How much does Diya get (in ₹)?
  17. 17.Divide ₹189 between Isha and Rohan in the ratio 4 : 3. How much does Rohan get (in ₹)?
  18. 18.10 : 4 = 90 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.Divide ₹650 between Nisha and Tara in the ratio 9 : 4. How much does Nisha get (in ₹)?
  22. 22.Divide ₹330 between Zoya and Sneha in the ratio 5 : 6. How much does Zoya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  24. 24.Divide ₹308 between Tara and Rahul in the ratio 3 : 8. How much does Tara get (in ₹)?
  25. 25.Divide ₹108 between Kavya and Ananya in the ratio 1 : 8. How much does Kavya get (in ₹)?
  26. 26.Divide ₹114 between Ishaan and Dev in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  28. 28.11 : 13 = 33 : ?
  29. 29.2 : 13 = 4 : ?
  30. 30.Divide ₹252 between Nisha and Aarav in the ratio 7 : 2. How much does Nisha get (in ₹)?
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  35. 35.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  36. 36.Divide ₹208 between Vivaan and Nisha in the ratio 9 : 4. How much does Nisha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  38. 38.5 : 7 = 30 : ?
  39. 39.7 : 9 = 28 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?

Answer key

  1. 36
  2. 18
  3. 91
  4. 6
  5. 40
  6. 3
  7. 294
  8. 10
  9. 40
  10. 36
  11. 14
  12. 150
  13. 84
  14. 75
  15. 21
  16. 168
  17. 81
  18. 36
  19. 7
  20. 16
  21. 450
  22. 150
  23. 42
  24. 84
  25. 12
  26. 95
  27. 35
  28. 39
  29. 26
  30. 196
  31. 32
  32. 28
  33. 48
  34. 9
  35. 128
  36. 64
  37. 8
  38. 42
  39. 36
  40. 32

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