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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 206 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.Divide ₹260 between Ishaan and Farhan in the ratio 3 : 7. How much does Ishaan get (in ₹)?
  6. 6.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  11. 11.12 : 13 = 72 : ?
  12. 12.5 : 8 = 20 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  14. 14.Divide ₹144 between Saanvi and Manav in the ratio 7 : 9. How much does Manav get (in ₹)?
  15. 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  16. 16.3 : 5 = 21 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.Divide ₹360 between Diya and Priya in the ratio 3 : 7. How much does Priya get (in ₹)?
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.6 : 4 = 42 : ?
  25. 25.12 : 8 = 36 : ?
  26. 26.12 : 8 = 48 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  28. 28.Divide ₹215 between Arjun and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  30. 30.3 : 5 = 27 : ?
  31. 31.Divide ₹413 between Dev and Meera in the ratio 5 : 2. How much does Dev get (in ₹)?
  32. 32.Divide ₹65 between Rahul and Arjun in the ratio 2 : 3. How much does Arjun get (in ₹)?
  33. 33.3 : 4 = 9 : ?
  34. 34.Divide ₹825 between Ishaan and Ananya in the ratio 8 : 7. How much does Ishaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  36. 36.Divide ₹63 between Isha and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.10 : 5 = 80 : ?
  39. 39.4 : 10 = 28 : ?
  40. 40.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?

Answer key

  1. 12
  2. 32
  3. 8
  4. 72
  5. 78
  6. 81
  7. 35
  8. 32
  9. 32
  10. 15
  11. 78
  12. 32
  13. 50
  14. 81
  15. 125
  16. 35
  17. 42
  18. 25
  19. 32
  20. 18
  21. 63
  22. 252
  23. 144
  24. 28
  25. 24
  26. 32
  27. 30
  28. 172
  29. 3
  30. 45
  31. 295
  32. 39
  33. 12
  34. 440
  35. 64
  36. 7
  37. 24
  38. 40
  39. 70
  40. 9

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