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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 734 · 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. 1.8 : 7 = 16 : ?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  4. 4.7 : 2 = 35 : ?
  5. 5.3 : 9 = 12 : ?
  6. 6.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  7. 7.5 : 12 = 25 : ?
  8. 8.9 : 7 = 72 : ?
  9. 9.Divide ₹126 between Kabir and Rahul in the ratio 5 : 2. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  11. 11.Divide ₹112 between Rohan and Meera in the ratio 5 : 2. How much does Rohan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  13. 13.Divide ₹210 between Karan and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  14. 14.4 : 3 = 8 : ?
  15. 15.10 : 14 = 70 : ?
  16. 16.Divide ₹600 between Kabir and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  17. 17.8 : 11 = 48 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.5 : 9 = 30 : ?
  21. 21.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  22. 22.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  23. 23.10 : 8 = 60 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  25. 25.Divide ₹125 between Kabir and Ishaan in the ratio 1 : 4. How much does Kabir get (in ₹)?
  26. 26.Divide ₹168 between Ishaan and Tara in the ratio 5 : 2. How much does Tara get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.Divide ₹176 between Rohan and Vivaan in the ratio 1 : 7. How much does Rohan get (in ₹)?
  30. 30.Divide ₹287 between Isha and Ishaan in the ratio 5 : 2. How much does Ishaan get (in ₹)?
  31. 31.Divide ₹217 between Diya and Aditya in the ratio 6 : 1. How much does Diya get (in ₹)?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.Divide ₹342 between Karan and Isha in the ratio 8 : 1. How much does Karan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  35. 35.Divide ₹33 between Arjun and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  37. 37.Divide ₹196 between Sneha and Ananya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  38. 38.Divide ₹75 between Kabir and Arjun in the ratio 2 : 3. How much does Kabir get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  40. 40.12 : 4 = 72 : ?

Answer key

  1. 14
  2. 12
  3. 8
  4. 10
  5. 36
  6. 36
  7. 60
  8. 56
  9. 90
  10. 8
  11. 80
  12. 21
  13. 175
  14. 6
  15. 98
  16. 280
  17. 66
  18. 35
  19. 27
  20. 54
  21. 90
  22. 64
  23. 48
  24. 54
  25. 25
  26. 48
  27. 7
  28. 100
  29. 22
  30. 82
  31. 186
  32. 18
  33. 304
  34. 15
  35. 22
  36. 42
  37. 56
  38. 30
  39. 81
  40. 24

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