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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 478 · 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.Divide ₹286 between Ananya and Tara in the ratio 4 : 7. How much does Ananya get (in ₹)?
  2. 2.12 : 11 = 24 : ?
  3. 3.Divide ₹231 between Tara and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  4. 4.7 : 6 = 56 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  6. 6.9 : 4 = 63 : ?
  7. 7.Divide ₹165 between Aarav and Nisha in the ratio 7 : 8. How much does Aarav get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  9. 9.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  12. 12.11 : 7 = 22 : ?
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  15. 15.Divide ₹517 between Kavya and Aarav in the ratio 6 : 5. How much does Kavya get (in ₹)?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.Divide ₹546 between Isha and Diya in the ratio 4 : 9. How much does Isha get (in ₹)?
  18. 18.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  19. 19.Divide ₹195 between Isha and Rahul in the ratio 4 : 9. How much does Isha get (in ₹)?
  20. 20.Divide ₹342 between Aarav and Karan in the ratio 8 : 1. How much does Aarav get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  23. 23.Divide ₹159 between Isha and Manav in the ratio 1 : 2. How much does Manav get (in ₹)?
  24. 24.Divide ₹96 between Dev and Priya in the ratio 7 : 1. How much does Priya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  27. 27.11 : 3 = 55 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  31. 31.Divide ₹376 between Ananya and Tara in the ratio 3 : 5. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.12 : 2 = 48 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.Divide ₹87 between Sneha and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?

Answer key

  1. 104
  2. 22
  3. 66
  4. 48
  5. 2
  6. 28
  7. 77
  8. 15
  9. 80
  10. 12
  11. 6
  12. 14
  13. 150
  14. 6
  15. 282
  16. 28
  17. 168
  18. 48
  19. 60
  20. 304
  21. 40
  22. 18
  23. 106
  24. 12
  25. 8
  26. 9
  27. 15
  28. 7
  29. 40
  30. 15
  31. 141
  32. 16
  33. 3
  34. 30
  35. 75
  36. 8
  37. 20
  38. 8
  39. 200
  40. 58

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