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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 53 · 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. 1.12 : 14 = 108 : ?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.Divide ₹352 between Arjun and Priya in the ratio 3 : 8. How much does Arjun get (in ₹)?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  6. 6.Divide ₹585 between Kavya and Diya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  7. 7.4 : 14 = 12 : ?
  8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  9. 9.4 : 5 = 8 : ?
  10. 10.2 : 11 = 8 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  13. 13.Divide ₹80 between Ananya and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  14. 14.2 : 9 = 6 : ?
  15. 15.11 : 5 = 33 : ?
  16. 16.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  18. 18.11 : 2 = 55 : ?
  19. 19.Divide ₹168 between Tara and Saanvi in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  20. 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  22. 22.Divide ₹513 between Aditya and Meera in the ratio 7 : 2. How much does Aditya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  24. 24.Divide ₹182 between Meera and Manav in the ratio 6 : 1. How much does Manav get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  26. 26.3 : 4 = 12 : ?
  27. 27.7 : 10 = 49 : ?
  28. 28.7 : 4 = 14 : ?
  29. 29.2 : 13 = 8 : ?
  30. 30.2 : 11 = 12 : ?
  31. 31.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  32. 32.Divide ₹48 between Kabir and Rahul in the ratio 5 : 3. How much does Kabir get (in ₹)?
  33. 33.9 : 12 = 36 : ?
  34. 34.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  37. 37.9 : 3 = 27 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  39. 39.Divide ₹252 between Kabir and Dev in the ratio 5 : 1. How much does Dev get (in ₹)?
  40. 40.Divide ₹276 between Karan and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?

Answer key

  1. 126
  2. 48
  3. 96
  4. 16
  5. 8
  6. 270
  7. 42
  8. 63
  9. 10
  10. 44
  11. 20
  12. 24
  13. 8
  14. 27
  15. 15
  16. 24
  17. 20
  18. 10
  19. 98
  20. 27
  21. 72
  22. 399
  23. 10
  24. 26
  25. 14
  26. 16
  27. 70
  28. 8
  29. 52
  30. 66
  31. 36
  32. 30
  33. 48
  34. 36
  35. 50
  36. 40
  37. 9
  38. 6
  39. 42
  40. 46

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