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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 843 · 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 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.9 : 2 = 18 : ?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  6. 6.Divide ₹150 between Arjun and Tara in the ratio 7 : 3. How much does Tara get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  8. 8.7 : 15 = 14 : ?
  9. 9.Divide ₹255 between Dev and Isha in the ratio 2 : 3. How much does Dev get (in ₹)?
  10. 10.4 : 7 = 16 : ?
  11. 11.Divide ₹207 between Rohan and Isha in the ratio 2 : 7. How much does Rohan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  13. 13.4 : 7 = 28 : ?
  14. 14.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  15. 15.3 : 2 = 21 : ?
  16. 16.Divide ₹341 between Saanvi and Meera in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  17. 17.Divide ₹340 between Isha and Rahul in the ratio 7 : 3. How much does Rahul get (in ₹)?
  18. 18.Divide ₹324 between Dev and Manav in the ratio 5 : 1. How much does Manav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  20. 20.8 : 12 = 64 : ?
  21. 21.3 : 15 = 9 : ?
  22. 22.Divide ₹95 between Kavya and Kabir in the ratio 3 : 2. How much does Kavya get (in ₹)?
  23. 23.3 : 13 = 24 : ?
  24. 24.Divide ₹81 between Manav and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
  25. 25.Divide ₹228 between Manav and Priya in the ratio 5 : 7. How much does Priya get (in ₹)?
  26. 26.10 : 3 = 60 : ?
  27. 27.2 : 14 = 6 : ?
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  29. 29.4 : 15 = 28 : ?
  30. 30.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
  31. 31.Divide ₹340 between Aditya and Karan in the ratio 7 : 3. How much does Aditya get (in ₹)?
  32. 32.Divide ₹660 between Zoya and Sneha in the ratio 7 : 5. How much does Sneha get (in ₹)?
  33. 33.11 : 3 = 99 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  37. 37.12 : 6 = 24 : ?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.Divide ₹144 between Pooja and Diya in the ratio 4 : 5. How much does Pooja get (in ₹)?

Answer key

  1. 32
  2. 4
  3. 144
  4. 27
  5. 40
  6. 45
  7. 25
  8. 30
  9. 102
  10. 28
  11. 46
  12. 49
  13. 49
  14. 28
  15. 14
  16. 124
  17. 102
  18. 54
  19. 6
  20. 96
  21. 45
  22. 57
  23. 104
  24. 27
  25. 133
  26. 18
  27. 42
  28. 9
  29. 105
  30. 6
  31. 238
  32. 275
  33. 27
  34. 20
  35. 5
  36. 72
  37. 12
  38. 75
  39. 48
  40. 64

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