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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 612 · 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 ₹60 between Farhan and Arjun in the ratio 7 : 5. How much does Arjun get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  3. 3.Divide ₹742 between Saanvi and Isha in the ratio 5 : 9. How much does Isha get (in ₹)?
  4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  5. 5.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.11 : 2 = 55 : ?
  10. 10.Divide ₹18 between Dev and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  11. 11.Divide ₹56 between Dev and Pooja in the ratio 3 : 1. How much does Dev get (in ₹)?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.4 : 5 = 8 : ?
  17. 17.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  18. 18.10 : 4 = 90 : ?
  19. 19.Divide ₹407 between Saanvi and Farhan in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.9 : 3 = 27 : ?
  22. 22.6 : 8 = 18 : ?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  25. 25.Divide ₹520 between Nisha and Dev in the ratio 7 : 6. How much does Nisha get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  30. 30.Divide ₹432 between Isha and Sneha in the ratio 7 : 5. How much does Isha get (in ₹)?
  31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  32. 32.Divide ₹405 between Aditya and Kabir in the ratio 7 : 8. How much does Kabir get (in ₹)?
  33. 33.11 : 14 = 22 : ?
  34. 34.8 : 7 = 64 : ?
  35. 35.8 : 11 = 24 : ?
  36. 36.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  37. 37.11 : 3 = 22 : ?
  38. 38.Divide ₹168 between Aarav and Meera in the ratio 1 : 7. How much does Meera get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?

Answer key

  1. 25
  2. 72
  3. 477
  4. 32
  5. 21
  6. 5
  7. 200
  8. 50
  9. 10
  10. 12
  11. 42
  12. 16
  13. 12
  14. 24
  15. 64
  16. 10
  17. 8
  18. 36
  19. 259
  20. 20
  21. 9
  22. 24
  23. 75
  24. 18
  25. 280
  26. 63
  27. 25
  28. 28
  29. 8
  30. 252
  31. 144
  32. 216
  33. 28
  34. 56
  35. 33
  36. 32
  37. 6
  38. 147
  39. 21
  40. 15

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