← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 291 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.10 : 6 = 40 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.Divide ₹352 between Karan and Priya in the ratio 3 : 5. How much does Karan get (in ₹)?
  6. 6.7 : 8 = 21 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  8. 8.Divide ₹182 between Sneha and Vivaan in the ratio 9 : 4. How much does Sneha get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  10. 10.Divide ₹154 between Rohan and Nisha in the ratio 5 : 9. How much does Rohan get (in ₹)?
  11. 11.Divide ₹294 between Dev and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  14. 14.Divide ₹90 between Rohan and Aditya in the ratio 4 : 1. How much does Rohan get (in ₹)?
  15. 15.Divide ₹187 between Manav and Dev in the ratio 8 : 3. How much does Manav get (in ₹)?
  16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  17. 17.5 : 6 = 15 : ?
  18. 18.6 : 11 = 18 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  20. 20.6 : 7 = 18 : ?
  21. 21.10 : 7 = 80 : ?
  22. 22.11 : 5 = 22 : ?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.9 : 11 = 54 : ?
  25. 25.7 : 14 = 63 : ?
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.Divide ₹525 between Ananya and Meera in the ratio 8 : 7. How much does Ananya get (in ₹)?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Divide ₹352 between Nisha and Pooja in the ratio 7 : 4. How much does Pooja get (in ₹)?
  31. 31.2 : 14 = 16 : ?
  32. 32.Divide ₹105 between Tara and Kavya in the ratio 2 : 3. How much does Tara get (in ₹)?
  33. 33.9 : 4 = 72 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  35. 35.Divide ₹308 between Zoya and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  36. 36.Divide ₹18 between Rohan and Kavya in the ratio 2 : 1. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?

Answer key

  1. 28
  2. 24
  3. 27
  4. 16
  5. 132
  6. 24
  7. 10
  8. 126
  9. 12
  10. 55
  11. 49
  12. 36
  13. 9
  14. 72
  15. 136
  16. 144
  17. 18
  18. 33
  19. 14
  20. 21
  21. 56
  22. 10
  23. 75
  24. 66
  25. 126
  26. 128
  27. 280
  28. 100
  29. 225
  30. 128
  31. 112
  32. 42
  33. 32
  34. 14
  35. 220
  36. 12
  37. 81
  38. 8
  39. 10
  40. 27

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude