← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 89 · 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.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.6 : 12 = 48 : ?
  4. 4.9 : 10 = 63 : ?
  5. 5.Divide ₹464 between Ishaan and Ananya in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  9. 9.Divide ₹235 between Rohan and Kabir in the ratio 3 : 2. How much does Kabir get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.3 : 4 = 9 : ?
  15. 15.3 : 7 = 12 : ?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.7 : 2 = 14 : ?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.6 : 3 = 12 : ?
  25. 25.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  26. 26.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  27. 27.Divide ₹172 between Pooja and Tara in the ratio 3 : 1. How much does Pooja get (in ₹)?
  28. 28.2 : 5 = 8 : ?
  29. 29.Divide ₹512 between Priya and Dev in the ratio 7 : 9. How much does Priya get (in ₹)?
  30. 30.11 : 9 = 44 : ?
  31. 31.6 : 8 = 30 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 2. There are 25 boys. How many girls are there?
  33. 33.5 : 7 = 10 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  35. 35.12 : 13 = 72 : ?
  36. 36.Divide ₹176 between Nisha and Sneha in the ratio 1 : 3. How much does Sneha get (in ₹)?
  37. 37.12 : 4 = 84 : ?
  38. 38.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  39. 39.Divide ₹464 between Meera and Ananya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  40. 40.Divide ₹189 between Vivaan and Priya in the ratio 5 : 2. How much does Vivaan get (in ₹)?

Answer key

  1. 45
  2. 45
  3. 96
  4. 70
  5. 406
  6. 7
  7. 35
  8. 16
  9. 94
  10. 16
  11. 24
  12. 72
  13. 150
  14. 12
  15. 28
  16. 8
  17. 24
  18. 16
  19. 100
  20. 27
  21. 32
  22. 4
  23. 50
  24. 6
  25. 175
  26. 225
  27. 129
  28. 20
  29. 224
  30. 36
  31. 40
  32. 10
  33. 14
  34. 4
  35. 78
  36. 132
  37. 28
  38. 64
  39. 203
  40. 135

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