← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 939 · 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. 1.3 : 13 = 9 : ?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Divide ₹605 between Dev and Farhan in the ratio 4 : 7. How much does Farhan get (in ₹)?
  4. 4.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.Divide ₹360 between Isha and Kabir in the ratio 1 : 9. How much does Isha get (in ₹)?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.Divide ₹252 between Farhan and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  13. 13.4 : 10 = 20 : ?
  14. 14.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  15. 15.Divide ₹129 between Farhan and Diya in the ratio 1 : 2. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  22. 22.12 : 3 = 72 : ?
  23. 23.4 : 14 = 12 : ?
  24. 24.Divide ₹52 between Aarav and Priya in the ratio 1 : 3. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.8 : 7 = 16 : ?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  29. 29.Divide ₹25 between Rohan and Aarav in the ratio 1 : 4. How much does Rohan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  33. 33.Divide ₹168 between Diya and Rahul in the ratio 1 : 5. How much does Rahul get (in ₹)?
  34. 34.3 : 10 = 9 : ?
  35. 35.Divide ₹228 between Aarav and Vivaan in the ratio 1 : 3. How much does Aarav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  37. 37.5 : 4 = 25 : ?
  38. 38.Divide ₹90 between Sneha and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 39
  2. 12
  3. 385
  4. 45
  5. 225
  6. 20
  7. 36
  8. 16
  9. 196
  10. 64
  11. 24
  12. 25
  13. 50
  14. 6
  15. 43
  16. 72
  17. 49
  18. 28
  19. 24
  20. 15
  21. 6
  22. 18
  23. 42
  24. 13
  25. 128
  26. 14
  27. 63
  28. 42
  29. 5
  30. 9
  31. 24
  32. 16
  33. 140
  34. 30
  35. 57
  36. 28
  37. 20
  38. 10
  39. 36
  40. 8

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