← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 58 · 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. 1.8 : 2 = 56 : ?
  2. 2.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.11 : 3 = 55 : ?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.8 : 15 = 48 : ?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.2 : 10 = 12 : ?
  13. 13.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  14. 14.Divide ₹69 between Kavya and Arjun in the ratio 2 : 1. How much does Kavya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  16. 16.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  17. 17.Divide ₹416 between Ananya and Diya in the ratio 7 : 1. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  19. 19.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Divide ₹195 between Dev and Karan in the ratio 6 : 7. How much does Karan get (in ₹)?
  22. 22.5 : 6 = 15 : ?
  23. 23.Divide ₹432 between Pooja and Kavya in the ratio 7 : 5. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.8 : 3 = 32 : ?
  28. 28.6 : 14 = 54 : ?
  29. 29.4 : 13 = 8 : ?
  30. 30.Divide ₹645 between Pooja and Aditya in the ratio 8 : 7. How much does Pooja get (in ₹)?
  31. 31.8 : 5 = 48 : ?
  32. 32.Divide ₹176 between Karan and Farhan in the ratio 3 : 8. How much does Farhan get (in ₹)?
  33. 33.Divide ₹700 between Rohan and Ananya in the ratio 5 : 9. How much does Rohan get (in ₹)?
  34. 34.Divide ₹408 between Tara and Kavya in the ratio 5 : 3. How much does Tara get (in ₹)?
  35. 35.Divide ₹143 between Kavya and Aarav in the ratio 9 : 2. How much does Kavya get (in ₹)?
  36. 36.Divide ₹403 between Aarav and Dev in the ratio 4 : 9. How much does Aarav get (in ₹)?
  37. 37.3 : 10 = 9 : ?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  40. 40.Divide ₹312 between Dev and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?

Answer key

  1. 14
  2. 63
  3. 9
  4. 28
  5. 128
  6. 15
  7. 200
  8. 6
  9. 12
  10. 90
  11. 32
  12. 60
  13. 112
  14. 46
  15. 20
  16. 27
  17. 364
  18. 36
  19. 45
  20. 48
  21. 105
  22. 18
  23. 180
  24. 60
  25. 72
  26. 8
  27. 12
  28. 126
  29. 26
  30. 344
  31. 30
  32. 128
  33. 250
  34. 255
  35. 117
  36. 124
  37. 30
  38. 75
  39. 24
  40. 117

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