← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 444 · 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. 1.12 : 11 = 72 : ?
  2. 2.6 : 11 = 54 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  4. 4.Divide ₹70 between Arjun and Saanvi in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.Divide ₹176 between Tara and Aarav in the ratio 9 : 7. How much does Aarav get (in ₹)?
  7. 7.Divide ₹270 between Farhan and Kavya in the ratio 8 : 1. How much does Farhan get (in ₹)?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.6 : 13 = 48 : ?
  10. 10.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  13. 13.Divide ₹561 between Dev and Rohan in the ratio 3 : 8. How much does Dev get (in ₹)?
  14. 14.Divide ₹175 between Rohan and Aarav in the ratio 5 : 2. How much does Rohan get (in ₹)?
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.Divide ₹128 between Meera and Rahul in the ratio 3 : 1. How much does Meera get (in ₹)?
  17. 17.11 : 13 = 66 : ?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  22. 22.Divide ₹80 between Priya and Dev in the ratio 1 : 7. How much does Priya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.5 : 13 = 35 : ?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  28. 28.5 : 10 = 30 : ?
  29. 29.2 : 9 = 8 : ?
  30. 30.3 : 7 = 15 : ?
  31. 31.6 : 8 = 54 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  33. 33.Divide ₹319 between Karan and Manav in the ratio 7 : 4. How much does Manav get (in ₹)?
  34. 34.Divide ₹544 between Sneha and Dev in the ratio 7 : 9. How much does Sneha get (in ₹)?
  35. 35.Divide ₹240 between Priya and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  36. 36.Divide ₹408 between Vivaan and Meera in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  40. 40.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).

Answer key

  1. 66
  2. 99
  3. 15
  4. 25
  5. 8
  6. 77
  7. 240
  8. 12
  9. 104
  10. 125
  11. 18
  12. 48
  13. 153
  14. 125
  15. 18
  16. 96
  17. 78
  18. 175
  19. 20
  20. 27
  21. 50
  22. 10
  23. 70
  24. 80
  25. 128
  26. 91
  27. 5
  28. 60
  29. 36
  30. 35
  31. 72
  32. 10
  33. 116
  34. 238
  35. 180
  36. 216
  37. 9
  38. 12
  39. 225
  40. 36

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