← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 544 · 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 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Divide ₹418 between Farhan and Rohan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  3. 3.Divide ₹300 between Dev and Kabir in the ratio 3 : 2. How much does Dev get (in ₹)?
  4. 4.Divide ₹585 between Karan and Dev in the ratio 5 : 8. How much does Karan get (in ₹)?
  5. 5.Divide ₹216 between Sneha and Rohan in the ratio 5 : 1. How much does Sneha get (in ₹)?
  6. 6.Divide ₹54 between Zoya and Ishaan in the ratio 7 : 2. How much does Zoya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  11. 11.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  12. 12.Divide ₹592 between Farhan and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
  13. 13.5 : 13 = 10 : ?
  14. 14.4 : 12 = 24 : ?
  15. 15.3 : 12 = 24 : ?
  16. 16.Divide ₹200 between Kabir and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  19. 19.Divide ₹165 between Sneha and Meera in the ratio 2 : 1. How much does Meera get (in ₹)?
  20. 20.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  21. 21.Divide ₹385 between Priya and Rohan in the ratio 1 : 6. How much does Priya get (in ₹)?
  22. 22.Divide ₹144 between Zoya and Kabir in the ratio 1 : 5. How much does Kabir get (in ₹)?
  23. 23.Divide ₹287 between Kavya and Zoya in the ratio 1 : 6. How much does Kavya get (in ₹)?
  24. 24.7 : 3 = 63 : ?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Divide ₹176 between Pooja and Ananya in the ratio 3 : 1. How much does Pooja get (in ₹)?
  27. 27.Divide ₹120 between Tara and Ishaan in the ratio 9 : 1. How much does Ishaan get (in ₹)?
  28. 28.Divide ₹108 between Diya and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  29. 29.5 : 9 = 35 : ?
  30. 30.Divide ₹96 between Diya and Aarav in the ratio 5 : 3. How much does Diya get (in ₹)?
  31. 31.Divide ₹152 between Karan and Rahul in the ratio 3 : 5. How much does Karan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
  35. 35.3 : 15 = 24 : ?
  36. 36.Divide ₹105 between Vivaan and Kavya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  37. 37.2 : 11 = 10 : ?
  38. 38.3 : 7 = 18 : ?
  39. 39.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  40. 40.4 : 5 = 24 : ?

Answer key

  1. 12
  2. 190
  3. 180
  4. 225
  5. 180
  6. 42
  7. 24
  8. 36
  9. 8
  10. 45
  11. 112
  12. 333
  13. 26
  14. 72
  15. 96
  16. 40
  17. 21
  18. 8
  19. 55
  20. 125
  21. 55
  22. 120
  23. 41
  24. 27
  25. 75
  26. 132
  27. 12
  28. 90
  29. 63
  30. 60
  31. 57
  32. 80
  33. 28
  34. 64
  35. 120
  36. 70
  37. 55
  38. 42
  39. 18
  40. 30

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