← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 81 · 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 : 8 = 6 : ?
  2. 2.Divide ₹780 between Arjun and Farhan in the ratio 7 : 8. How much does Arjun get (in ₹)?
  3. 3.5 : 12 = 25 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  9. 9.Divide ₹812 between Arjun and Dev in the ratio 9 : 5. How much does Dev get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  11. 11.Divide ₹912 between Zoya and Priya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  12. 12.3 : 2 = 18 : ?
  13. 13.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  15. 15.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  16. 16.Divide ₹396 between Sneha and Nisha in the ratio 8 : 3. How much does Nisha get (in ₹)?
  17. 17.Divide ₹689 between Dev and Sneha in the ratio 4 : 9. How much does Sneha get (in ₹)?
  18. 18.Divide ₹200 between Aditya and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?
  19. 19.Divide ₹754 between Vivaan and Aditya in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  22. 22.Divide ₹220 between Farhan and Aarav in the ratio 4 : 7. How much does Farhan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  24. 24.Divide ₹333 between Sneha and Rahul in the ratio 4 : 5. How much does Sneha get (in ₹)?
  25. 25.Divide ₹480 between Ishaan and Sneha in the ratio 8 : 7. How much does Sneha get (in ₹)?
  26. 26.Divide ₹559 between Ishaan and Aarav in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  27. 27.3 : 5 = 21 : ?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.Divide ₹380 between Aditya and Saanvi in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  30. 30.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  32. 32.Divide ₹30 between Isha and Manav in the ratio 1 : 5. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  35. 35.11 : 15 = 33 : ?
  36. 36.10 : 7 = 70 : ?
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.4 : 7 = 28 : ?
  39. 39.Divide ₹451 between Zoya and Ananya in the ratio 5 : 6. How much does Ananya get (in ₹)?
  40. 40.Divide ₹384 between Arjun and Diya in the ratio 7 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 16
  2. 364
  3. 60
  4. 42
  5. 8
  6. 42
  7. 96
  8. 112
  9. 290
  10. 15
  11. 513
  12. 12
  13. 60
  14. 4
  15. 24
  16. 108
  17. 477
  18. 80
  19. 232
  20. 8
  21. 20
  22. 80
  23. 2
  24. 148
  25. 224
  26. 172
  27. 35
  28. 18
  29. 114
  30. 80
  31. 42
  32. 5
  33. 14
  34. 50
  35. 45
  36. 49
  37. 27
  38. 49
  39. 246
  40. 336

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