← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 823 · 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. 1.11 : 12 = 44 : ?
  2. 2.Divide ₹215 between Ananya and Rahul in the ratio 4 : 1. How much does Rahul get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  4. 4.2 : 3 = 18 : ?
  5. 5.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  6. 6.Divide ₹77 between Sneha and Aarav in the ratio 9 : 2. How much does Sneha get (in ₹)?
  7. 7.Divide ₹720 between Manav and Aarav in the ratio 9 : 7. How much does Aarav get (in ₹)?
  8. 8.Divide ₹351 between Arjun and Aarav in the ratio 7 : 6. How much does Arjun get (in ₹)?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Divide ₹540 between Ananya and Meera in the ratio 7 : 2. How much does Ananya get (in ₹)?
  11. 11.Divide ₹507 between Zoya and Ishaan in the ratio 8 : 5. How much does Zoya get (in ₹)?
  12. 12.Divide ₹42 between Pooja and Farhan in the ratio 1 : 2. How much does Pooja get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  15. 15.9 : 2 = 27 : ?
  16. 16.4 : 14 = 20 : ?
  17. 17.Divide ₹198 between Tara and Pooja in the ratio 8 : 1. How much does Pooja get (in ₹)?
  18. 18.4 : 14 = 24 : ?
  19. 19.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  20. 20.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  21. 21.3 : 12 = 24 : ?
  22. 22.9 : 5 = 18 : ?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  27. 27.6 : 11 = 54 : ?
  28. 28.10 : 11 = 20 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 6 : 7. There are 48 boys. How many girls are there?
  31. 31.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  35. 35.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  36. 36.Divide ₹504 between Nisha and Priya in the ratio 9 : 5. How much does Nisha get (in ₹)?
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.3 : 8 = 27 : ?
  39. 39.Divide ₹135 between Saanvi and Aarav in the ratio 8 : 1. How much does Aarav get (in ₹)?
  40. 40.Divide ₹480 between Ishaan and Saanvi in the ratio 1 : 7. How much does Ishaan get (in ₹)?

Answer key

  1. 48
  2. 43
  3. 56
  4. 27
  5. 10
  6. 63
  7. 315
  8. 189
  9. 32
  10. 420
  11. 312
  12. 14
  13. 2
  14. 40
  15. 6
  16. 70
  17. 22
  18. 84
  19. 16
  20. 28
  21. 96
  22. 10
  23. 12
  24. 24
  25. 21
  26. 54
  27. 99
  28. 22
  29. 21
  30. 56
  31. 72
  32. 24
  33. 16
  34. 27
  35. 42
  36. 324
  37. 200
  38. 72
  39. 15
  40. 60

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