← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 312 · 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.Divide ₹77 between Rohan and Aditya in the ratio 2 : 9. How much does Aditya get (in ₹)?
  2. 2.10 : 11 = 60 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.12 : 6 = 108 : ?
  7. 7.6 : 15 = 12 : ?
  8. 8.7 : 13 = 49 : ?
  9. 9.5 : 15 = 40 : ?
  10. 10.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  13. 13.2 : 12 = 10 : ?
  14. 14.Divide ₹182 between Nisha and Sneha in the ratio 6 : 1. How much does Nisha get (in ₹)?
  15. 15.Divide ₹70 between Rohan and Zoya in the ratio 3 : 7. How much does Rohan get (in ₹)?
  16. 16.11 : 4 = 88 : ?
  17. 17.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  18. 18.5 : 12 = 30 : ?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  22. 22.Divide ₹128 between Rohan and Diya in the ratio 3 : 5. How much does Rohan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  24. 24.12 : 11 = 48 : ?
  25. 25.Divide ₹525 between Nisha and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  27. 27.Divide ₹336 between Pooja and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  29. 29.7 : 8 = 21 : ?
  30. 30.Divide ₹161 between Dev and Aditya in the ratio 6 : 1. How much does Dev get (in ₹)?
  31. 31.11 : 13 = 77 : ?
  32. 32.Divide ₹432 between Meera and Manav in the ratio 4 : 5. How much does Manav get (in ₹)?
  33. 33.Divide ₹117 between Rahul and Pooja in the ratio 8 : 5. How much does Pooja get (in ₹)?
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.12 : 14 = 96 : ?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  39. 39.Divide ₹432 between Diya and Rahul in the ratio 3 : 5. How much does Diya get (in ₹)?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 63
  2. 66
  3. 20
  4. 36
  5. 150
  6. 54
  7. 30
  8. 91
  9. 120
  10. 54
  11. 96
  12. 10
  13. 60
  14. 156
  15. 21
  16. 32
  17. 24
  18. 72
  19. 16
  20. 9
  21. 81
  22. 48
  23. 24
  24. 44
  25. 245
  26. 56
  27. 120
  28. 10
  29. 24
  30. 138
  31. 91
  32. 240
  33. 45
  34. 32
  35. 112
  36. 8
  37. 21
  38. 6
  39. 162
  40. 18

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