← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 347 · 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 9 (that is, 3 : 9 = 9 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  3. 3.Divide ₹144 between Dev and Isha in the ratio 3 : 1. How much does Dev get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  5. 5.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  6. 6.Divide ₹176 between Vivaan and Karan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  8. 8.Divide ₹297 between Zoya and Farhan in the ratio 8 : 3. How much does Zoya get (in ₹)?
  9. 9.9 : 4 = 72 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  11. 11.Divide ₹99 between Saanvi and Rohan in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  12. 12.11 : 10 = 88 : ?
  13. 13.10 : 15 = 30 : ?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  17. 17.3 : 4 = 18 : ?
  18. 18.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  20. 20.4 : 14 = 36 : ?
  21. 21.Divide ₹99 between Dev and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.8 : 14 = 32 : ?
  24. 24.Divide ₹60 between Priya and Nisha in the ratio 1 : 4. How much does Nisha get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Divide ₹156 between Aditya and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  30. 30.7 : 2 = 28 : ?
  31. 31.Divide ₹49 between Vivaan and Ananya in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  32. 32.7 : 14 = 28 : ?
  33. 33.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  34. 34.11 : 3 = 33 : ?
  35. 35.Divide ₹252 between Diya and Pooja in the ratio 3 : 4. How much does Diya get (in ₹)?
  36. 36.4 : 3 = 24 : ?
  37. 37.8 : 7 = 64 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  40. 40.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?

Answer key

  1. 27
  2. 20
  3. 108
  4. 28
  5. 72
  6. 64
  7. 21
  8. 216
  9. 32
  10. 72
  11. 77
  12. 80
  13. 45
  14. 63
  15. 15
  16. 9
  17. 24
  18. 40
  19. 9
  20. 126
  21. 27
  22. 112
  23. 56
  24. 48
  25. 18
  26. 130
  27. 32
  28. 96
  29. 144
  30. 8
  31. 28
  32. 56
  33. 24
  34. 9
  35. 108
  36. 18
  37. 56
  38. 10
  39. 75
  40. 50

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