← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 379 · 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 4 and 8 (that is, 4 : 8 = 8 : ?).
  2. 2.Divide ₹492 between Vivaan and Nisha in the ratio 7 : 5. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  5. 5.11 : 2 = 22 : ?
  6. 6.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  7. 7.4 : 13 = 8 : ?
  8. 8.7 : 3 = 56 : ?
  9. 9.8 : 5 = 56 : ?
  10. 10.6 : 14 = 12 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  13. 13.9 : 11 = 36 : ?
  14. 14.7 : 5 = 42 : ?
  15. 15.Divide ₹133 between Aditya and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
  16. 16.2 : 5 = 12 : ?
  17. 17.Divide ₹265 between Farhan and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  18. 18.3 : 7 = 15 : ?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.12 : 2 = 96 : ?
  21. 21.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  24. 24.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  25. 25.Divide ₹105 between Saanvi and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  26. 26.8 : 11 = 64 : ?
  27. 27.2 : 11 = 6 : ?
  28. 28.11 : 5 = 55 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.9 : 12 = 18 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  34. 34.10 : 12 = 80 : ?
  35. 35.5 : 3 = 45 : ?
  36. 36.Divide ₹140 between Zoya and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.Divide ₹208 between Rahul and Aditya in the ratio 7 : 1. How much does Rahul get (in ₹)?
  40. 40.9 : 8 = 18 : ?

Answer key

  1. 16
  2. 287
  3. 20
  4. 8
  5. 4
  6. 12
  7. 26
  8. 24
  9. 35
  10. 28
  11. 4
  12. 27
  13. 44
  14. 30
  15. 57
  16. 30
  17. 212
  18. 35
  19. 27
  20. 16
  21. 21
  22. 128
  23. 48
  24. 24
  25. 35
  26. 88
  27. 33
  28. 25
  29. 2
  30. 150
  31. 64
  32. 24
  33. 15
  34. 96
  35. 27
  36. 28
  37. 18
  38. 8
  39. 182
  40. 16

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