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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 358 · 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. 1.7 : 13 = 63 : ?
  2. 2.Divide ₹680 between Arjun and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  3. 3.Divide ₹21 between Kabir and Aditya in the ratio 1 : 2. How much does Kabir get (in ₹)?
  4. 4.11 : 9 = 66 : ?
  5. 5.12 : 13 = 24 : ?
  6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  9. 9.Divide ₹450 between Zoya and Ishaan in the ratio 2 : 7. How much does Zoya get (in ₹)?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  12. 12.5 : 4 = 10 : ?
  13. 13.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  14. 14.5 : 8 = 15 : ?
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  16. 16.6 : 7 = 42 : ?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.Divide ₹63 between Rahul and Ishaan in the ratio 7 : 2. How much does Ishaan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  22. 22.2 : 13 = 8 : ?
  23. 23.Divide ₹192 between Meera and Vivaan in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  26. 26.Divide ₹236 between Nisha and Tara in the ratio 3 : 1. How much does Tara get (in ₹)?
  27. 27.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  30. 30.Divide ₹224 between Sneha and Dev in the ratio 3 : 1. How much does Sneha get (in ₹)?
  31. 31.9 : 7 = 18 : ?
  32. 32.Divide ₹195 between Nisha and Rohan in the ratio 6 : 7. How much does Nisha get (in ₹)?
  33. 33.7 : 10 = 56 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  37. 37.Divide ₹252 between Dev and Sneha in the ratio 5 : 1. How much does Sneha get (in ₹)?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.12 : 8 = 96 : ?
  40. 40.Divide ₹455 between Kabir and Diya in the ratio 4 : 9. How much does Kabir get (in ₹)?

Answer key

  1. 117
  2. 360
  3. 7
  4. 54
  5. 26
  6. 125
  7. 18
  8. 21
  9. 100
  10. 45
  11. 50
  12. 8
  13. 16
  14. 24
  15. 56
  16. 49
  17. 175
  18. 24
  19. 14
  20. 3
  21. 30
  22. 52
  23. 112
  24. 12
  25. 90
  26. 59
  27. 36
  28. 50
  29. 2
  30. 168
  31. 14
  32. 90
  33. 80
  34. 45
  35. 8
  36. 64
  37. 42
  38. 112
  39. 64
  40. 140

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