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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 34 · 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 ₹195 between Aditya and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
  2. 2.12 : 6 = 108 : ?
  3. 3.12 : 13 = 48 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  6. 6.Divide ₹612 between Ananya and Priya in the ratio 7 : 5. How much does Ananya get (in ₹)?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.9 : 7 = 63 : ?
  9. 9.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  10. 10.10 : 12 = 40 : ?
  11. 11.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  12. 12.9 : 5 = 54 : ?
  13. 13.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  14. 14.12 : 7 = 96 : ?
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.Divide ₹264 between Arjun and Priya in the ratio 5 : 3. How much does Arjun get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  18. 18.Divide ₹75 between Kabir and Sneha in the ratio 2 : 3. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  20. 20.Divide ₹510 between Priya and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  21. 21.4 : 7 = 24 : ?
  22. 22.Divide ₹320 between Priya and Ishaan in the ratio 1 : 9. How much does Priya get (in ₹)?
  23. 23.6 : 7 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  28. 28.5 : 3 = 15 : ?
  29. 29.8 : 3 = 64 : ?
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Divide ₹396 between Ananya and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.Divide ₹513 between Arjun and Aarav in the ratio 5 : 4. How much does Aarav get (in ₹)?
  34. 34.Divide ₹396 between Diya and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  35. 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  36. 36.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  37. 37.Divide ₹228 between Kabir and Tara in the ratio 5 : 7. How much does Tara get (in ₹)?
  38. 38.10 : 4 = 20 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?

Answer key

  1. 135
  2. 54
  3. 52
  4. 30
  5. 8
  6. 357
  7. 48
  8. 49
  9. 9
  10. 48
  11. 27
  12. 30
  13. 20
  14. 56
  15. 128
  16. 165
  17. 24
  18. 30
  19. 9
  20. 153
  21. 42
  22. 32
  23. 21
  24. 10
  25. 75
  26. 80
  27. 14
  28. 9
  29. 24
  30. 150
  31. 324
  32. 24
  33. 228
  34. 44
  35. 20
  36. 48
  37. 133
  38. 8
  39. 8
  40. 8

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