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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 441 · 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).

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  1. 1.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  2. 2.Divide ₹250 between Isha and Diya in the ratio 7 : 3. How much does Diya get (in ₹)?
  3. 3.2 : 14 = 16 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  5. 5.12 : 10 = 108 : ?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  8. 8.3 : 7 = 15 : ?
  9. 9.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  11. 11.9 : 8 = 36 : ?
  12. 12.Divide ₹169 between Priya and Karan in the ratio 6 : 7. How much does Karan get (in ₹)?
  13. 13.Divide ₹322 between Priya and Rohan in the ratio 1 : 6. How much does Priya get (in ₹)?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.9 : 14 = 81 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  19. 19.Divide ₹242 between Isha and Dev in the ratio 5 : 6. How much does Dev get (in ₹)?
  20. 20.Divide ₹550 between Zoya and Aarav in the ratio 4 : 7. How much does Zoya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  22. 22.7 : 6 = 35 : ?
  23. 23.Divide ₹117 between Ishaan and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  25. 25.Divide ₹40 between Tara and Rohan in the ratio 7 : 1. How much does Rohan get (in ₹)?
  26. 26.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  29. 29.2 : 7 = 12 : ?
  30. 30.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  31. 31.Divide ₹351 between Sneha and Diya in the ratio 5 : 8. How much does Diya get (in ₹)?
  32. 32.Divide ₹720 between Aarav and Rohan in the ratio 9 : 7. How much does Aarav get (in ₹)?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.5 : 14 = 30 : ?
  35. 35.11 : 5 = 33 : ?
  36. 36.11 : 10 = 66 : ?
  37. 37.Divide ₹66 between Aarav and Tara in the ratio 1 : 2. How much does Aarav get (in ₹)?
  38. 38.10 : 6 = 80 : ?
  39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  40. 40.Divide ₹522 between Aditya and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?

Answer key

  1. 24
  2. 75
  3. 112
  4. 40
  5. 90
  6. 12
  7. 25
  8. 35
  9. 20
  10. 18
  11. 32
  12. 91
  13. 46
  14. 8
  15. 96
  16. 80
  17. 126
  18. 40
  19. 132
  20. 200
  21. 8
  22. 30
  23. 78
  24. 6
  25. 5
  26. 32
  27. 100
  28. 40
  29. 42
  30. 32
  31. 216
  32. 405
  33. 48
  34. 84
  35. 15
  36. 60
  37. 22
  38. 48
  39. 45
  40. 58

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