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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 24 · 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 8 and 40 (that is, 8 : 40 = 40 : ?).
  2. 2.4 : 5 = 12 : ?
  3. 3.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  5. 5.11 : 4 = 66 : ?
  6. 6.7 : 8 = 35 : ?
  7. 7.Divide ₹399 between Aditya and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  8. 8.3 : 2 = 21 : ?
  9. 9.Divide ₹407 between Kavya and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  11. 11.4 : 14 = 20 : ?
  12. 12.Divide ₹672 between Priya and Diya in the ratio 7 : 9. How much does Diya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  14. 14.11 : 7 = 55 : ?
  15. 15.Divide ₹64 between Kavya and Ishaan in the ratio 5 : 3. How much does Kavya get (in ₹)?
  16. 16.10 : 4 = 50 : ?
  17. 17.5 : 7 = 15 : ?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.9 : 8 = 27 : ?
  20. 20.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  24. 24.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  28. 28.2 : 11 = 14 : ?
  29. 29.Divide ₹120 between Priya and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  30. 30.9 : 15 = 54 : ?
  31. 31.12 : 13 = 36 : ?
  32. 32.Divide ₹299 between Tara and Isha in the ratio 8 : 5. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  38. 38.Divide ₹186 between Meera and Isha in the ratio 1 : 5. How much does Isha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?

Answer key

  1. 200
  2. 15
  3. 4
  4. 63
  5. 24
  6. 40
  7. 285
  8. 14
  9. 259
  10. 21
  11. 70
  12. 378
  13. 6
  14. 35
  15. 40
  16. 20
  17. 21
  18. 8
  19. 24
  20. 112
  21. 16
  22. 18
  23. 3
  24. 225
  25. 50
  26. 8
  27. 6
  28. 77
  29. 72
  30. 90
  31. 39
  32. 115
  33. 15
  34. 24
  35. 40
  36. 6
  37. 8
  38. 155
  39. 3
  40. 20

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