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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 182 · 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.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  2. 2.Divide ₹405 between Aditya and Diya in the ratio 4 : 5. How much does Diya get (in ₹)?
  3. 3.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  4. 4.2 : 6 = 8 : ?
  5. 5.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  6. 6.Divide ₹240 between Kavya and Aditya in the ratio 5 : 1. How much does Kavya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  8. 8.Divide ₹301 between Rohan and Vivaan in the ratio 5 : 2. How much does Rohan get (in ₹)?
  9. 9.Divide ₹296 between Nisha and Aarav in the ratio 5 : 3. How much does Nisha get (in ₹)?
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  12. 12.10 : 15 = 20 : ?
  13. 13.Divide ₹48 between Zoya and Arjun in the ratio 3 : 1. How much does Zoya get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  15. 15.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.11 : 12 = 88 : ?
  18. 18.Divide ₹85 between Priya and Pooja in the ratio 8 : 9. How much does Priya get (in ₹)?
  19. 19.Divide ₹520 between Tara and Vivaan in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  20. 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  22. 22.10 : 11 = 80 : ?
  23. 23.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  24. 24.Divide ₹300 between Farhan and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.6 : 8 = 54 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  31. 31.11 : 4 = 33 : ?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
  33. 33.7 : 12 = 21 : ?
  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 3 : 1. There are 30 boys. How many girls are there?
  36. 36.9 : 14 = 63 : ?
  37. 37.Divide ₹675 between Kabir and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?

Answer key

  1. 35
  2. 225
  3. 72
  4. 24
  5. 96
  6. 200
  7. 90
  8. 215
  9. 185
  10. 81
  11. 3
  12. 30
  13. 36
  14. 32
  15. 32
  16. 125
  17. 96
  18. 40
  19. 156
  20. 8
  21. 18
  22. 88
  23. 27
  24. 240
  25. 27
  26. 72
  27. 20
  28. 50
  29. 100
  30. 56
  31. 12
  32. 15
  33. 36
  34. 24
  35. 10
  36. 98
  37. 315
  38. 30
  39. 8
  40. 4

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