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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 911 · 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 1 : 8. There are 6 boys. How many girls are there?
  2. 2.9 : 2 = 72 : ?
  3. 3.4 : 8 = 32 : ?
  4. 4.5 : 2 = 45 : ?
  5. 5.Divide ₹182 between Saanvi and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
  7. 7.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.Divide ₹57 between Sneha and Nisha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  10. 10.2 : 15 = 16 : ?
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  13. 13.8 : 15 = 40 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  15. 15.12 : 13 = 36 : ?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.Divide ₹286 between Zoya and Rohan in the ratio 6 : 7. How much does Zoya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  19. 19.8 : 15 = 48 : ?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  22. 22.6 : 4 = 24 : ?
  23. 23.Divide ₹165 between Meera and Pooja in the ratio 2 : 3. How much does Meera get (in ₹)?
  24. 24.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  25. 25.9 : 10 = 63 : ?
  26. 26.10 : 5 = 70 : ?
  27. 27.Divide ₹363 between Aarav and Diya in the ratio 4 : 7. How much does Aarav get (in ₹)?
  28. 28.6 : 14 = 54 : ?
  29. 29.3 : 7 = 15 : ?
  30. 30.Divide ₹287 between Priya and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  31. 31.Divide ₹44 between Isha and Priya in the ratio 3 : 1. How much does Isha get (in ₹)?
  32. 32.Divide ₹312 between Karan and Nisha in the ratio 5 : 1. How much does Karan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  35. 35.3 : 6 = 6 : ?
  36. 36.12 : 2 = 72 : ?
  37. 37.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  38. 38.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  39. 39.7 : 12 = 42 : ?
  40. 40.11 : 10 = 33 : ?

Answer key

  1. 48
  2. 16
  3. 64
  4. 18
  5. 84
  6. 42
  7. 20
  8. 128
  9. 38
  10. 120
  11. 12
  12. 18
  13. 75
  14. 64
  15. 39
  16. 8
  17. 132
  18. 30
  19. 90
  20. 16
  21. 7
  22. 16
  23. 66
  24. 112
  25. 70
  26. 35
  27. 132
  28. 126
  29. 35
  30. 41
  31. 33
  32. 260
  33. 8
  34. 8
  35. 12
  36. 12
  37. 63
  38. 72
  39. 72
  40. 30

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