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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 254 · 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 : 8. There are 18 boys. How many girls are there?
  2. 2.5 : 8 = 15 : ?
  3. 3.4 : 5 = 16 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  5. 5.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  6. 6.Divide ₹162 between Meera and Kavya in the ratio 1 : 5. How much does Meera get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  8. 8.10 : 14 = 90 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  10. 10.Divide ₹56 between Rohan and Arjun in the ratio 6 : 1. How much does Rohan get (in ₹)?
  11. 11.8 : 5 = 72 : ?
  12. 12.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  14. 14.6 : 11 = 48 : ?
  15. 15.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  16. 16.5 : 12 = 30 : ?
  17. 17.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
  18. 18.Divide ₹75 between Priya and Pooja in the ratio 1 : 4. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  21. 21.11 : 3 = 88 : ?
  22. 22.2 : 3 = 10 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
  27. 27.11 : 2 = 44 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  29. 29.5 : 8 = 10 : ?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.Divide ₹60 between Meera and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  35. 35.Divide ₹119 between Arjun and Ishaan in the ratio 1 : 6. How much does Arjun get (in ₹)?
  36. 36.4 : 13 = 28 : ?
  37. 37.Divide ₹36 between Pooja and Farhan in the ratio 2 : 1. How much does Pooja get (in ₹)?
  38. 38.Divide ₹96 between Dev and Vivaan in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 48
  2. 24
  3. 20
  4. 7
  5. 72
  6. 27
  7. 12
  8. 126
  9. 18
  10. 48
  11. 45
  12. 81
  13. 63
  14. 88
  15. 24
  16. 72
  17. 35
  18. 15
  19. 32
  20. 200
  21. 24
  22. 15
  23. 80
  24. 15
  25. 27
  26. 30
  27. 8
  28. 64
  29. 16
  30. 18
  31. 45
  32. 80
  33. 18
  34. 54
  35. 17
  36. 91
  37. 24
  38. 64
  39. 56
  40. 50

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