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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 869 · 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 2 boys. How many girls are there?
  2. 2.3 : 5 = 15 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  5. 5.Divide ₹341 between Aditya and Ananya in the ratio 8 : 3. How much does Aditya get (in ₹)?
  6. 6.Divide ₹338 between Priya and Tara in the ratio 8 : 5. How much does Tara get (in ₹)?
  7. 7.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  8. 8.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.Divide ₹484 between Ishaan and Kavya in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  14. 14.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  15. 15.4 : 2 = 8 : ?
  16. 16.Divide ₹60 between Dev and Aarav in the ratio 3 : 2. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.Divide ₹110 between Diya and Vivaan in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  20. 20.4 : 6 = 32 : ?
  21. 21.12 : 8 = 84 : ?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Divide ₹160 between Diya and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  30. 30.5 : 14 = 25 : ?
  31. 31.11 : 13 = 66 : ?
  32. 32.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  34. 34.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  38. 38.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  39. 39.4 : 10 = 12 : ?
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 16
  2. 25
  3. 63
  4. 20
  5. 248
  6. 130
  7. 18
  8. 45
  9. 96
  10. 352
  11. 6
  12. 20
  13. 8
  14. 54
  15. 4
  16. 36
  17. 12
  18. 112
  19. 99
  20. 48
  21. 56
  22. 35
  23. 75
  24. 15
  25. 8
  26. 27
  27. 2
  28. 20
  29. 120
  30. 70
  31. 78
  32. 24
  33. 32
  34. 21
  35. 50
  36. 72
  37. 54
  38. 36
  39. 30
  40. 100

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