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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 563 · 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. 1.3 : 5 = 18 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  3. 3.Divide ₹390 between Aarav and Ishaan in the ratio 9 : 4. How much does Aarav get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.8 : 7 = 64 : ?
  7. 7.2 : 11 = 18 : ?
  8. 8.3 : 5 = 24 : ?
  9. 9.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  10. 10.Divide ₹45 between Pooja and Arjun in the ratio 5 : 4. How much does Arjun get (in ₹)?
  11. 11.Divide ₹99 between Ananya and Rohan in the ratio 4 : 7. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  14. 14.Divide ₹320 between Manav and Kabir in the ratio 1 : 7. How much does Manav get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  16. 16.9 : 2 = 36 : ?
  17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  18. 18.Divide ₹507 between Aditya and Ishaan in the ratio 6 : 7. How much does Aditya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  22. 22.7 : 14 = 28 : ?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  26. 26.Divide ₹528 between Pooja and Farhan in the ratio 2 : 9. How much does Pooja get (in ₹)?
  27. 27.11 : 4 = 66 : ?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  31. 31.Divide ₹228 between Ananya and Aditya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  32. 32.4 : 5 = 36 : ?
  33. 33.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  34. 34.6 : 11 = 24 : ?
  35. 35.9 : 13 = 18 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  37. 37.9 : 6 = 81 : ?
  38. 38.Divide ₹472 between Priya and Rahul in the ratio 7 : 1. How much does Priya get (in ₹)?
  39. 39.8 : 15 = 72 : ?
  40. 40.2 : 13 = 18 : ?

Answer key

  1. 30
  2. 63
  3. 270
  4. 4
  5. 27
  6. 56
  7. 99
  8. 40
  9. 16
  10. 20
  11. 36
  12. 36
  13. 48
  14. 40
  15. 56
  16. 8
  17. 18
  18. 234
  19. 3
  20. 32
  21. 35
  22. 56
  23. 36
  24. 21
  25. 72
  26. 96
  27. 24
  28. 20
  29. 63
  30. 10
  31. 95
  32. 45
  33. 81
  34. 44
  35. 26
  36. 15
  37. 54
  38. 413
  39. 135
  40. 117

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