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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 509 · 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).

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  1. 1.Divide ₹250 between Saanvi and Dev in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  2. 2.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  3. 3.Divide ₹42 between Pooja and Dev in the ratio 1 : 5. How much does Pooja get (in ₹)?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  7. 7.11 : 5 = 99 : ?
  8. 8.5 : 7 = 30 : ?
  9. 9.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  10. 10.Divide ₹102 between Ananya and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  11. 11.Divide ₹294 between Kavya and Karan in the ratio 5 : 1. How much does Karan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.5 : 11 = 10 : ?
  15. 15.Divide ₹50 between Rohan and Saanvi in the ratio 9 : 1. How much does Rohan get (in ₹)?
  16. 16.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  17. 17.Divide ₹348 between Aarav and Rahul in the ratio 1 : 5. How much does Aarav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  19. 19.8 : 12 = 24 : ?
  20. 20.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  21. 21.Divide ₹72 between Arjun and Pooja in the ratio 1 : 3. How much does Arjun get (in ₹)?
  22. 22.Divide ₹338 between Rohan and Vivaan in the ratio 4 : 9. How much does Rohan get (in ₹)?
  23. 23.12 : 8 = 60 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  32. 32.Divide ₹325 between Aditya and Ishaan in the ratio 9 : 4. How much does Aditya get (in ₹)?
  33. 33.Divide ₹320 between Rohan and Aarav in the ratio 3 : 7. How much does Rohan get (in ₹)?
  34. 34.8 : 10 = 16 : ?
  35. 35.2 : 14 = 14 : ?
  36. 36.Divide ₹462 between Aarav and Saanvi in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  38. 38.Divide ₹70 between Pooja and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  39. 39.12 : 8 = 24 : ?
  40. 40.2 : 8 = 16 : ?

Answer key

  1. 200
  2. 150
  3. 7
  4. 54
  5. 2
  6. 36
  7. 45
  8. 42
  9. 112
  10. 68
  11. 49
  12. 3
  13. 75
  14. 22
  15. 45
  16. 36
  17. 58
  18. 27
  19. 36
  20. 63
  21. 18
  22. 104
  23. 40
  24. 5
  25. 12
  26. 28
  27. 100
  28. 10
  29. 72
  30. 27
  31. 49
  32. 225
  33. 96
  34. 20
  35. 98
  36. 252
  37. 28
  38. 25
  39. 16
  40. 64

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