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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 374 · 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.Divide ₹432 between Rohan and Diya in the ratio 1 : 7. How much does Rohan get (in ₹)?
  2. 2.Divide ₹192 between Arjun and Vivaan in the ratio 7 : 1. How much does Arjun get (in ₹)?
  3. 3.6 : 15 = 42 : ?
  4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  5. 5.4 : 3 = 16 : ?
  6. 6.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  7. 7.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  8. 8.Divide ₹160 between Dev and Farhan in the ratio 4 : 1. How much does Dev get (in ₹)?
  9. 9.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  10. 10.Divide ₹276 between Ishaan and Isha in the ratio 1 : 5. How much does Isha get (in ₹)?
  11. 11.6 : 5 = 24 : ?
  12. 12.8 : 10 = 64 : ?
  13. 13.Divide ₹235 between Rahul and Priya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  15. 15.9 : 14 = 72 : ?
  16. 16.11 : 9 = 55 : ?
  17. 17.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  20. 20.Divide ₹72 between Arjun and Kabir in the ratio 7 : 5. How much does Arjun get (in ₹)?
  21. 21.8 : 9 = 32 : ?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.4 : 14 = 12 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  27. 27.Divide ₹55 between Karan and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  29. 29.11 : 10 = 22 : ?
  30. 30.9 : 3 = 45 : ?
  31. 31.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  35. 35.Divide ₹480 between Meera and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  37. 37.3 : 13 = 15 : ?
  38. 38.3 : 13 = 18 : ?
  39. 39.12 : 3 = 96 : ?
  40. 40.Divide ₹429 between Zoya and Dev in the ratio 5 : 8. How much does Zoya get (in ₹)?

Answer key

  1. 54
  2. 168
  3. 105
  4. 80
  5. 12
  6. 144
  7. 40
  8. 128
  9. 125
  10. 230
  11. 20
  12. 80
  13. 94
  14. 96
  15. 112
  16. 45
  17. 225
  18. 49
  19. 72
  20. 42
  21. 36
  22. 45
  23. 20
  24. 42
  25. 80
  26. 9
  27. 15
  28. 25
  29. 20
  30. 15
  31. 30
  32. 40
  33. 75
  34. 14
  35. 60
  36. 100
  37. 65
  38. 78
  39. 24
  40. 165

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