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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 51 · 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. 1.12 : 14 = 36 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.Divide ₹104 between Ananya and Isha in the ratio 1 : 7. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.Divide ₹520 between Sneha and Farhan in the ratio 5 : 8. How much does Farhan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  11. 11.Divide ₹288 between Ishaan and Farhan in the ratio 4 : 5. How much does Ishaan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  13. 13.Divide ₹168 between Ananya and Vivaan in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹116 between Ananya and Pooja in the ratio 3 : 1. How much does Ananya get (in ₹)?
  15. 15.6 : 5 = 30 : ?
  16. 16.Divide ₹247 between Rahul and Vivaan in the ratio 9 : 4. How much does Rahul get (in ₹)?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.Divide ₹416 between Isha and Aditya in the ratio 7 : 9. How much does Aditya get (in ₹)?
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  21. 21.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  22. 22.4 : 7 = 12 : ?
  23. 23.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  24. 24.Divide ₹364 between Aarav and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  25. 25.Divide ₹273 between Nisha and Meera in the ratio 5 : 8. How much does Nisha get (in ₹)?
  26. 26.12 : 13 = 36 : ?
  27. 27.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  29. 29.Divide ₹364 between Rahul and Isha in the ratio 6 : 7. How much does Rahul get (in ₹)?
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  32. 32.Divide ₹132 between Rohan and Arjun in the ratio 2 : 9. How much does Arjun get (in ₹)?
  33. 33.Divide ₹198 between Farhan and Ishaan in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  36. 36.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  37. 37.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
  38. 38.Divide ₹205 between Vivaan and Farhan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  39. 39.Divide ₹572 between Sneha and Manav in the ratio 5 : 8. How much does Manav get (in ₹)?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 42
  2. 15
  3. 200
  4. 64
  5. 54
  6. 150
  7. 13
  8. 50
  9. 320
  10. 6
  11. 128
  12. 48
  13. 126
  14. 87
  15. 25
  16. 171
  17. 8
  18. 234
  19. 16
  20. 27
  21. 12
  22. 21
  23. 8
  24. 52
  25. 105
  26. 39
  27. 48
  28. 12
  29. 168
  30. 72
  31. 7
  32. 108
  33. 72
  34. 45
  35. 28
  36. 112
  37. 20
  38. 41
  39. 352
  40. 32

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