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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 959 · 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. 1.5 : 3 = 25 : ?
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  4. 4.4 : 2 = 20 : ?
  5. 5.Divide ₹87 between Rahul and Karan in the ratio 2 : 1. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  7. 7.5 : 12 = 15 : ?
  8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  9. 9.Divide ₹210 between Zoya and Farhan in the ratio 1 : 9. How much does Zoya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  11. 11.11 : 8 = 22 : ?
  12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  13. 13.Divide ₹171 between Aditya and Zoya in the ratio 5 : 4. How much does Zoya get (in ₹)?
  14. 14.12 : 13 = 60 : ?
  15. 15.Divide ₹112 between Isha and Aarav in the ratio 3 : 4. How much does Aarav get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  17. 17.Divide ₹187 between Priya and Tara in the ratio 9 : 2. How much does Priya get (in ₹)?
  18. 18.2 : 13 = 14 : ?
  19. 19.Divide ₹768 between Rohan and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?
  20. 20.Divide ₹420 between Aarav and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  21. 21.Divide ₹462 between Diya and Rohan in the ratio 7 : 4. How much does Diya get (in ₹)?
  22. 22.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  23. 23.7 : 6 = 28 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  25. 25.2 : 12 = 16 : ?
  26. 26.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  28. 28.Divide ₹60 between Aarav and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
  29. 29.8 : 10 = 40 : ?
  30. 30.12 : 9 = 84 : ?
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  33. 33.Divide ₹287 between Tara and Vivaan in the ratio 4 : 3. How much does Tara get (in ₹)?
  34. 34.Divide ₹88 between Aditya and Meera in the ratio 8 : 3. How much does Aditya get (in ₹)?
  35. 35.Divide ₹399 between Priya and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  36. 36.2 : 6 = 14 : ?
  37. 37.Divide ₹84 between Rahul and Farhan in the ratio 2 : 5. How much does Rahul get (in ₹)?
  38. 38.3 : 15 = 15 : ?
  39. 39.8 : 9 = 40 : ?
  40. 40.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).

Answer key

  1. 15
  2. 27
  3. 72
  4. 10
  5. 29
  6. 64
  7. 36
  8. 175
  9. 21
  10. 81
  11. 16
  12. 64
  13. 76
  14. 65
  15. 64
  16. 63
  17. 153
  18. 91
  19. 336
  20. 180
  21. 294
  22. 75
  23. 24
  24. 24
  25. 96
  26. 8
  27. 10
  28. 40
  29. 50
  30. 63
  31. 18
  32. 7
  33. 164
  34. 64
  35. 171
  36. 42
  37. 24
  38. 75
  39. 45
  40. 24

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