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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 519 · 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.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  2. 2.Divide ₹301 between Zoya and Ananya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  3. 3.Divide ₹944 between Arjun and Ishaan in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  4. 4.Divide ₹63 between Rohan and Tara in the ratio 4 : 5. How much does Tara get (in ₹)?
  5. 5.Divide ₹468 between Dev and Zoya in the ratio 5 : 4. How much does Zoya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.12 : 15 = 108 : ?
  11. 11.2 : 5 = 4 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.Divide ₹69 between Farhan and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  16. 16.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  18. 18.11 : 13 = 22 : ?
  19. 19.4 : 3 = 8 : ?
  20. 20.Divide ₹70 between Vivaan and Meera in the ratio 1 : 4. How much does Meera get (in ₹)?
  21. 21.Divide ₹156 between Meera and Aditya in the ratio 7 : 5. How much does Meera get (in ₹)?
  22. 22.Divide ₹175 between Rahul and Nisha in the ratio 5 : 2. How much does Rahul get (in ₹)?
  23. 23.7 : 5 = 56 : ?
  24. 24.2 : 9 = 6 : ?
  25. 25.Divide ₹209 between Aarav and Meera in the ratio 9 : 2. How much does Aarav get (in ₹)?
  26. 26.9 : 12 = 36 : ?
  27. 27.11 : 9 = 55 : ?
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Divide ₹60 between Ananya and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  30. 30.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  31. 31.5 : 6 = 15 : ?
  32. 32.Divide ₹308 between Meera and Karan in the ratio 8 : 3. How much does Karan get (in ₹)?
  33. 33.2 : 6 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  36. 36.6 : 13 = 36 : ?
  37. 37.Divide ₹372 between Manav and Zoya in the ratio 7 : 5. How much does Manav get (in ₹)?
  38. 38.Divide ₹285 between Rahul and Arjun in the ratio 8 : 7. How much does Rahul get (in ₹)?
  39. 39.Divide ₹649 between Sneha and Karan in the ratio 5 : 6. How much does Sneha get (in ₹)?
  40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

Answer key

  1. 54
  2. 215
  3. 413
  4. 35
  5. 208
  6. 63
  7. 12
  8. 32
  9. 75
  10. 135
  11. 10
  12. 49
  13. 36
  14. 46
  15. 15
  16. 27
  17. 18
  18. 26
  19. 6
  20. 56
  21. 91
  22. 125
  23. 40
  24. 27
  25. 171
  26. 48
  27. 45
  28. 20
  29. 45
  30. 50
  31. 18
  32. 84
  33. 54
  34. 8
  35. 4
  36. 78
  37. 217
  38. 152
  39. 295
  40. 64

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