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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 3 · 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 3 and 9 (that is, 3 : 9 = 9 : ?).
  2. 2.Divide ₹315 between Diya and Kavya in the ratio 7 : 2. How much does Diya get (in ₹)?
  3. 3.6 : 15 = 36 : ?
  4. 4.Divide ₹153 between Aditya and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  5. 5.3 : 5 = 15 : ?
  6. 6.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  7. 7.2 : 3 = 12 : ?
  8. 8.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  10. 10.6 : 11 = 48 : ?
  11. 11.Divide ₹45 between Kavya and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  12. 12.Divide ₹180 between Arjun and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.Divide ₹574 between Tara and Zoya in the ratio 9 : 5. How much does Zoya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  16. 16.8 : 3 = 48 : ?
  17. 17.2 : 5 = 6 : ?
  18. 18.Divide ₹90 between Ananya and Aarav in the ratio 1 : 4. How much does Ananya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.5 : 12 = 20 : ?
  22. 22.Divide ₹280 between Rahul and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.5 : 10 = 20 : ?
  25. 25.10 : 6 = 20 : ?
  26. 26.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  27. 27.12 : 4 = 108 : ?
  28. 28.Divide ₹396 between Diya and Aditya in the ratio 8 : 3. How much does Aditya get (in ₹)?
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.5 : 14 = 25 : ?
  31. 31.Divide ₹486 between Dev and Vivaan in the ratio 4 : 5. How much does Dev get (in ₹)?
  32. 32.Divide ₹156 between Aditya and Arjun in the ratio 9 : 4. How much does Aditya get (in ₹)?
  33. 33.Divide ₹450 between Ishaan and Pooja in the ratio 3 : 7. How much does Ishaan get (in ₹)?
  34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  35. 35.Divide ₹385 between Diya and Vivaan in the ratio 6 : 1. How much does Diya get (in ₹)?
  36. 36.Divide ₹690 between Ishaan and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.6 : 4 = 36 : ?
  39. 39.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?

Answer key

  1. 27
  2. 245
  3. 90
  4. 85
  5. 25
  6. 35
  7. 18
  8. 16
  9. 81
  10. 88
  11. 5
  12. 18
  13. 100
  14. 205
  15. 20
  16. 18
  17. 15
  18. 18
  19. 42
  20. 81
  21. 48
  22. 200
  23. 32
  24. 40
  25. 12
  26. 24
  27. 36
  28. 108
  29. 150
  30. 70
  31. 216
  32. 108
  33. 135
  34. 28
  35. 330
  36. 368
  37. 200
  38. 24
  39. 35
  40. 36

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