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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 33 · 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.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  2. 2.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  3. 3.11 : 13 = 66 : ?
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  5. 5.Divide ₹264 between Meera and Arjun in the ratio 8 : 3. How much does Meera get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  7. 7.Divide ₹238 between Farhan and Dev in the ratio 9 : 5. How much does Farhan get (in ₹)?
  8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.11 : 10 = 22 : ?
  11. 11.3 : 15 = 6 : ?
  12. 12.4 : 9 = 12 : ?
  13. 13.Divide ₹161 between Arjun and Manav in the ratio 5 : 2. How much does Arjun get (in ₹)?
  14. 14.Divide ₹686 between Karan and Sneha in the ratio 9 : 5. How much does Sneha get (in ₹)?
  15. 15.5 : 4 = 40 : ?
  16. 16.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  17. 17.Divide ₹30 between Tara and Rahul in the ratio 1 : 2. How much does Tara get (in ₹)?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.8 : 13 = 72 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  21. 21.4 : 11 = 36 : ?
  22. 22.Divide ₹108 between Vivaan and Nisha in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  24. 24.Divide ₹736 between Meera and Farhan in the ratio 7 : 9. How much does Meera get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Divide ₹440 between Dev and Ishaan in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  29. 29.Divide ₹468 between Arjun and Aditya in the ratio 4 : 5. How much does Arjun get (in ₹)?
  30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.4 : 8 = 28 : ?
  32. 32.Divide ₹560 between Kavya and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  33. 33.6 : 4 = 12 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  35. 35.Divide ₹416 between Dev and Manav in the ratio 6 : 7. How much does Manav get (in ₹)?
  36. 36.10 : 13 = 70 : ?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.8 : 13 = 48 : ?
  39. 39.Divide ₹387 between Priya and Manav in the ratio 4 : 5. How much does Manav get (in ₹)?
  40. 40.Divide ₹464 between Aditya and Rohan in the ratio 9 : 7. How much does Aditya get (in ₹)?

Answer key

  1. 63
  2. 50
  3. 78
  4. 8
  5. 192
  6. 42
  7. 153
  8. 81
  9. 27
  10. 20
  11. 30
  12. 27
  13. 115
  14. 245
  15. 32
  16. 72
  17. 10
  18. 175
  19. 117
  20. 49
  21. 99
  22. 90
  23. 40
  24. 322
  25. 48
  26. 240
  27. 16
  28. 49
  29. 208
  30. 12
  31. 56
  32. 168
  33. 8
  34. 24
  35. 224
  36. 91
  37. 24
  38. 78
  39. 215
  40. 261

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