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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 92 · 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 3 : 1. There are 15 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  3. 3.Divide ₹468 between Ananya and Diya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  4. 4.Divide ₹128 between Manav and Zoya in the ratio 3 : 5. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  8. 8.10 : 8 = 90 : ?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.12 : 5 = 108 : ?
  11. 11.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  12. 12.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  13. 13.Divide ₹99 between Dev and Diya in the ratio 2 : 7. How much does Diya get (in ₹)?
  14. 14.4 : 9 = 36 : ?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  19. 19.Divide ₹840 between Aditya and Isha in the ratio 9 : 5. How much does Isha get (in ₹)?
  20. 20.5 : 8 = 10 : ?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  23. 23.Divide ₹247 between Arjun and Dev in the ratio 9 : 4. How much does Arjun get (in ₹)?
  24. 24.Divide ₹418 between Ishaan and Karan in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  25. 25.8 : 6 = 16 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  28. 28.Divide ₹168 between Aditya and Aarav in the ratio 1 : 2. How much does Aditya get (in ₹)?
  29. 29.Divide ₹434 between Meera and Manav in the ratio 5 : 9. How much does Manav get (in ₹)?
  30. 30.5 : 7 = 15 : ?
  31. 31.Divide ₹550 between Rohan and Arjun in the ratio 9 : 2. How much does Arjun get (in ₹)?
  32. 32.9 : 8 = 63 : ?
  33. 33.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  34. 34.10 : 8 = 20 : ?
  35. 35.Divide ₹390 between Zoya and Rohan in the ratio 9 : 4. How much does Zoya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  37. 37.4 : 6 = 28 : ?
  38. 38.8 : 13 = 48 : ?
  39. 39.3 : 11 = 9 : ?
  40. 40.Divide ₹376 between Dev and Aditya in the ratio 5 : 3. How much does Dev get (in ₹)?

Answer key

  1. 5
  2. 125
  3. 104
  4. 48
  5. 35
  6. 49
  7. 14
  8. 72
  9. 8
  10. 45
  11. 128
  12. 72
  13. 77
  14. 81
  15. 20
  16. 40
  17. 15
  18. 4
  19. 300
  20. 16
  21. 32
  22. 32
  23. 171
  24. 190
  25. 12
  26. 12
  27. 10
  28. 56
  29. 279
  30. 21
  31. 100
  32. 56
  33. 25
  34. 16
  35. 270
  36. 42
  37. 42
  38. 78
  39. 33
  40. 235

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