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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 970 · 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 12 (that is, 6 : 12 = 12 : ?).
  2. 2.6 : 10 = 54 : ?
  3. 3.Divide ₹689 between Zoya and Rahul in the ratio 6 : 7. How much does Zoya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  6. 6.Divide ₹124 between Arjun and Farhan in the ratio 1 : 3. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  8. 8.2 : 7 = 18 : ?
  9. 9.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  10. 10.Divide ₹351 between Manav and Sneha in the ratio 5 : 4. How much does Manav get (in ₹)?
  11. 11.Divide ₹252 between Farhan and Dev in the ratio 7 : 2. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  13. 13.Divide ₹88 between Meera and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  14. 14.5 : 12 = 30 : ?
  15. 15.Divide ₹102 between Diya and Rahul in the ratio 1 : 2. How much does Diya get (in ₹)?
  16. 16.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  17. 17.Divide ₹848 between Kavya and Ananya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  19. 19.Divide ₹125 between Tara and Aarav in the ratio 2 : 3. How much does Tara get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  21. 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  22. 22.Divide ₹224 between Rahul and Vivaan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  23. 23.Divide ₹477 between Aditya and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  24. 24.Divide ₹407 between Aditya and Aarav in the ratio 2 : 9. How much does Aditya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  26. 26.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  27. 27.Divide ₹147 between Farhan and Aarav in the ratio 1 : 2. How much does Farhan get (in ₹)?
  28. 28.6 : 13 = 30 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  30. 30.8 : 5 = 16 : ?
  31. 31.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  32. 32.Divide ₹91 between Aarav and Karan in the ratio 4 : 9. How much does Aarav get (in ₹)?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.Divide ₹472 between Dev and Tara in the ratio 3 : 5. How much does Dev get (in ₹)?
  35. 35.5 : 6 = 30 : ?
  36. 36.11 : 9 = 22 : ?
  37. 37.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  38. 38.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  39. 39.Divide ₹99 between Arjun and Tara in the ratio 4 : 5. How much does Tara get (in ₹)?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 24
  2. 90
  3. 318
  4. 10
  5. 36
  6. 31
  7. 12
  8. 63
  9. 42
  10. 195
  11. 196
  12. 63
  13. 77
  14. 72
  15. 34
  16. 27
  17. 371
  18. 20
  19. 50
  20. 6
  21. 125
  22. 28
  23. 424
  24. 74
  25. 8
  26. 48
  27. 49
  28. 65
  29. 30
  30. 10
  31. 9
  32. 28
  33. 96
  34. 177
  35. 36
  36. 18
  37. 100
  38. 14
  39. 55
  40. 63

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