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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 923 · 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).

NameDateTime takenScore ___ / 40
  1. 1.4 : 12 = 12 : ?
  2. 2.Divide ₹143 between Farhan and Diya in the ratio 8 : 3. How much does Farhan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  4. 4.4 : 11 = 36 : ?
  5. 5.6 : 13 = 12 : ?
  6. 6.Divide ₹128 between Aditya and Ishaan in the ratio 7 : 1. How much does Ishaan get (in ₹)?
  7. 7.Divide ₹400 between Sneha and Tara in the ratio 3 : 5. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  9. 9.3 : 4 = 9 : ?
  10. 10.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  11. 11.Divide ₹672 between Ishaan and Arjun in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  12. 12.2 : 4 = 4 : ?
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  14. 14.Divide ₹287 between Diya and Kabir in the ratio 4 : 3. How much does Diya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  16. 16.Divide ₹105 between Ananya and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  18. 18.10 : 5 = 50 : ?
  19. 19.Divide ₹51 between Ananya and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  20. 20.Divide ₹286 between Kabir and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  22. 22.2 : 5 = 10 : ?
  23. 23.10 : 5 = 70 : ?
  24. 24.Divide ₹176 between Meera and Arjun in the ratio 3 : 8. How much does Arjun get (in ₹)?
  25. 25.Divide ₹120 between Zoya and Vivaan in the ratio 1 : 3. How much does Zoya get (in ₹)?
  26. 26.Divide ₹369 between Karan and Nisha in the ratio 7 : 2. How much does Nisha get (in ₹)?
  27. 27.Divide ₹330 between Arjun and Nisha in the ratio 5 : 6. How much does Arjun get (in ₹)?
  28. 28.2 : 9 = 12 : ?
  29. 29.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  30. 30.10 : 13 = 70 : ?
  31. 31.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  36. 36.Divide ₹56 between Karan and Vivaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹259 between Kavya and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  38. 38.3 : 14 = 18 : ?
  39. 39.3 : 15 = 24 : ?
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 36
  2. 104
  3. 18
  4. 99
  5. 26
  6. 16
  7. 150
  8. 9
  9. 12
  10. 16
  11. 378
  12. 8
  13. 15
  14. 164
  15. 9
  16. 35
  17. 12
  18. 25
  19. 34
  20. 52
  21. 56
  22. 25
  23. 35
  24. 128
  25. 30
  26. 82
  27. 150
  28. 54
  29. 14
  30. 91
  31. 15
  32. 12
  33. 27
  34. 200
  35. 2
  36. 21
  37. 185
  38. 84
  39. 120
  40. 128

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