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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 705 · 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.Divide ₹110 between Farhan and Ishaan in the ratio 2 : 3. How much does Farhan get (in ₹)?
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.Divide ₹273 between Sneha and Pooja in the ratio 1 : 6. How much does Sneha get (in ₹)?
  4. 4.8 : 2 = 64 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  6. 6.Divide ₹780 between Farhan and Pooja in the ratio 8 : 5. How much does Farhan get (in ₹)?
  7. 7.Divide ₹224 between Rahul and Dev in the ratio 4 : 3. How much does Rahul get (in ₹)?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.6 : 12 = 54 : ?
  10. 10.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  12. 12.Divide ₹464 between Zoya and Pooja in the ratio 5 : 3. How much does Pooja get (in ₹)?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.2 : 8 = 6 : ?
  15. 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  16. 16.Divide ₹296 between Diya and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  21. 21.Divide ₹495 between Isha and Aarav in the ratio 8 : 3. How much does Isha get (in ₹)?
  22. 22.Divide ₹477 between Manav and Aditya in the ratio 4 : 5. How much does Aditya get (in ₹)?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.4 : 3 = 16 : ?
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.11 : 5 = 77 : ?
  29. 29.3 : 12 = 27 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  31. 31.Divide ₹672 between Ishaan and Rahul in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
  33. 33.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  35. 35.Divide ₹128 between Diya and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  36. 36.4 : 14 = 16 : ?
  37. 37.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  38. 38.7 : 5 = 63 : ?
  39. 39.4 : 11 = 28 : ?
  40. 40.7 : 8 = 63 : ?

Answer key

  1. 44
  2. 24
  3. 39
  4. 16
  5. 20
  6. 480
  7. 128
  8. 48
  9. 108
  10. 96
  11. 27
  12. 174
  13. 36
  14. 24
  15. 72
  16. 111
  17. 45
  18. 32
  19. 80
  20. 2
  21. 360
  22. 265
  23. 18
  24. 12
  25. 128
  26. 100
  27. 12
  28. 35
  29. 108
  30. 9
  31. 432
  32. 72
  33. 150
  34. 35
  35. 48
  36. 56
  37. 27
  38. 45
  39. 77
  40. 72

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