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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 626 · 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 ₹153 between Sneha and Dev in the ratio 1 : 2. How much does Sneha get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  4. 4.10 : 2 = 50 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.6 : 8 = 54 : ?
  8. 8.4 : 6 = 12 : ?
  9. 9.8 : 15 = 32 : ?
  10. 10.Divide ₹630 between Vivaan and Sneha in the ratio 7 : 8. How much does Sneha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  12. 12.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  15. 15.Divide ₹200 between Priya and Nisha in the ratio 7 : 1. How much does Nisha get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  17. 17.Divide ₹378 between Ananya and Karan in the ratio 5 : 9. How much does Ananya get (in ₹)?
  18. 18.Divide ₹560 between Diya and Rohan in the ratio 7 : 9. How much does Diya get (in ₹)?
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Divide ₹210 between Aarav and Aditya in the ratio 7 : 3. How much does Aditya get (in ₹)?
  21. 21.Divide ₹117 between Ishaan and Vivaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
  22. 22.Divide ₹88 between Karan and Nisha in the ratio 4 : 7. How much does Karan get (in ₹)?
  23. 23.Divide ₹660 between Arjun and Ishaan in the ratio 3 : 8. How much does Arjun get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  25. 25.Divide ₹258 between Karan and Kabir in the ratio 1 : 5. How much does Karan get (in ₹)?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.3 : 13 = 9 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  32. 32.6 : 4 = 54 : ?
  33. 33.4 : 11 = 12 : ?
  34. 34.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  35. 35.Divide ₹260 between Aarav and Meera in the ratio 1 : 4. How much does Aarav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  37. 37.11 : 13 = 66 : ?
  38. 38.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  39. 39.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  40. 40.5 : 11 = 10 : ?

Answer key

  1. 51
  2. 80
  3. 49
  4. 10
  5. 6
  6. 72
  7. 72
  8. 18
  9. 60
  10. 336
  11. 8
  12. 128
  13. 42
  14. 18
  15. 25
  16. 48
  17. 135
  18. 245
  19. 18
  20. 63
  21. 63
  22. 32
  23. 180
  24. 20
  25. 43
  26. 63
  27. 39
  28. 45
  29. 7
  30. 36
  31. 75
  32. 36
  33. 33
  34. 36
  35. 52
  36. 45
  37. 78
  38. 96
  39. 12
  40. 22

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