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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 104 · 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 8 : 7. There are 72 boys. How many girls are there?
  2. 2.Divide ₹295 between Rohan and Sneha in the ratio 1 : 4. How much does Sneha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  4. 4.Divide ₹230 between Sneha and Aditya in the ratio 2 : 3. How much does Sneha get (in ₹)?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.Divide ₹640 between Priya and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
  7. 7.12 : 3 = 24 : ?
  8. 8.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  9. 9.Divide ₹440 between Meera and Zoya in the ratio 3 : 5. How much does Zoya get (in ₹)?
  10. 10.4 : 15 = 32 : ?
  11. 11.9 : 15 = 72 : ?
  12. 12.2 : 13 = 12 : ?
  13. 13.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  14. 14.Divide ₹168 between Ishaan and Dev in the ratio 7 : 5. How much does Dev get (in ₹)?
  15. 15.6 : 2 = 24 : ?
  16. 16.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  17. 17.Divide ₹260 between Tara and Sneha in the ratio 4 : 1. How much does Sneha get (in ₹)?
  18. 18.12 : 13 = 84 : ?
  19. 19.Divide ₹590 between Meera and Farhan in the ratio 9 : 1. How much does Meera get (in ₹)?
  20. 20.Divide ₹530 between Diya and Sneha in the ratio 3 : 7. How much does Diya get (in ₹)?
  21. 21.5 : 3 = 20 : ?
  22. 22.10 : 4 = 30 : ?
  23. 23.Divide ₹476 between Aditya and Ananya in the ratio 9 : 5. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  27. 27.8 : 7 = 72 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  29. 29.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  30. 30.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  34. 34.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  35. 35.Divide ₹250 between Aditya and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  36. 36.Divide ₹150 between Pooja and Nisha in the ratio 3 : 2. How much does Nisha get (in ₹)?
  37. 37.Divide ₹649 between Kavya and Sneha in the ratio 5 : 6. How much does Sneha get (in ₹)?
  38. 38.2 : 13 = 10 : ?
  39. 39.4 : 5 = 32 : ?
  40. 40.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).

Answer key

  1. 63
  2. 236
  3. 8
  4. 92
  5. 128
  6. 360
  7. 6
  8. 15
  9. 275
  10. 120
  11. 120
  12. 78
  13. 14
  14. 70
  15. 8
  16. 32
  17. 52
  18. 91
  19. 531
  20. 159
  21. 12
  22. 12
  23. 170
  24. 30
  25. 10
  26. 12
  27. 63
  28. 8
  29. 96
  30. 42
  31. 16
  32. 48
  33. 8
  34. 112
  35. 50
  36. 60
  37. 354
  38. 65
  39. 40
  40. 28

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