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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 283 · 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 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  4. 4.2 : 7 = 6 : ?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.Divide ₹434 between Isha and Pooja in the ratio 5 : 9. How much does Isha get (in ₹)?
  8. 8.Divide ₹304 between Rohan and Manav in the ratio 1 : 7. How much does Rohan get (in ₹)?
  9. 9.9 : 12 = 27 : ?
  10. 10.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  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 5 : 4. There are 30 boys. How many girls are there?
  14. 14.Divide ₹224 between Ishaan and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  18. 18.Divide ₹91 between Sneha and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  19. 19.Divide ₹48 between Diya and Arjun in the ratio 3 : 5. How much does Arjun get (in ₹)?
  20. 20.Divide ₹494 between Nisha and Saanvi in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  21. 21.Divide ₹160 between Farhan and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
  22. 22.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  23. 23.4 : 14 = 20 : ?
  24. 24.5 : 7 = 10 : ?
  25. 25.Divide ₹459 between Priya and Diya in the ratio 9 : 8. How much does Priya get (in ₹)?
  26. 26.8 : 12 = 16 : ?
  27. 27.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  29. 29.7 : 5 = 21 : ?
  30. 30.Divide ₹282 between Vivaan and Aditya in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  31. 31.Divide ₹63 between Aarav and Zoya in the ratio 2 : 1. How much does Aarav get (in ₹)?
  32. 32.5 : 10 = 40 : ?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.4 : 14 = 16 : ?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  38. 38.Divide ₹264 between Arjun and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  39. 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  40. 40.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?

Answer key

  1. 48
  2. 72
  3. 45
  4. 21
  5. 75
  6. 8
  7. 155
  8. 38
  9. 36
  10. 10
  11. 225
  12. 128
  13. 24
  14. 160
  15. 10
  16. 12
  17. 72
  18. 56
  19. 30
  20. 304
  21. 96
  22. 150
  23. 70
  24. 14
  25. 243
  26. 24
  27. 20
  28. 6
  29. 15
  30. 47
  31. 42
  32. 80
  33. 63
  34. 56
  35. 24
  36. 27
  37. 28
  38. 154
  39. 112
  40. 63

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