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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 285 · 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.Divide ₹238 between Vivaan and Diya in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  4. 4.Divide ₹208 between Rohan and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  6. 6.Divide ₹252 between Manav and Nisha in the ratio 5 : 1. How much does Manav get (in ₹)?
  7. 7.Divide ₹598 between Kabir and Aditya in the ratio 4 : 9. How much does Aditya get (in ₹)?
  8. 8.5 : 12 = 15 : ?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.8 : 4 = 72 : ?
  12. 12.Divide ₹123 between Priya and Rahul in the ratio 2 : 1. How much does Priya get (in ₹)?
  13. 13.Divide ₹287 between Dev and Vivaan in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
  15. 15.Divide ₹215 between Arjun and Zoya in the ratio 4 : 1. How much does Arjun get (in ₹)?
  16. 16.Divide ₹155 between Farhan and Ishaan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  21. 21.5 : 12 = 40 : ?
  22. 22.4 : 2 = 16 : ?
  23. 23.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  24. 24.2 : 10 = 12 : ?
  25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  26. 26.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  28. 28.8 : 2 = 32 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  30. 30.5 : 9 = 35 : ?
  31. 31.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹561 between Dev and Karan in the ratio 5 : 6. How much does Dev get (in ₹)?
  34. 34.Divide ₹490 between Tara and Ananya in the ratio 5 : 9. How much does Ananya get (in ₹)?
  35. 35.10 : 9 = 60 : ?
  36. 36.Divide ₹141 between Ananya and Rahul in the ratio 2 : 1. How much does Ananya get (in ₹)?
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.Divide ₹132 between Zoya and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  39. 39.Divide ₹481 between Tara and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 48
  2. 112
  3. 18
  4. 91
  5. 42
  6. 210
  7. 414
  8. 36
  9. 12
  10. 16
  11. 36
  12. 82
  13. 164
  14. 6
  15. 172
  16. 124
  17. 20
  18. 50
  19. 18
  20. 18
  21. 96
  22. 8
  23. 18
  24. 60
  25. 36
  26. 28
  27. 8
  28. 8
  29. 21
  30. 63
  31. 225
  32. 128
  33. 255
  34. 315
  35. 54
  36. 94
  37. 125
  38. 72
  39. 148
  40. 150

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