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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 968 · 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 6 and 30 (that is, 6 : 30 = 30 : ?).
  2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  3. 3.12 : 8 = 108 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  5. 5.3 : 9 = 27 : ?
  6. 6.4 : 12 = 20 : ?
  7. 7.Divide ₹123 between Karan and Diya in the ratio 1 : 2. How much does Diya get (in ₹)?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.10 : 13 = 40 : ?
  10. 10.8 : 7 = 24 : ?
  11. 11.4 : 14 = 8 : ?
  12. 12.5 : 2 = 45 : ?
  13. 13.Divide ₹550 between Arjun and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.Divide ₹400 between Meera and Rohan in the ratio 3 : 5. How much does Meera get (in ₹)?
  17. 17.2 : 5 = 10 : ?
  18. 18.Divide ₹52 between Manav and Isha in the ratio 3 : 1. How much does Manav get (in ₹)?
  19. 19.Divide ₹378 between Dev and Ananya in the ratio 3 : 4. How much does Dev get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  21. 21.6 : 4 = 36 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.Divide ₹261 between Diya and Ananya in the ratio 1 : 8. How much does Ananya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  26. 26.5 : 7 = 15 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  28. 28.Divide ₹155 between Saanvi and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
  29. 29.Divide ₹481 between Aarav and Sneha in the ratio 8 : 5. How much does Aarav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  32. 32.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  34. 34.Divide ₹45 between Rahul and Priya in the ratio 2 : 1. How much does Priya get (in ₹)?
  35. 35.7 : 15 = 63 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  38. 38.Divide ₹224 between Diya and Ishaan in the ratio 7 : 1. How much does Diya get (in ₹)?
  39. 39.8 : 2 = 64 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?

Answer key

  1. 150
  2. 100
  3. 72
  4. 10
  5. 81
  6. 60
  7. 82
  8. 12
  9. 52
  10. 21
  11. 28
  12. 18
  13. 250
  14. 4
  15. 144
  16. 150
  17. 25
  18. 39
  19. 162
  20. 9
  21. 24
  22. 24
  23. 72
  24. 232
  25. 27
  26. 21
  27. 35
  28. 124
  29. 296
  30. 18
  31. 72
  32. 75
  33. 4
  34. 15
  35. 135
  36. 32
  37. 81
  38. 196
  39. 16
  40. 45

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