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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 659 · 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 9 and 45 (that is, 9 : 45 = 45 : ?).
  2. 2.11 : 14 = 66 : ?
  3. 3.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  4. 4.Divide ₹590 between Aditya and Kabir in the ratio 9 : 1. How much does Aditya get (in ₹)?
  5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  6. 6.Divide ₹637 between Diya and Farhan in the ratio 4 : 9. How much does Diya get (in ₹)?
  7. 7.Divide ₹153 between Rahul and Saanvi in the ratio 2 : 7. How much does Rahul get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  10. 10.8 : 7 = 40 : ?
  11. 11.2 : 15 = 6 : ?
  12. 12.Divide ₹240 between Sneha and Arjun in the ratio 1 : 7. How much does Arjun get (in ₹)?
  13. 13.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  14. 14.Divide ₹204 between Rohan and Sneha in the ratio 5 : 7. How much does Rohan get (in ₹)?
  15. 15.9 : 7 = 27 : ?
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  19. 19.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  20. 20.Divide ₹232 between Dev and Manav in the ratio 3 : 1. How much does Dev get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  22. 22.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  24. 24.8 : 3 = 32 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  31. 31.2 : 12 = 18 : ?
  32. 32.10 : 12 = 80 : ?
  33. 33.Divide ₹440 between Rahul and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
  34. 34.Divide ₹720 between Pooja and Ishaan in the ratio 7 : 5. How much does Pooja get (in ₹)?
  35. 35.Divide ₹56 between Aarav and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  36. 36.Divide ₹705 between Sneha and Pooja in the ratio 8 : 7. How much does Pooja get (in ₹)?
  37. 37.Divide ₹56 between Rahul and Isha in the ratio 3 : 5. How much does Rahul get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  40. 40.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).

Answer key

  1. 225
  2. 84
  3. 32
  4. 531
  5. 50
  6. 196
  7. 34
  8. 12
  9. 60
  10. 35
  11. 45
  12. 210
  13. 81
  14. 85
  15. 21
  16. 24
  17. 56
  18. 16
  19. 125
  20. 174
  21. 28
  22. 63
  23. 25
  24. 12
  25. 21
  26. 32
  27. 72
  28. 10
  29. 100
  30. 81
  31. 108
  32. 96
  33. 200
  34. 420
  35. 8
  36. 329
  37. 21
  38. 25
  39. 45
  40. 27

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