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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 725 · 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 2 and 4 (that is, 2 : 4 = 4 : ?).
  2. 2.3 : 2 = 24 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.Divide ₹108 between Dev and Aarav in the ratio 1 : 5. How much does Dev get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  9. 9.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  10. 10.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  12. 12.Divide ₹54 between Karan and Zoya in the ratio 2 : 1. How much does Karan get (in ₹)?
  13. 13.2 : 13 = 4 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.Divide ₹816 between Ishaan and Rahul in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  17. 17.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  18. 18.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  19. 19.Divide ₹138 between Kabir and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  21. 21.3 : 12 = 6 : ?
  22. 22.Divide ₹440 between Saanvi and Dev in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  23. 23.4 : 2 = 12 : ?
  24. 24.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.4 : 3 = 32 : ?
  27. 27.7 : 8 = 63 : ?
  28. 28.Divide ₹352 between Diya and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  30. 30.10 : 13 = 50 : ?
  31. 31.4 : 9 = 12 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  34. 34.Divide ₹212 between Rohan and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  37. 37.4 : 2 = 32 : ?
  38. 38.Divide ₹320 between Kabir and Meera in the ratio 7 : 9. How much does Meera get (in ₹)?
  39. 39.Divide ₹136 between Aarav and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
  40. 40.Divide ₹476 between Tara and Kavya in the ratio 5 : 9. How much does Kavya get (in ₹)?

Answer key

  1. 8
  2. 16
  3. 21
  4. 150
  5. 200
  6. 18
  7. 5
  8. 45
  9. 112
  10. 32
  11. 24
  12. 36
  13. 26
  14. 24
  15. 75
  16. 432
  17. 63
  18. 125
  19. 46
  20. 28
  21. 24
  22. 55
  23. 6
  24. 14
  25. 27
  26. 24
  27. 72
  28. 64
  29. 50
  30. 65
  31. 27
  32. 32
  33. 6
  34. 159
  35. 63
  36. 16
  37. 16
  38. 180
  39. 119
  40. 306

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