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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 808 · 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 4 and 12 (that is, 4 : 12 = 12 : ?).
  2. 2.6 : 11 = 24 : ?
  3. 3.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.Divide ₹189 between Kavya and Ananya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Divide ₹500 between Pooja and Meera in the ratio 9 : 1. How much does Pooja get (in ₹)?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.Divide ₹371 between Saanvi and Zoya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  11. 11.10 : 2 = 40 : ?
  12. 12.Divide ₹663 between Dev and Pooja in the ratio 4 : 9. How much does Pooja get (in ₹)?
  13. 13.12 : 15 = 84 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  15. 15.Divide ₹770 between Priya and Pooja in the ratio 9 : 5. How much does Pooja get (in ₹)?
  16. 16.Divide ₹150 between Ananya and Meera in the ratio 1 : 5. How much does Ananya get (in ₹)?
  17. 17.8 : 10 = 64 : ?
  18. 18.12 : 15 = 96 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  20. 20.2 : 13 = 6 : ?
  21. 21.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.Divide ₹132 between Kabir and Farhan in the ratio 4 : 7. How much does Farhan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  25. 25.Divide ₹90 between Kavya and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  26. 26.10 : 4 = 50 : ?
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  28. 28.Divide ₹310 between Kavya and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  34. 34.Divide ₹288 between Arjun and Kabir in the ratio 1 : 7. How much does Arjun get (in ₹)?
  35. 35.Divide ₹350 between Zoya and Aditya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  36. 36.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  37. 37.6 : 4 = 18 : ?
  38. 38.3 : 2 = 15 : ?
  39. 39.Divide ₹391 between Ananya and Ishaan in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 36
  2. 44
  3. 8
  4. 81
  5. 54
  6. 81
  7. 8
  8. 450
  9. 75
  10. 106
  11. 8
  12. 459
  13. 105
  14. 18
  15. 275
  16. 25
  17. 80
  18. 120
  19. 12
  20. 39
  21. 80
  22. 96
  23. 84
  24. 30
  25. 36
  26. 20
  27. 16
  28. 31
  29. 16
  30. 21
  31. 24
  32. 10
  33. 42
  34. 36
  35. 250
  36. 200
  37. 12
  38. 10
  39. 184
  40. 175

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