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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 639 · 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 16 (that is, 4 : 16 = 16 : ?).
  3. 3.3 : 8 = 21 : ?
  4. 4.5 : 13 = 10 : ?
  5. 5.6 : 14 = 54 : ?
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.10 : 4 = 30 : ?
  8. 8.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  9. 9.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  10. 10.11 : 13 = 22 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  13. 13.Divide ₹25 between Nisha and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  14. 14.Divide ₹162 between Nisha and Priya in the ratio 5 : 1. How much does Nisha get (in ₹)?
  15. 15.Divide ₹748 between Rahul and Karan in the ratio 8 : 9. How much does Rahul get (in ₹)?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.Divide ₹583 between Kabir and Meera in the ratio 9 : 2. How much does Kabir get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  19. 19.2 : 15 = 4 : ?
  20. 20.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  22. 22.Divide ₹154 between Zoya and Pooja in the ratio 9 : 2. How much does Zoya get (in ₹)?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.12 : 15 = 96 : ?
  25. 25.12 : 5 = 48 : ?
  26. 26.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  27. 27.Divide ₹184 between Aditya and Aarav in the ratio 3 : 1. How much does Aarav get (in ₹)?
  28. 28.3 : 14 = 9 : ?
  29. 29.Divide ₹270 between Meera and Diya in the ratio 5 : 4. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  32. 32.Divide ₹189 between Nisha and Rahul in the ratio 4 : 5. How much does Rahul get (in ₹)?
  33. 33.7 : 11 = 42 : ?
  34. 34.Divide ₹105 between Aarav and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.Divide ₹360 between Aarav and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.Divide ₹90 between Aarav and Isha in the ratio 2 : 3. How much does Isha get (in ₹)?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 150
  2. 64
  3. 56
  4. 26
  5. 126
  6. 80
  7. 12
  8. 36
  9. 54
  10. 26
  11. 6
  12. 9
  13. 10
  14. 135
  15. 352
  16. 100
  17. 477
  18. 5
  19. 30
  20. 200
  21. 8
  22. 126
  23. 18
  24. 120
  25. 20
  26. 8
  27. 46
  28. 42
  29. 150
  30. 225
  31. 4
  32. 105
  33. 66
  34. 63
  35. 24
  36. 210
  37. 50
  38. 28
  39. 54
  40. 175

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