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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 466 · 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 7 and 28 (that is, 7 : 28 = 28 : ?).
  2. 2.Divide ₹54 between Ananya and Vivaan in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  3. 3.Divide ₹69 between Saanvi and Pooja in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  4. 4.2 : 4 = 16 : ?
  5. 5.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  6. 6.8 : 13 = 56 : ?
  7. 7.2 : 4 = 12 : ?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.11 : 6 = 66 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.7 : 13 = 35 : ?
  14. 14.Divide ₹385 between Manav and Meera in the ratio 4 : 7. How much does Manav get (in ₹)?
  15. 15.4 : 12 = 16 : ?
  16. 16.6 : 11 = 24 : ?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.7 : 14 = 42 : ?
  20. 20.11 : 10 = 88 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  22. 22.8 : 12 = 24 : ?
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  25. 25.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  26. 26.2 : 13 = 18 : ?
  27. 27.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  28. 28.Divide ₹864 between Ishaan and Zoya in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  29. 29.9 : 13 = 18 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  32. 32.11 : 4 = 55 : ?
  33. 33.Divide ₹296 between Meera and Aditya in the ratio 1 : 7. How much does Meera get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  36. 36.Divide ₹288 between Rohan and Pooja in the ratio 1 : 8. How much does Pooja get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  38. 38.Divide ₹450 between Kavya and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  39. 39.12 : 10 = 60 : ?
  40. 40.10 : 4 = 80 : ?

Answer key

  1. 112
  2. 42
  3. 46
  4. 32
  5. 27
  6. 91
  7. 24
  8. 16
  9. 54
  10. 36
  11. 36
  12. 8
  13. 65
  14. 140
  15. 48
  16. 44
  17. 14
  18. 27
  19. 84
  20. 80
  21. 2
  22. 36
  23. 28
  24. 18
  25. 125
  26. 117
  27. 3
  28. 486
  29. 26
  30. 63
  31. 14
  32. 20
  33. 37
  34. 28
  35. 27
  36. 256
  37. 35
  38. 315
  39. 50
  40. 32

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