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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 240 · 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).

NameDateTime takenScore ___ / 40
  1. 1.7 : 9 = 56 : ?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  4. 4.8 : 6 = 24 : ?
  5. 5.Divide ₹220 between Priya and Pooja in the ratio 5 : 6. How much does Priya get (in ₹)?
  6. 6.9 : 12 = 72 : ?
  7. 7.Divide ₹88 between Aditya and Karan in the ratio 1 : 7. How much does Aditya get (in ₹)?
  8. 8.12 : 2 = 84 : ?
  9. 9.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  10. 10.Divide ₹656 between Dev and Aditya in the ratio 7 : 9. How much does Dev get (in ₹)?
  11. 11.Divide ₹1020 between Karan and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.8 : 10 = 40 : ?
  14. 14.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  15. 15.2 : 3 = 8 : ?
  16. 16.6 : 14 = 18 : ?
  17. 17.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  18. 18.Divide ₹300 between Vivaan and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  19. 19.8 : 3 = 24 : ?
  20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  23. 23.5 : 11 = 35 : ?
  24. 24.2 : 12 = 6 : ?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.7 : 10 = 14 : ?
  27. 27.Divide ₹459 between Isha and Nisha in the ratio 9 : 8. How much does Isha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  30. 30.9 : 12 = 18 : ?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.Divide ₹260 between Ananya and Dev in the ratio 9 : 4. How much does Ananya get (in ₹)?
  34. 34.4 : 10 = 8 : ?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.4 : 11 = 24 : ?
  37. 37.5 : 9 = 35 : ?
  38. 38.6 : 4 = 54 : ?
  39. 39.Divide ₹649 between Sneha and Meera in the ratio 8 : 3. How much does Sneha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?

Answer key

  1. 72
  2. 32
  3. 16
  4. 18
  5. 100
  6. 96
  7. 11
  8. 14
  9. 144
  10. 287
  11. 480
  12. 150
  13. 50
  14. 200
  15. 12
  16. 42
  17. 54
  18. 270
  19. 9
  20. 20
  21. 10
  22. 28
  23. 77
  24. 36
  25. 18
  26. 20
  27. 243
  28. 32
  29. 35
  30. 24
  31. 128
  32. 81
  33. 180
  34. 20
  35. 63
  36. 66
  37. 63
  38. 36
  39. 472
  40. 8

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