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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 354 · 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.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  2. 2.10 : 4 = 40 : ?
  3. 3.4 : 3 = 24 : ?
  4. 4.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  7. 7.Divide ₹189 between Aditya and Zoya in the ratio 4 : 5. How much does Zoya get (in ₹)?
  8. 8.3 : 10 = 21 : ?
  9. 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  12. 12.5 : 14 = 40 : ?
  13. 13.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  14. 14.Divide ₹210 between Meera and Manav in the ratio 4 : 3. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Divide ₹354 between Saanvi and Meera in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  20. 20.5 : 15 = 45 : ?
  21. 21.4 : 14 = 12 : ?
  22. 22.Divide ₹476 between Vivaan and Ishaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  24. 24.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  25. 25.12 : 11 = 96 : ?
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.Divide ₹253 between Saanvi and Farhan in the ratio 3 : 8. How much does Saanvi get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  31. 31.3 : 13 = 24 : ?
  32. 32.Divide ₹168 between Ananya and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  34. 34.Divide ₹546 between Vivaan and Saanvi in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  35. 35.12 : 2 = 84 : ?
  36. 36.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  37. 37.Divide ₹242 between Priya and Aditya in the ratio 8 : 3. How much does Aditya get (in ₹)?
  38. 38.Divide ₹42 between Arjun and Kabir in the ratio 1 : 5. How much does Kabir get (in ₹)?
  39. 39.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 3
  2. 16
  3. 18
  4. 20
  5. 54
  6. 18
  7. 105
  8. 70
  9. 50
  10. 81
  11. 36
  12. 112
  13. 175
  14. 120
  15. 28
  16. 80
  17. 5
  18. 96
  19. 295
  20. 135
  21. 42
  22. 170
  23. 200
  24. 80
  25. 88
  26. 81
  27. 69
  28. 45
  29. 21
  30. 225
  31. 104
  32. 70
  33. 72
  34. 294
  35. 14
  36. 18
  37. 66
  38. 35
  39. 63
  40. 8

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