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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 640 · 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.Divide ₹480 between Ishaan and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
  2. 2.Divide ₹209 between Kavya and Ananya in the ratio 5 : 6. How much does Kavya get (in ₹)?
  3. 3.Divide ₹340 between Priya and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  4. 4.12 : 2 = 84 : ?
  5. 5.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  6. 6.Divide ₹306 between Priya and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  7. 7.7 : 8 = 35 : ?
  8. 8.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  11. 11.Divide ₹328 between Zoya and Rahul in the ratio 5 : 3. How much does Zoya get (in ₹)?
  12. 12.Divide ₹506 between Zoya and Isha in the ratio 4 : 7. How much does Zoya get (in ₹)?
  13. 13.2 : 12 = 14 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.11 : 15 = 44 : ?
  17. 17.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  18. 18.10 : 7 = 70 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  20. 20.Divide ₹203 between Meera and Saanvi in the ratio 2 : 5. How much does Meera get (in ₹)?
  21. 21.11 : 14 = 99 : ?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.12 : 14 = 60 : ?
  25. 25.10 : 14 = 60 : ?
  26. 26.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  27. 27.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  32. 32.12 : 2 = 36 : ?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  35. 35.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  36. 36.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  37. 37.4 : 12 = 16 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  39. 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  40. 40.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?

Answer key

  1. 60
  2. 95
  3. 306
  4. 14
  5. 150
  6. 51
  7. 40
  8. 20
  9. 20
  10. 16
  11. 205
  12. 184
  13. 84
  14. 18
  15. 28
  16. 60
  17. 20
  18. 49
  19. 12
  20. 58
  21. 126
  22. 112
  23. 32
  24. 70
  25. 84
  26. 27
  27. 200
  28. 8
  29. 36
  30. 8
  31. 10
  32. 6
  33. 54
  34. 63
  35. 225
  36. 15
  37. 48
  38. 27
  39. 8
  40. 8

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