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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 924 · 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 ₹799 between Pooja and Dev in the ratio 8 : 9. How much does Dev get (in ₹)?
  2. 2.Divide ₹260 between Priya and Farhan in the ratio 7 : 3. How much does Priya get (in ₹)?
  3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.3 : 15 = 12 : ?
  7. 7.11 : 8 = 22 : ?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.Divide ₹60 between Diya and Farhan in the ratio 9 : 1. How much does Diya get (in ₹)?
  10. 10.Divide ₹832 between Ishaan and Nisha in the ratio 7 : 9. How much does Ishaan get (in ₹)?
  11. 11.4 : 5 = 16 : ?
  12. 12.Divide ₹580 between Rohan and Farhan in the ratio 7 : 3. How much does Farhan get (in ₹)?
  13. 13.Divide ₹570 between Priya and Zoya in the ratio 7 : 3. How much does Priya get (in ₹)?
  14. 14.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  16. 16.11 : 2 = 33 : ?
  17. 17.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  20. 20.4 : 5 = 32 : ?
  21. 21.10 : 13 = 60 : ?
  22. 22.10 : 11 = 90 : ?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  26. 26.8 : 5 = 64 : ?
  27. 27.Divide ₹368 between Arjun and Priya in the ratio 7 : 9. How much does Priya get (in ₹)?
  28. 28.Divide ₹506 between Aarav and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  29. 29.Divide ₹105 between Saanvi and Aarav in the ratio 5 : 2. How much does Saanvi get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.2 : 4 = 4 : ?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  37. 37.7 : 3 = 49 : ?
  38. 38.12 : 3 = 24 : ?
  39. 39.12 : 10 = 72 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?

Answer key

  1. 423
  2. 182
  3. 75
  4. 12
  5. 100
  6. 60
  7. 16
  8. 80
  9. 54
  10. 364
  11. 20
  12. 174
  13. 399
  14. 175
  15. 54
  16. 6
  17. 4
  18. 24
  19. 3
  20. 40
  21. 78
  22. 99
  23. 45
  24. 16
  25. 10
  26. 40
  27. 207
  28. 138
  29. 75
  30. 42
  31. 225
  32. 48
  33. 8
  34. 36
  35. 20
  36. 56
  37. 21
  38. 6
  39. 60
  40. 7

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