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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 279 · 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. 1.6 : 5 = 30 : ?
  2. 2.Divide ₹517 between Arjun and Nisha in the ratio 9 : 2. How much does Arjun get (in ₹)?
  3. 3.9 : 2 = 72 : ?
  4. 4.5 : 3 = 30 : ?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  7. 7.Divide ₹504 between Kabir and Farhan in the ratio 1 : 8. How much does Kabir get (in ₹)?
  8. 8.7 : 3 = 21 : ?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.2 : 7 = 4 : ?
  12. 12.12 : 14 = 24 : ?
  13. 13.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  15. 15.Divide ₹155 between Karan and Farhan in the ratio 2 : 3. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  17. 17.Divide ₹105 between Tara and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.Divide ₹273 between Tara and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?
  20. 20.12 : 15 = 108 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.7 : 11 = 49 : ?
  24. 24.Divide ₹76 between Diya and Farhan in the ratio 3 : 1. How much does Farhan get (in ₹)?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.10 : 12 = 20 : ?
  28. 28.Divide ₹77 between Meera and Manav in the ratio 8 : 3. How much does Meera get (in ₹)?
  29. 29.9 : 13 = 63 : ?
  30. 30.2 : 5 = 4 : ?
  31. 31.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  32. 32.12 : 5 = 108 : ?
  33. 33.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.5 : 15 = 25 : ?
  36. 36.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  37. 37.12 : 2 = 108 : ?
  38. 38.5 : 4 = 25 : ?
  39. 39.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?

Answer key

  1. 25
  2. 423
  3. 16
  4. 18
  5. 27
  6. 9
  7. 56
  8. 9
  9. 8
  10. 48
  11. 14
  12. 28
  13. 9
  14. 81
  15. 93
  16. 200
  17. 15
  18. 24
  19. 195
  20. 135
  21. 9
  22. 12
  23. 77
  24. 19
  25. 32
  26. 96
  27. 24
  28. 56
  29. 91
  30. 10
  31. 50
  32. 45
  33. 32
  34. 16
  35. 75
  36. 18
  37. 18
  38. 20
  39. 32
  40. 80

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