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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 891 · 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. 1.12 : 9 = 72 : ?
  2. 2.4 : 12 = 36 : ?
  3. 3.11 : 2 = 77 : ?
  4. 4.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  8. 8.12 : 9 = 108 : ?
  9. 9.Divide ₹484 between Nisha and Rahul in the ratio 8 : 3. How much does Nisha get (in ₹)?
  10. 10.Divide ₹440 between Aarav and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  11. 11.2 : 15 = 6 : ?
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.Divide ₹84 between Nisha and Ananya in the ratio 1 : 6. How much does Nisha get (in ₹)?
  14. 14.Divide ₹99 between Farhan and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  15. 15.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  16. 16.Divide ₹266 between Arjun and Saanvi in the ratio 5 : 9. How much does Arjun get (in ₹)?
  17. 17.3 : 7 = 18 : ?
  18. 18.8 : 15 = 24 : ?
  19. 19.Divide ₹374 between Ananya and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  20. 20.9 : 15 = 81 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 9. There are 35 boys. How many girls are there?
  22. 22.Divide ₹390 between Priya and Ishaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹660 between Dev and Pooja in the ratio 2 : 9. How much does Pooja get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Divide ₹91 between Meera and Saanvi in the ratio 1 : 6. How much does Meera get (in ₹)?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  30. 30.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  31. 31.Divide ₹174 between Pooja and Dev in the ratio 5 : 1. How much does Dev get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  34. 34.Divide ₹95 between Pooja and Meera in the ratio 4 : 1. How much does Pooja get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  36. 36.6 : 7 = 48 : ?
  37. 37.12 : 5 = 108 : ?
  38. 38.Divide ₹308 between Tara and Pooja in the ratio 1 : 6. How much does Tara get (in ₹)?
  39. 39.Divide ₹138 between Diya and Farhan in the ratio 1 : 2. How much does Diya get (in ₹)?
  40. 40.11 : 15 = 33 : ?

Answer key

  1. 54
  2. 108
  3. 14
  4. 80
  5. 10
  6. 100
  7. 12
  8. 81
  9. 352
  10. 80
  11. 45
  12. 27
  13. 12
  14. 45
  15. 80
  16. 95
  17. 42
  18. 45
  19. 170
  20. 135
  21. 63
  22. 150
  23. 540
  24. 14
  25. 32
  26. 13
  27. 16
  28. 18
  29. 225
  30. 45
  31. 29
  32. 72
  33. 56
  34. 76
  35. 4
  36. 56
  37. 45
  38. 44
  39. 46
  40. 45

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