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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 23 · 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 ₹180 between Ishaan and Kabir in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  3. 3.Divide ₹228 between Arjun and Rohan in the ratio 7 : 5. How much does Rohan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  8. 8.Divide ₹369 between Nisha and Saanvi in the ratio 1 : 8. How much does Saanvi get (in ₹)?
  9. 9.12 : 10 = 36 : ?
  10. 10.12 : 4 = 60 : ?
  11. 11.5 : 6 = 45 : ?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.Divide ₹56 between Saanvi and Dev in the ratio 7 : 1. How much does Dev get (in ₹)?
  14. 14.6 : 3 = 18 : ?
  15. 15.Divide ₹221 between Karan and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  16. 16.Divide ₹660 between Farhan and Manav in the ratio 8 : 7. How much does Manav get (in ₹)?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.Divide ₹287 between Aditya and Kavya in the ratio 6 : 1. How much does Kavya get (in ₹)?
  19. 19.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  22. 22.Divide ₹245 between Isha and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.11 : 12 = 55 : ?
  25. 25.6 : 5 = 24 : ?
  26. 26.Divide ₹348 between Kabir and Pooja in the ratio 5 : 7. How much does Kabir get (in ₹)?
  27. 27.Divide ₹330 between Kabir and Ananya in the ratio 5 : 1. How much does Kabir get (in ₹)?
  28. 28.4 : 2 = 32 : ?
  29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  32. 32.6 : 10 = 30 : ?
  33. 33.Divide ₹369 between Aarav and Isha in the ratio 2 : 7. How much does Isha get (in ₹)?
  34. 34.Divide ₹245 between Dev and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  35. 35.12 : 5 = 72 : ?
  36. 36.Divide ₹99 between Arjun and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹506 between Farhan and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  38. 38.Divide ₹248 between Zoya and Tara in the ratio 3 : 5. How much does Tara get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  40. 40.3 : 6 = 15 : ?

Answer key

  1. 84
  2. 10
  3. 95
  4. 6
  5. 8
  6. 30
  7. 96
  8. 328
  9. 30
  10. 20
  11. 54
  12. 16
  13. 7
  14. 9
  15. 117
  16. 308
  17. 48
  18. 41
  19. 45
  20. 72
  21. 16
  22. 196
  23. 12
  24. 60
  25. 20
  26. 145
  27. 275
  28. 16
  29. 36
  30. 54
  31. 12
  32. 50
  33. 287
  34. 49
  35. 30
  36. 11
  37. 92
  38. 155
  39. 4
  40. 30

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