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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 691 · 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 ₹390 between Rohan and Karan in the ratio 8 : 7. How much does Karan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  3. 3.5 : 8 = 30 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  8. 8.Divide ₹407 between Farhan and Priya in the ratio 7 : 4. How much does Farhan get (in ₹)?
  9. 9.Divide ₹442 between Tara and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.Divide ₹171 between Diya and Aditya in the ratio 2 : 1. How much does Diya get (in ₹)?
  12. 12.Divide ₹756 between Ananya and Aditya in the ratio 9 : 5. How much does Ananya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.8 : 4 = 24 : ?
  16. 16.Divide ₹35 between Manav and Dev in the ratio 4 : 1. How much does Manav get (in ₹)?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.Divide ₹77 between Ishaan and Zoya in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  19. 19.6 : 2 = 30 : ?
  20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.4 : 10 = 8 : ?
  23. 23.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  24. 24.3 : 15 = 15 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  26. 26.Divide ₹270 between Ishaan and Rohan in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹638 between Zoya and Aarav in the ratio 4 : 7. How much does Zoya get (in ₹)?
  28. 28.7 : 10 = 14 : ?
  29. 29.3 : 13 = 12 : ?
  30. 30.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  32. 32.Divide ₹44 between Farhan and Kabir in the ratio 1 : 3. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  36. 36.Divide ₹238 between Rahul and Kabir in the ratio 1 : 6. How much does Rahul get (in ₹)?
  37. 37.Divide ₹196 between Dev and Kavya in the ratio 5 : 9. How much does Kavya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?

Answer key

  1. 182
  2. 7
  3. 48
  4. 42
  5. 27
  6. 56
  7. 24
  8. 259
  9. 306
  10. 16
  11. 114
  12. 486
  13. 6
  14. 225
  15. 12
  16. 28
  17. 200
  18. 66
  19. 10
  20. 80
  21. 64
  22. 20
  23. 36
  24. 75
  25. 24
  26. 60
  27. 232
  28. 20
  29. 52
  30. 12
  31. 27
  32. 11
  33. 36
  34. 8
  35. 75
  36. 34
  37. 126
  38. 2
  39. 24
  40. 6

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