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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 342 · 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).

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  1. 1.Divide ₹342 between Farhan and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  2. 2.11 : 7 = 55 : ?
  3. 3.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  5. 5.4 : 14 = 12 : ?
  6. 6.12 : 11 = 84 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  8. 8.11 : 3 = 88 : ?
  9. 9.Divide ₹81 between Priya and Ananya in the ratio 4 : 5. How much does Priya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  17. 17.Divide ₹351 between Diya and Saanvi in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  18. 18.3 : 6 = 18 : ?
  19. 19.4 : 9 = 12 : ?
  20. 20.Divide ₹546 between Zoya and Rohan in the ratio 5 : 9. How much does Zoya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  24. 24.Divide ₹250 between Aarav and Ishaan in the ratio 2 : 3. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Divide ₹180 between Arjun and Diya in the ratio 1 : 4. How much does Arjun get (in ₹)?
  27. 27.Divide ₹627 between Manav and Pooja in the ratio 9 : 2. How much does Manav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  30. 30.Divide ₹72 between Isha and Diya in the ratio 7 : 5. How much does Diya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  32. 32.Divide ₹208 between Sneha and Diya in the ratio 9 : 4. How much does Sneha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  34. 34.Divide ₹216 between Nisha and Arjun in the ratio 2 : 7. How much does Nisha get (in ₹)?
  35. 35.3 : 8 = 12 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  37. 37.Divide ₹150 between Ananya and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  38. 38.Divide ₹196 between Zoya and Dev in the ratio 1 : 6. How much does Dev get (in ₹)?
  39. 39.10 : 4 = 60 : ?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 38
  2. 35
  3. 32
  4. 27
  5. 42
  6. 77
  7. 6
  8. 24
  9. 36
  10. 42
  11. 12
  12. 8
  13. 70
  14. 150
  15. 175
  16. 20
  17. 273
  18. 36
  19. 27
  20. 195
  21. 63
  22. 54
  23. 20
  24. 100
  25. 48
  26. 36
  27. 513
  28. 3
  29. 9
  30. 30
  31. 10
  32. 144
  33. 2
  34. 48
  35. 32
  36. 4
  37. 60
  38. 168
  39. 24
  40. 32

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