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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 885 · 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.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Divide ₹80 between Aditya and Ananya in the ratio 7 : 3. How much does Aditya get (in ₹)?
  4. 4.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  5. 5.10 : 2 = 80 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  10. 10.2 : 3 = 10 : ?
  11. 11.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  12. 12.Divide ₹343 between Karan and Vivaan in the ratio 2 : 5. How much does Karan get (in ₹)?
  13. 13.7 : 10 = 49 : ?
  14. 14.Divide ₹225 between Kavya and Karan in the ratio 2 : 3. How much does Kavya get (in ₹)?
  15. 15.Divide ₹65 between Rohan and Ananya in the ratio 2 : 3. How much does Rohan get (in ₹)?
  16. 16.10 : 3 = 40 : ?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.Divide ₹208 between Priya and Kabir in the ratio 5 : 3. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  20. 20.Divide ₹432 between Aarav and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  21. 21.10 : 5 = 70 : ?
  22. 22.3 : 13 = 15 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  26. 26.9 : 13 = 54 : ?
  27. 27.7 : 4 = 49 : ?
  28. 28.8 : 3 = 72 : ?
  29. 29.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  30. 30.10 : 2 = 50 : ?
  31. 31.Divide ₹35 between Manav and Diya in the ratio 2 : 3. How much does Diya get (in ₹)?
  32. 32.Divide ₹176 between Dev and Ananya in the ratio 6 : 5. How much does Ananya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  34. 34.12 : 15 = 60 : ?
  35. 35.7 : 8 = 56 : ?
  36. 36.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  37. 37.10 : 2 = 90 : ?
  38. 38.Divide ₹507 between Aarav and Zoya in the ratio 7 : 6. How much does Aarav get (in ₹)?
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.7 : 3 = 42 : ?

Answer key

  1. 35
  2. 20
  3. 56
  4. 24
  5. 16
  6. 4
  7. 32
  8. 27
  9. 54
  10. 15
  11. 75
  12. 98
  13. 70
  14. 90
  15. 26
  16. 12
  17. 16
  18. 130
  19. 50
  20. 48
  21. 35
  22. 65
  23. 4
  24. 36
  25. 8
  26. 78
  27. 28
  28. 27
  29. 7
  30. 10
  31. 21
  32. 80
  33. 27
  34. 75
  35. 64
  36. 80
  37. 18
  38. 273
  39. 32
  40. 18

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