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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 657 · 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.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  3. 3.7 : 4 = 63 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  6. 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  9. 9.12 : 13 = 96 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  11. 11.3 : 11 = 27 : ?
  12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  13. 13.3 : 14 = 6 : ?
  14. 14.7 : 10 = 63 : ?
  15. 15.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  17. 17.Divide ₹80 between Farhan and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  18. 18.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  19. 19.11 : 15 = 66 : ?
  20. 20.Divide ₹55 between Rohan and Ishaan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  21. 21.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  23. 23.Divide ₹119 between Tara and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
  24. 24.Divide ₹96 between Ishaan and Zoya in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  25. 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.5 : 2 = 15 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  31. 31.Divide ₹590 between Saanvi and Kavya in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  32. 32.5 : 6 = 35 : ?
  33. 33.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  34. 34.Divide ₹658 between Kavya and Tara in the ratio 5 : 9. How much does Tara get (in ₹)?
  35. 35.10 : 9 = 20 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  37. 37.4 : 3 = 36 : ?
  38. 38.Divide ₹105 between Zoya and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  39. 39.12 : 4 = 108 : ?
  40. 40.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?

Answer key

  1. 75
  2. 25
  3. 36
  4. 54
  5. 18
  6. 27
  7. 200
  8. 64
  9. 104
  10. 21
  11. 99
  12. 36
  13. 28
  14. 90
  15. 24
  16. 12
  17. 48
  18. 20
  19. 90
  20. 15
  21. 112
  22. 30
  23. 51
  24. 24
  25. 16
  26. 54
  27. 6
  28. 48
  29. 48
  30. 50
  31. 531
  32. 42
  33. 12
  34. 423
  35. 18
  36. 6
  37. 27
  38. 56
  39. 36
  40. 42

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