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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 595 · 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. 1.11 : 14 = 55 : ?
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  5. 5.Divide ₹228 between Meera and Kavya in the ratio 5 : 7. How much does Meera get (in ₹)?
  6. 6.11 : 12 = 22 : ?
  7. 7.Divide ₹294 between Kabir and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  9. 9.3 : 13 = 9 : ?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.Divide ₹342 between Arjun and Saanvi in the ratio 8 : 1. How much does Arjun get (in ₹)?
  12. 12.3 : 5 = 9 : ?
  13. 13.4 : 7 = 12 : ?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.Divide ₹55 between Kavya and Sneha in the ratio 4 : 1. How much does Kavya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  21. 21.Divide ₹200 between Kabir and Aarav in the ratio 1 : 9. How much does Kabir get (in ₹)?
  22. 22.3 : 12 = 6 : ?
  23. 23.Divide ₹264 between Vivaan and Pooja in the ratio 8 : 3. How much does Pooja get (in ₹)?
  24. 24.5 : 15 = 40 : ?
  25. 25.2 : 12 = 6 : ?
  26. 26.10 : 12 = 50 : ?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
  30. 30.8 : 7 = 24 : ?
  31. 31.7 : 14 = 56 : ?
  32. 32.Divide ₹42 between Arjun and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  33. 33.4 : 10 = 36 : ?
  34. 34.5 : 6 = 10 : ?
  35. 35.Divide ₹260 between Ishaan and Zoya in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  36. 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  37. 37.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  38. 38.Divide ₹204 between Meera and Rahul in the ratio 3 : 1. How much does Meera get (in ₹)?
  39. 39.2 : 15 = 14 : ?
  40. 40.Divide ₹140 between Kavya and Aarav in the ratio 3 : 1. How much does Kavya get (in ₹)?

Answer key

  1. 70
  2. 72
  3. 25
  4. 36
  5. 95
  6. 24
  7. 84
  8. 7
  9. 39
  10. 48
  11. 304
  12. 15
  13. 21
  14. 64
  15. 44
  16. 18
  17. 2
  18. 27
  19. 12
  20. 80
  21. 20
  22. 24
  23. 72
  24. 120
  25. 36
  26. 60
  27. 63
  28. 8
  29. 15
  30. 21
  31. 112
  32. 24
  33. 90
  34. 12
  35. 26
  36. 50
  37. 56
  38. 153
  39. 105
  40. 105

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