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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 963 · 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 ₹42 between Farhan and Ishaan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  2. 2.3 : 10 = 15 : ?
  3. 3.12 : 4 = 72 : ?
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.Divide ₹322 between Sneha and Diya in the ratio 1 : 6. How much does Sneha get (in ₹)?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  8. 8.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  13. 13.Divide ₹69 between Aditya and Arjun in the ratio 2 : 1. How much does Arjun get (in ₹)?
  14. 14.Divide ₹42 between Tara and Aarav in the ratio 2 : 1. How much does Tara get (in ₹)?
  15. 15.Divide ₹84 between Arjun and Zoya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  20. 20.Divide ₹196 between Isha and Kabir in the ratio 5 : 9. How much does Isha get (in ₹)?
  21. 21.12 : 6 = 96 : ?
  22. 22.11 : 3 = 55 : ?
  23. 23.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
  24. 24.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  25. 25.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  27. 27.10 : 5 = 30 : ?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.Divide ₹204 between Meera and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
  30. 30.5 : 8 = 30 : ?
  31. 31.Divide ₹192 between Kavya and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  33. 33.Divide ₹715 between Ananya and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.12 : 14 = 60 : ?
  36. 36.Divide ₹72 between Kabir and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  37. 37.8 : 11 = 16 : ?
  38. 38.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  39. 39.Divide ₹54 between Kavya and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 28
  2. 50
  3. 24
  4. 36
  5. 46
  6. 12
  7. 112
  8. 72
  9. 24
  10. 8
  11. 9
  12. 20
  13. 23
  14. 28
  15. 24
  16. 18
  17. 75
  18. 3
  19. 80
  20. 70
  21. 48
  22. 15
  23. 45
  24. 72
  25. 18
  26. 30
  27. 15
  28. 96
  29. 51
  30. 48
  31. 144
  32. 10
  33. 385
  34. 24
  35. 70
  36. 64
  37. 22
  38. 40
  39. 12
  40. 32

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