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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 826 · 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 ₹81 between Arjun and Nisha in the ratio 5 : 4. How much does Nisha get (in ₹)?
  2. 2.7 : 13 = 28 : ?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  7. 7.10 : 12 = 20 : ?
  8. 8.Divide ₹342 between Arjun and Farhan in the ratio 5 : 4. How much does Arjun get (in ₹)?
  9. 9.Divide ₹99 between Aarav and Kavya in the ratio 8 : 1. How much does Kavya get (in ₹)?
  10. 10.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  12. 12.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  13. 13.2 : 7 = 8 : ?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.Divide ₹256 between Diya and Ananya in the ratio 7 : 9. How much does Diya get (in ₹)?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?
  18. 18.Divide ₹91 between Priya and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  19. 19.Divide ₹18 between Rohan and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  25. 25.Divide ₹312 between Diya and Farhan in the ratio 9 : 4. How much does Farhan get (in ₹)?
  26. 26.5 : 2 = 40 : ?
  27. 27.12 : 6 = 60 : ?
  28. 28.2 : 6 = 8 : ?
  29. 29.4 : 7 = 20 : ?
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  32. 32.Divide ₹32 between Manav and Isha in the ratio 3 : 1. How much does Isha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  34. 34.2 : 9 = 4 : ?
  35. 35.Divide ₹360 between Aditya and Diya in the ratio 3 : 5. How much does Diya get (in ₹)?
  36. 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  37. 37.Divide ₹174 between Rohan and Arjun in the ratio 2 : 1. How much does Rohan get (in ₹)?
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  40. 40.4 : 11 = 36 : ?

Answer key

  1. 36
  2. 52
  3. 12
  4. 125
  5. 45
  6. 4
  7. 24
  8. 190
  9. 11
  10. 16
  11. 64
  12. 9
  13. 28
  14. 100
  15. 112
  16. 8
  17. 90
  18. 39
  19. 12
  20. 81
  21. 75
  22. 9
  23. 6
  24. 14
  25. 96
  26. 16
  27. 30
  28. 24
  29. 35
  30. 175
  31. 8
  32. 8
  33. 30
  34. 18
  35. 225
  36. 50
  37. 116
  38. 24
  39. 150
  40. 99

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