Multiple choice

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

  1. 18 litres

  2. 24 litres

  3. 32 litres

  4. 42 litres

  5. 48 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the quantity of the wine in the cask originally be x litres. Then, the quantity of wine left in the cask after 4 operations = [x(1-8/x)4]litres So, [x(1-8/x)4] /x = 16/81 on solving, x = 24 Therefore, 24 litres is the correct answer.

Keep practicing — related questions