Bunuel
Two solutions, A and B, are produced by mixing milk and water in different quantities. The percentages of milk present in solution A and solution B are 60% and 70% respectively. What is the volume of solution A?
(1) The sum of the volume of milk present in solution A and solution B is 50 litres.
(2) The sum of the volume of solution A and solution B is 80 litres.
What we know: The percentage of Milk in A and B
Question: Volume of A = ?What we need: The percentage of Milk in Mixture (to find the ratio of A and B in mixture AND the Volume of B or Mixture)
Statement 1: The sum of the volume of milk present in solution A and solution B is 50 litres.
The percentage of milk in final mixture is unknown hence
NOT SUFFICIENT
Statement 2: The sum of the volume of solution A and solution B is 80 litres
The percentage of milk in final mixture is unknown hence
NOT SUFFICIENT
Combining the statementsFinal Volume = 80
Milk Volume = 50
i.e. Milk Percentage = 62/5%
We have everything we need hence
SUFFICIENTHowever, the calculation is (60/100)*A + (70/100)*(80-A) = 50Answer: Option C