Question

A jar full of whisky contains 40% of alcohol. A part of this whisky is replaced by another containing 19% alcohol and, now the percentage of alcohol was found to be 26. The quantity of whisky replaced is:

• A. $\frac{2}{5}$
• B. $\frac{1}{3}$
  
• C. $\frac{2}{3}$
  
• D. $\frac{3}{5}$

Answer 1

The correct option is C $\frac{2}{3}$


Ratio of alcohol to whiskey in the jar =40:60=2:3.
Ratio of alcohol to whiskey in the new mixture
=26:74=13:37
Now, applying the given alligation method, we have

$\therefore$ Ratio of alcohol to whisky in the replaced mixture
$=\frac{7}{100}:\frac{7}{50}=1:2$
$\therefore$ Quantity of whisky replaced =$\frac{2}{1+2}=\frac{2}{3}.$