Question:
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Updated On: Sep 23, 2024
- \(\frac{2}{3}\)
- \(\frac{1}{3}\)
- \(\frac{3}{7}\)
- \(\frac{4}{7}\)
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The Correct Option is A
Solution and Explanation
0\(\%\) alcohol solution is mixed with 19\(\%\) alcohol solution to give 26\(\%\) alcohol solution.
\(\frac{w1}{w2}=\frac{(A2-Aavg)}{(Aavg-A1)}\)
\(=\frac{(40-26)}{(26-19)}\)
\(=\frac{14}{7}=\frac{2}{1}\)
So 2 parts of 19\(\%\) solution was mixed with 1 part of 40\(\%\) solution. This means that \(\frac{2}{3}^{rd}\) of the 40\(\%\) solution was replaced by 19\(\%\) solution. So the correct option is (A)
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