Question:medium
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 becomes 26%. The quantity of whisky replaced is:
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 becomes 26%. The quantity of whisky replaced is:
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For “replacement” problems, keep total volume constant and track the quantity of solute: new amount $=$ old amount $-$ removed $+$ added.
Updated On: Jul 16, 2026
- $\dfrac{4}{3}$
- $\dfrac{3}{4}$
- $\dfrac{3}{2}$
$\dfrac{2}{3}$
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The Correct Option is D
Solution and Explanation
Step 1: By alligation, \[ \frac{x}{1-x}=\frac{40-26}{26-19}=\frac{14}{7}=2 \]
Step 2: Solve for \(x\): \[ x=2(1-x)\;\Rightarrow\;3x=2 \]
Step 3: \[ x=\boxed{\dfrac23} \]
Step 2: Solve for \(x\): \[ x=2(1-x)\;\Rightarrow\;3x=2 \]
Step 3: \[ x=\boxed{\dfrac23} \]
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