question_answer

A butler stole wine from a butt of sherry which contained 30% of spirit and replaced, what he had stolen by wine containing 12% only of spirit. If the butt was then of 18% strength, the portion of the butt he stole was:

A) \[\frac{1}{3}\]                          

B) \[\frac{2}{3}\]  

C) \[\frac{1}{6}\]              

D)        \[\frac{2}{5}\]

Correct Answer: B

Solution :

 By Alligation method:             \[\frac{\text{wine}\,\,\text{containing}\,\,\text{30 }\!\!%\!\!\text{ }\,\,\text{spirit}}{\text{wine}\,\,\text{containing}\,\,\text{12 }\!\!%\!\!\text{ }\,\,\text{spirit}}\] \[\text{=}\frac{6}{12}=\frac{1}{2}\] \[\therefore \]Wine containing \[12%\] of spirit\[=\frac{2}{3}\] of the butt \[\therefore \]\[\frac{2}{3}\]of the but was stolen.