A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Select the correct option
A) 7/11
B) 6/7
C) 1/5
D) 2/7
E) None of these
Explanation :   Let, the vessel initially contains 8 litres of liquid.   Let x litres of this liquid be replaced with water then quantity of water in new mixture   =&gt;3−(3x/8)+x litres.   Quantity of syrup in new mixture =5−5x/8 litres.   Therefore,   =&gt;3−(3x/8)+x=5−5x/8.   =&gt;5x+24=40−5x.   =&gt;x=8/5.   So part of the mixture replaced,   =&gt;(8/5)×(1/8)=1/5.   Answer : 1/5
<result>C</result>
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?