A bartender removed from a bottle a certain quantity of a drink which had 25 % ALCOHOL CONTENT and replaced the same quantity with another drink that had an alcohol content of 10%. The alcohol content in the drink after replacement is 20 % What the quantity of the drink that he replaced if there was 1 Litres of the drink in the bottle  Choose the correct choice from the following: A) 1/2 B) 1/3 C) 2/3 D) 3/5 E) 5/8
1 litre of drink = 1000 milliliters   Let x be the quantity taken out   We now have 1000 - x quantity of liquid =&gt; there is 0.25(1000-x) quantity of alcohol. --- (1)   Now, we add x amount of alcohol from a 10% concentrate. It means 0.1x alcohol is added ---(2)   Since it says final alcohol content in 1 litre of drink is 20% or 200 milli litre   from (1) and (2) above -   (1000-x)0.25 + 0.1x = 200   Solving for x, we get 333.33 ml or 1/3 of a litre   ANSWER:1/3
<result>B</result>
A bartender removed from a bottle a certain quantity of a drink which had 25 % ALCOHOL CONTENT and replaced the same quantity with another drink that had an alcohol content of 10%. The alcohol content in the drink after replacement is 20 % What the quantity of the drink that he replaced if there was 1 Litres of the drink in the bottle