Choose the correct option:
There are three different cable channels namely Ahead, Luck and Bang. In a survey it was found that $85$% of viewers respond to Bang, $20$% to Luck. and $30$% to Ahead. $20$% of viewers respond to exactly two channels and 5% to none. Assuming $20$% respond to Ahead and Bang, and $16$% respond to Bang and Luck, what is the percentage of viewers who watch only Luck?