CAT Quantitative Ability Questions | CAT Set Theory questions

CAT/1995

Question . 26

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 ?

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Method of solving this CAT Quantitative Ability Question from Set Theory question