In a certain area 40 percent inhabitants were females and 45 percent were tea drunkers. If the percentage of male tea drunkers was 20, then percentage of female non tea drunkers will be

12
15
16
18

The correct answer is (c) 16.

Let $x$ be the total number of inhabitants in the area. Then the number of female inhabitants is $0.4x$ and the number of male inhabitants is $0.6x$. The number of tea drinkers is $0.45x$, of which $0.2x$ are male. Therefore, the number of female tea drinkers is $0.25x$. The number of female non-tea drinkers is $0.4x – 0.25x = 0.15x$. This is equal to 16% of the total number of inhabitants.

Option (a) is incorrect because it is the percentage of male non-tea drinkers, not female non-tea drinkers. Option (b) is incorrect because it is the percentage of female tea drinkers, not female non-tea drinkers. Option (d) is incorrect because it is the percentage of male tea drinkers, not female non-tea drinkers.

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