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Question

The average age of a group of men and women is $$30$$ years. If average age of men is $$32$$ and that of women is $$27$$, then the percentage of women in the group is


A
60
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B
50
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C
40
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D
30
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Solution

The correct option is C $$40$$
Let total number of men and women in the group be $$100$$. Out of which $$n_1$$ are women and $$100-n_1$$ are men.
Given average age of group is $$30$$.
$$\Rightarrow \cfrac{32(100-n_1)+27n_1}{100}=30\therefore n_1 = 40$$
Hence percentage of women in the group is $$40$$.

Mathematics

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