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

60

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50

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40

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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 $30$ .
$\Rightarrow \frac{32 (100 - n_{1}) + 27 n_{1}}{100} = 30 ∴ n_{1} = 40$
Hence percentage of women in the group is $40$ .

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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

The correct option is C 40Let total number of men and women in the group be 100. Out of which n1 are women and 100−n1 are men. Given average age of group is 30.⇒32(100−n1)+27n1100=30∴n1=40Hence percentage of women in the group is 40.

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