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Question

The mean age of a combined group of men and women is $$25$$ yrs. If mean age of men is $$26$$ and that of women is $$21 ,$$ then percentage of men and women in the group. is:


A
60,40
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B
80,20
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C
20,80
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D
30,70
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Solution

The correct option is C $$80,20$$
Let there be $$x\%$$ of men.

Mean $$ = \dfrac{26x + 21(100-x)}{100} = 25$$

$$ 26x - 21x + 2100 = 2500 $$

$$ 5x = 400 \Rightarrow x = 80$$

Hence there are $$80\%$$ of men and 

$$20\%$$ of women in the group.

Mathematics

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