Question

Of the adult population in a certain city , $45\%$ of men and $25\%$ of women are married. Assuming that no man marries more than one women , and vice versa, the percentage of total population of adults who are married is:

• A. $31.1$
• B. $30$
• C. $33.33$
• D. $32.14$

Answer 1

Answer: (D)

$32.14$

Let no of men $=x$ and total population be $100$.
Total women $=(100-x)$
Married man $=\frac{45x}{100}$..........(i)
and married women $=\frac{25}{100}(100-x)$..........(ii)
From (i) and (ii)
$x=\frac{500}{14}$
So, married man $=\frac{225}{14}$
Married woman $\frac{225}{14}$
Total married population $=$ men $+$ women= $\frac{450}{14}$
Required $\%=\frac{450}{14}\%=32.14\%$.