Question

$\frac{7}{12}$ of the passengers in a ship are adults and the rest are children. $\frac{2}{5}$ of the adults are men. The ratio of the number of women to the number of children is

• A. $5:12$
• B. $14:25$
• C. $21:25$
• D. $4:25$

Answer 1

The correct option is C $21:25$

Given, $\frac{7}{12}$ passengers in ship are adult and rest are children.

Then, children passengers $=1-\frac{7}{12}=\frac{5}{12}$
Given, $\frac{2}{5}$ passengers in ship of the adults are men.
Then women passengers =$\frac{7}{12}\times \frac{3}{5}=\frac{7}{20}$
The ratio of the number of women to the number of children =$\frac{\frac{7}{20}}{\frac{5}{12}}=\frac{7}{20}\times \frac{12}{5}=\frac{21}{25}$