Question

In a recent survey $25\%$ houses contained two or more people. Of those houses containing only one person $20\%$ were having only a male. What is percentage of all houses which contain exactly one female and no males?

• A. $55\%$
• B. $65\%$
• C. $60\%$
• D. $50\%$

Answer 1

The correct option is C $60\%$

Let the number of houses $=x$.

$25\%$ of these houses contain more than one person.

$\therefore x\times \frac{75}{100}=\frac{3x}{4}$ houses contain single persons.

$20\%$ of these houses contain only single male.

So, the p.c of single female $=(100-20)\%=80\%$.

$=\frac{80}{100}\times \frac{3x}{4}$

$=\frac{60x}{100}=60$ p.c of $x$

Ans- Option C.