Question

Below given is the distribution of 2400 residents in terms of percentage.

	Adult Male	Adult Female	Child
$\%$ Living in Uptown	$9$	$8$	$6$
$\%$ Living in Midtown	$22$	$20$	$15$
$\%$ Living in Downtown	$21$	$22$	$12$
$\%$ Living in Suburbs	$48$	$50$	$67$

If there are an equal number of adults and children, and adult females outnumber adult males by $200$, what is the sum of the women living uptown and the children living in the suburbs of Centre Hill?

• A. $860$
• B. $850$
• C. $840$
• D. $760$

Answer 1

The correct option is A $860$

$\Rightarrow$ There are $1200$ adults and $1200$ children, since it says that there's an equal amount

$\Rightarrow$ Females outnumber males by $200$, so there are $700$ females and $500$ males.

$\Rightarrow$ Number of females living in uptown of Central Hill $=\frac{8}{100}\times 700=56$

$\Rightarrow$ Number of children living in suburbs of Central Hill $=\frac{67}{100}\times 1200=804$

$\therefore$ The sum of the women living uptown and the children living in suburbs of central hill $=56+804=860$