Initially, an equal number of female and male employees work in the Finance department. The number of employees working in the same department reduces to 40: 19. What is the total number of employees who left their job in the Finance department?

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Solution

The correct option is C 30
By using the given information we can get the following table.
$\begin{matrix} O r g a n i s a t i o n & M a l e & F e m a l e H R & 108 & 272 M a r k e t i n g & 315 & 160 F i n a n c e & 270 & 144 A d m i n i s t r a t i o n & 90 & 224 M a n u f a c t u r i n g & 117 & 0 T o t a l & 900 & 800 \end{matrix}$
Let the number of employees who left the job be $x$
Then, $\frac{270 - x}{144 - x} = \frac{40}{19}$
$270 \times 19 - 19 x = 144 \times 40 - 40 x$
$21 x = 144 \times 40 - 270 \times 19$
$21 x = 5760 - 5130$
$21 x = 630 \Rightarrow x = \frac{630}{21} = 30$

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