Company ABC has 60% female employees. Out of the total number of female employees, 40% are post-graduates and out of the total number of male employees, 50% are postgraduates. If the number of male post graduate employee is 128 less than female post graduate employees, what is the total number of employees in the company?

Let the total number of employees in the company ABC be x.

$herefore$ Number of female employees

$frac{{60x}}{{100}} = frac{{3x}}{5}$

Post-graduate female employees

$Rightarrow frac{{40}}{{100}} imes frac{{3x}}{5} = frac{{6x}}{{25}}$

Number of male employees

$= frac{{40x}}{{100}} = frac{{2x}}{5}$

Post-graduate male employees

$Rightarrow frac{{2x}}{5} imes frac{{50}}{{100}} = frac{x}{5}$

According to the question,

$frac{{6x}}{{25}} - frac{x}{5} = 128$

$Rightarrow frac{{6x - 5x}}{{25}} = 128$

$Rightarrow frac{x}{{25}} = 128$

$Rightarrow$ x = 25 × 128 = 3200