In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5 : 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?

Solution(By Examveda Team)

\[\begin{array}{*{20}{c}} {{\text{Male}}}&{}&{{\text{Female}}}&{}&{} \\ \begin{gathered} 5 \hfill \\ \,\,\,\,\,\,\,{ \downarrow ^{ \times 50}} \hfill \\ 250 \hfill \\ \end{gathered} &\begin{gathered} : \hfill \\ \hfill \\ \hfill \\ \end{gathered} &\begin{gathered} 3 \hfill \\ \,\,\,\,\,\,\,{ \downarrow ^{ \times 50}} \hfill \\ 150 \hfill \\ \end{gathered} &\begin{gathered} \to \hfill \\ \hfill \\ \hfill \\ \end{gathered} &\begin{gathered} 8 - 400 \hfill \\ 1 - 50 \hfill \\ \hfill \\ \end{gathered} \end{array}\]
Total regular employees = 400 × 87.5%
= 400 × $$\frac{{875}}{{100 \times 10}}$$  = 350
Regular male employees = 250 × 92%
= 250 × $$\frac{{92}}{{100}}$$ = 230
∴ Regular female employees = 350 - 230 = 120
∴ % of regular female employees = $$\frac{{120}}{{150}}$$ × 100% = 80%