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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?
Answer & Solution
Correct Answer:
Option
A
\[\begin{array}{*{20}{c}}
{{\text{Male}}}&{}&{{\text{Female}}}&{}&{} \\
\begin{gathered}
5 \hfill \\
\,\,\,\,\,\,\,{ \downarrow ^{ \times 50}} \hfill \\
250 \hfill \\
\end{gathered} &\begin{gathered}
: \hfill \\
\hfill \\
\hfill \\
\end{gathered} &\begin{gathered}
3 \hfill \\
\,\,\,\,\,\,\,{ \downarrow ^{ \times 50}} \hfill \\
150 \hfill \\
\end{gathered} &\begin{gathered}
\to \hfill \\
\hfill \\
\hfill \\
\end{gathered} &\begin{gathered}
8 - 400 \hfill \\
1 - 50 \hfill \\
\hfill \\
\end{gathered}
\end{array}\]
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%
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%
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