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Aptitude · Q329

Ratio

Competitive Exams · Aptitude · question 329

Q329

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?

A.
80%
Answer
B.
78%
C.
87.5%
D.
85%

Answer: Option A

Solution

Answer: Option A
Solution:
\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 ×  = 350
Regular male employees = 250 × 92%
= 250 × = 230
∴ Regular female employees = 350 - 230 = 120
∴ % of regular female employees = × 100% = 80%