Directions: Study the table given below carefully and answer the question that follows.
The table displays the total workforce and the percentage of female employees across four different company branches.
Note: The number of male employees in Branch P is 700, and the total number of female employees in Branches Q and S together is 945.
If the total workforce in Branch T is 2X% less than the total male employees in Branch R, and the total female employees in Branch T is 0.2 times that in Branch Q, then find the number of male employees in Branch T.
Correct Answer :
81
81
Solution :
The correct answer is 81.
Step 1: Find the value of X (Percentage of females in Branch P)
From the table and given note:
Total workforce in Branch P = 800
Male employees in Branch P = 700
Number of female employees in Branch P = Total workforce - Male employees
The percentage of females in Branch P is given as X%:
Thus, .
Step 2: Find the number of female employees in Branch Q
From the table:
Total workforce in Branch Q = 1200
Percentage of female employees in Branch Q = 60%
Step 3: Find the number of male employees in Branch R
From the table:
Total workforce in Branch R = 500
Percentage of female employees in Branch R = 40%
Step 4: Find the total workforce and female employees in Branch T
The problem states that the total workforce in Branch T is 2X% less than the total male employees in Branch R.
Since , we have .
The total female employees in Branch T is 0.2 times that in Branch Q:
Step 5: Calculate the number of male employees in Branch T
Subtracting the female employees from the total workforce in Branch T:
Hence, the number of male employees in Branch T is 81.
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