Question Details

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.


Branch Total workforce Percentage of females P 800 X% Q 1200 60% R 500 40% S 900 Y%

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.

Options

A

81

B

84

C

98

D

76

E

90

Show Answer

Correct Answer :

Option A

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

Female employees in Branch P = 800 - 700 = 100

The percentage of females in Branch P is given as X%:

X = 100 800 × 100 = 12.5

Thus, X=12.5.

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%

Female employees in Branch Q = 60 % of 1200 = 60 100 × 1200 = 720

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%

Female employees in Branch R = 40 % of 500 = 40 100 × 500 = 200

Male employees in Branch R = 500 - 200 = 300

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 X=12.5, we have 2X%=2×12.5%=25%.

Total workforce in Branch T = 300 - 25 % of 300 = 300 - 75 = 225

The total female employees in Branch T is 0.2 times that in Branch Q:

Female employees in Branch T = 0.2 × 720 = 144

Step 5: Calculate the number of male employees in Branch T
Subtracting the female employees from the total workforce in Branch T:

Male employees in Branch T = 225 - 144 = 81

Hence, the number of male employees in Branch T is 81.

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