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.

$\begin{array}{ccc}\text{Branch}& \text{Total workforce}& \text{Percentage of females}\\ P& 800& X\%\\ Q& 1200& 60\%\\ R& 500& 40\%\\ S& 900& Y\%\end{array}$

If (X + 7.5)% of the total female employees in Branch S use company laptops and (Y + 3)% of the male employees in Branch S use company desktops, find the difference between the total number of employees using laptops and those using desktops in Branch S. (Note: Every employee in Branch S uses either a laptop or a desktop.)

The correct answer is 162.

Step 1: Find the value of X (Percentage of female employees in Branch P).

Total workforce in Branch P = 800
Number of male employees in Branch P = 700
Number of female employees in Branch P = 800 - 700 = 100

$X\%=\left(\frac{100}{800}\right)\times 100\%=12.5\%$

Thus, $X=12.5$.

Step 2: Find the value of Y (Percentage of female employees in Branch S).

Total workforce in Branch Q = 1200
Percentage of female employees in Branch Q = 60%

$\text{Number of females in Branch Q}=60\%\text{of}1200=\frac{60}{100}\times 1200=720$

Total females in Branch Q and Branch S together = 945
Number of female employees in Branch S = 945 - 720 = 225
Total workforce in Branch S = 900

$Y\%=\left(\frac{225}{900}\right)\times 100\%=25\%$

Thus, $Y=25$.

Number of male employees in Branch S = 900 - 225 = 675.

Step 3: Calculate laptop and desktop users in Branch S.

Percentage of female employees using laptops = (X + 7.5)% = (12.5 + 7.5)% = 20%

$\text{Females using laptops}=20\%\text{of}225=\frac{20}{100}\times 225=45$

Females using desktops = 225 - 45 = 180

Percentage of male employees using desktops = (Y + 3)% = (25 + 3)% = 28%

$\text{Males using desktops}=28\%\text{of}675=\frac{28}{100}\times 675=189$

Males using laptops = 675 - 189 = 486

Step 4: Find the total laptop and desktop users, and their difference.

Total employees using laptops = 45 + 486 = 531
Total employees using desktops = 180 + 189 = 369

$\text{Difference}=531-369=162$

Therefore, the difference between the total number of employees using laptops and those using desktops in Branch S is 162.