Question

The average salary paid to all employees of XYZ is Rs.4800. If the average salaries of male and female employees are Rs.5600 and Rs.3200, find the number of female employees as a percentage of all employees in the company​

Answer 1

Answer:

%33.33

Step-by-step explanation:

Let,

Number of male employees = x

Number of female employees = y

Sum of salaries of male employees = a

Sum of salaries of female employees = b

Then, from the formula

Average salary = Sum of all the salaries / Number of employees

₹5600 = a/x

a = ₹5600x

₹3200 = b/y

b = ₹3200y

₹4800 = (a + b)/(x + y)

₹4800 = (₹5600x + ₹3200y)/(x + y)

₹4800x + ₹4800y = ₹5600x + ₹3200y

₹4800y - ₹3200y = ₹5600x - ₹4800x

₹1600y = ₹800x

x = ₹1600y/₹800

x = 2y

%Female employees = y/(y + x) × 100

= y/(y + 2y) × 100

= y/(3y) × 100

= 100/3

= 33.33%