If the total number of male employees in the company Is x% more than the total number of female employees, then the value of x (nearest to an integer) 

Given:

Total employees = 3000

Dept % – Ratios:

Accounts: 18%, M:F = 11:7

Marketing: 23%, M:F = 12:11

IT: 27%, M:F = 14:13

Administration: 20%, M:F = 3:2

Others: 12%, M:F = 4:5

Formula used:

Dept emp = total × %/100

Male = (M/(M+F)) × dept emp

Female = (F/(M+F)) × dept emp

x% = ((Male_total – Female_total)/Female_total) ×100

Calculations:

⇒ Administration employees = \((3000×18)/100=540\)

⇒ Administration M = \((11/18)×540=330\), F = 210

⇒ Marketing employees = \((3000×23)/100=690\)

⇒ Marketing M = \((12/23)×690=360\), F = 330

⇒ IT employees = \((3000×27)/100=810\)

⇒ IT M = \((14/27)×810=420\), F = 390

⇒ Admin employees = \((3000×20)/100=600\)

⇒ Admin M = \((3/5)×600=360\), F = 240

⇒ Others employees = \((3000×12)/100=360\)

⇒ Others M = \((4/9)×360=160\), F = 200

⇒ Male_total = 330+360+420+360+160 = 1630

⇒ Female_total = 210+330+390+240+200 = 1370

⇒ x = \((1630–1370)/1370×100 ≈18.98%\)

⇒ x ≈ 19%

∴ The correct answer is option 3.