SSC CGL 12 Aug 2017 Shift 1 Paper

Let the number of employees in the starting $=\mathit{x}$
The average salary in the starting$=\mathit{y}$
Initial expenditure $=\mathit{x}\mathit{y}$
The employees were reduced in the ratio 5: 3 , then the number of employees $=\frac{3\mathit{x}}{5}$
The average salary was increased in the ratio 7: 8 , then average salary $=\frac{8}{7}\mathit{y}$
According to the question,
$\mathit{x}\mathit{y}-\frac{3\mathit{x}}{5}\times \frac{8\mathit{y}}{7}=55000$
⇒ $\frac{35\mathit{x}\mathit{y}-24\mathit{x}\mathit{y}}{35}=55000$
⇒ $11\mathit{x}\mathit{y}=35\times 55000$
∴ $\mathit{x}\mathit{y}=175000$
So, the initial expenditure of company $=\mathrm{₹}175000$