Correct Answer - Option 1 : 55 ∶ 54

**Given: **

Decrement in number of employees = 10 ∶ 9

Increment in wages = 11 ∶ 12

**Formula Used:**

The ratio of total expenditure = \(\frac{Number\space of \space workers\space before \space change\times Wage \space per\space worker \space before \space change}{Number\space of \space workers\space after\space change \times Wage \space per\space worker \space after \space change}\)

**Calculation:**

Let assume the number of employees before decrement = 10x

The number of employees after decrement = 9x

Wages before increment = 11y

Wages after increment = 12y

Ratio of total expenditure = \(\frac{Number\space of \space workers\space before \space change\times Wage \space per\space worker \space before \space change}{Number\space of \space workers\space after\space change \times Wage \space per\space worker \space after \space change}\)

⇒ Ratio of total expenditure = \(\frac{10x \space \times \space11y}{9x\space \times \space 12y}\)

⇒ Ratio of total expenditure = 55 ∶ 54

∴ The ratio of total expenditure = 55 ∶ 54

The correct option is 1 i.e. 55 ∶ 54