Question

Hernando’s salary was \(49,500 last year. This year his salary was cut to \)44,055. Find the percent decrease.

Short answer

The percent decrease in his salary is 11%.

Step-by-step solution

Step. 1 Given Information

Hernando's salary last year was $49,500.

But his salary cuts and now his new salary is $44,055.

Step. 2 Percentage calculation

The change in his salary is $44,055 - $46,500 = -$5,445.

Now, the percent change in his salary will be calculated as follows:

$$\begin{gathered} =\frac{Changeinhissalary}{Oldsalary}\times 100\% \\ =\frac{-5,445}{49,500}\times 100\% \\ =-0.11\times 100\% \\ =-11\% \end{gathered}$$

This negative sign shows that the change is negative and it is percent decrease.

Therefore, 11% will be the percent decrease.