Respuesta :

the decrease is 16.22%

Explanation

Step 1

you can easily solve and understand this by using a rule of three

Let x represents the new percent

if

[tex]111\Rightarrow100\text{ \%}[/tex]

then

[tex]93\Rightarrow x[/tex]

as the proportion is the same

[tex]\begin{gathered} \frac{111}{100}=\frac{93}{x} \\ \text{cross multiply} \\ 111x=93\cdot100 \\ \text{divide both sides by 111} \\ \frac{111x}{111}=\frac{9300}{111} \\ x=83.78 \end{gathered}[/tex]

so, $93 is 83.78% of the original price

it means the percent decrease is

[tex]\begin{gathered} \text{Decrease}=\text{original-new} \\ \text{Decrease}=100\text{ -83.78} \\ \text{Decrease}=16.22 \end{gathered}[/tex]

Hence, the decrease is 16.22%.

I hope this helps you