Respuesta :
Answer:
d) By 33.3%
Explanations:
Given the original price of the pair of shoe to be $100. If the price increased by 50%, the new price is calculated as:
[tex]\begin{gathered} New\text{ price}=\$100+(0.5\times\$100) \\ New\text{ price}=\$100+\$50 \\ New\text{ price}=\$150 \end{gathered}[/tex]If the price is reduced by 50% due to falling price, the new price of the shoe will be:
[tex]\begin{gathered} New\text{ price}=\$150-(50\%\times\$150) \\ New\text{ price}=150-75 \\ New\text{ price}=\$75 \end{gathered}[/tex]This shows that the new price due to falling price is $75
To calculate the percent the shoes be decreased in order to have the price back at $100, we will use the expression below;
[tex]\$100=\$150-(x\%\times150)[/tex]Solve for "x"
[tex]\begin{gathered} 100=150-(\frac{150x}{100}) \\ 100-150=-1.5x \\ -50=-1.5x \\ x=\frac{50}{1.5} \\ x=33.3 \end{gathered}[/tex]This shows that the shoes should have been decreased by 33.3% to have the price back at $100
