Respuesta :
Answer:
The price for a $200 pair of shoes after the same discount is applied is $160.
Step-by-step explanation:
A department store has a discount on shoes based on a percentage of the price.
Suppose one pair of shoes is marked down from $80 to $64.
Now, to find the price for a $200 pair of shoes after the same discount is applied.
So, we need to get the discount percentage first:
Initial marked price = $80.
Price marked down = $64.
Thus, discount = $80 - $64 = $16.
Discount percentage = [tex]\frac{16}{80} \times 100.[/tex]
[tex]Discount\ percentage=\frac{1600}{80} .[/tex]
[tex]Discount\ percentage=20\%.[/tex]
Now, to get the price for a $200 pair of shoes after the same discount:
$200 - 20% of $200.
[tex]=200-\frac{20}{100} \times 200[/tex]
[tex]=200-0.20\times 200.[/tex]
[tex]=200-40.[/tex]
[tex]=\$160.[/tex]
Therefore, the price for a $200 pair of shoes after the same discount is applied is $160.
