Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = [tex]x[/tex]
New price = [tex]x - 10[/tex]
Original price - marked down amount - discount amount = $36.27
[tex]x - 10 -25\% of(x - 10 ) = 36.27\\[/tex]
[tex]x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\[/tex]
Adding both side by 7.5
[tex]0.75x = 43.77\\[/tex]
Dividing both side by 0.75
[tex]x = 58.36[/tex]
Therefore, the original price was $58.36
