A winter jacket is marked down 75% from its original price. According to the new price tag, it now costs $52.50. What was the original price?

Question

anonymous · Answer

$210 original price

mathmale · Answer

@purpledinosaurs:  Remember:  guide the other person towards finding his or her own answer.  Emphatically do NOT just provide the answer without explanation or involvement of the other person.

mathmale · Answer

Let x = original price.

If the markdown was 75%, then this person is paying just 25% of the original price.

Write an equation, involving x (the original price), 0.25 (the fraction of the original price that this person is paying for the jacket), and the new price.  Solve for x.  Show your work, please.

skullpatrol · Answer

$$\frac{	ext{percent of change}}{{100}}=\frac{	ext{change in price}}{	ext{original price}}$$

mathmale · Answer

Original price:  1.00 x
Markdown:  75%, or 0.75
Price actually paid:  (1.00-0.75)*x=$52.50
or:                              (0.25)x +$52.50

Please solve this for x.  Express your answer in dollars ($).