Given:
The price of coat after discount of 25% is $34.50.
To find:
The original price of the coat.
Solution:
Let x be the original price of the coat.
Price of coat after discount = Original price - 25% of original price
On substituting the values, we get
[tex]34.50=x-\dfrac{25}{100}\times x[/tex]
[tex]34.50=x-0.25x[/tex]
[tex]34.50=0.75x[/tex]
Divide both sides by 0.75.
[tex]\dfrac{34.50}{0.75}=x[/tex]
[tex]46=x[/tex]
Therefore, the original price of the coat is $46.