The original price of phone is $ 315.76
Solution:
Given that Mica bought a new smart phone for $ 258.13.
That was the price after his 18.25% discount
To find: original price of phone
From given question,
price after discount = $ 258.13
discount = 18.25 %
Let "x" be the original price of phone
price after discount = original price - discount
[tex]258.13 = x - 18.25 \% \text{ of } x[/tex]
[tex]258.13 = x - \frac{18.25}{100}x[/tex]
[tex]258.13 = x(1 - \frac{18.25}{100})[/tex]
[tex]258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = \frac{258.13}{0.8175}\\\\x = 315.76[/tex]
Thus original price of phone is $ 315.76
