Question

Mica bought a new smart phone for $258.13. That was the price after his 18.25% discount. What was the original price of the phone?

Answer 1

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

`258.13 = x - 18.25 \% \text{ of } x`

`258.13 = x - (18.25)/(100)x`

`258.13 = x(1 - (18.25)/(100))`

`258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = (258.13)/(0.8175)\\\\x = 315.76`

Thus original price of phone is $ 315.76