Question

Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.

A) Write an equation that can be used to solve this question. Use x as the original cost and express any percentage in decimal form.



B) Solve your part [A] equation for x to find the original price of the tailored suit.

Answer 1

Step-by-step explanation:

Let the original cost of tailored suit be $ x.

$(A) \\ \therefore \: x + 19 \% \: of \: x = 357 \\ \\ \therefore \: x + \frac{19}{100} \: x = 357\\ \\ \therefore \: x + 0.19\: x = 357 \\ \\ \huge\red{ \boxed{\therefore \: 1.19\: x = 357}} \\ which \: is \: the \: required \: equation. \\ \\ (B) \\ \because \: 1.19\: x = 357 \\ \therefore \: x = \frac{357}{1.19} \\\huge\purple{ \boxed{ \therefore \: x = \ 300}}$

Thus, original cost of tailored suit is $ 300.