Question

A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that will result in this tax-included amount

Answer 1

Answer: $285

Step-by-step explanation:

Given

A trip costs $\ 319.19$ after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

$\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\ 284.99\approx \ 285$

The amount before tax inclusion is $285