Question

With tax included, a couch costs $315. What does the couch cost before tax?

Answer 1

The $315 cost of the couch after tax, gives the cost before tax, C, as the following equation;

$Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t}$

How can the cost before tax be expressed?

The cost of the couch with tax = $315

Let, t, represent the tax rate, and let C, represent the cost before tax, we have;

315 = C + C × t

• 315 = C × (1 + t)

Which gives;

• The cost of the couch before tax, C = 315/(1 + t)

Mathematically, we have the following equation;

$Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t}$

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