A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $$ \$ 1,013.65 $$, and the tax rate in the area is $$ 6.7 \% $$, what was the pre- tax subtotal?

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UpStudy AI · Accepted Answer

To find the pre-tax subtotal, we can use the formula:

$$ \text{Pre-tax subtotal} = \frac{\text{After-tax total}}{1 + \text{Tax rate}} $$

Given:
- After-tax total = $1,013.65
- Tax rate = 6.7%

Substitute the values into the formula:

$$ \text{Pre-tax subtotal} = \frac{1,013.65}{1 + 0.067} $$

Now, we can calculate the pre-tax subtotal.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1013.65}{\left(1+0.067\right)}$$
- step1: Remove the parentheses:
  $$\frac{1013.65}{1+0.067}$$
- step2: Add the numbers:
  $$\frac{1013.65}{1.067}$$
- step3: Convert the expressions:
  $$\frac{\frac{20273}{20}}{\frac{1067}{1000}}$$
- step4: Multiply by the reciprocal:
  $$\frac{20273}{20}\times \frac{1000}{1067}$$
- step5: Reduce the numbers:
  $$19\times 50$$
- step6: Multiply the numbers:
  $$950$$
The pre-tax subtotal is $950.

A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was \( \$ 1,013.65 \), and the tax rate in the area is \( 6.7 \% \), what was the pre- tax subtotal?

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