Let's solve the problem step-by-step.
Given:
1. The item cost: \[tex]$206
2. The tax percentage: 3%
3. The total cost including tax: \$[/tex]278,075
First, we need to calculate the amount of tax applied to the item.
### Step 1: Calculate the Tax Amount
To find the tax amount, we use the formula:
[tex]\[ \text{Tax Amount} = \left( \frac{\text{Item Cost} \times \text{Tax Percentage}}{100} \right) \][/tex]
Substituting the given values:
[tex]\[ \text{Tax Amount} = \left( \frac{206 \times 3}{100} \right) \][/tex]
This calculation results in:
[tex]\[ \text{Tax Amount} = \$6.18 \][/tex]
### Step 2: Calculate the Actual Cost Without Tax
Now, to find the actual cost of the item without tax included, we subtract the tax amount from the total cost.
Actual cost can be calculated as:
[tex]\[ \text{Actual Cost} = \text{Total Cost} - \text{Tax Amount} \][/tex]
Substituting the given values and the tax amount we calculated:
[tex]\[ \text{Actual Cost} = 278075 - 6.18 \][/tex]
This calculation results in:
[tex]\[ \text{Actual Cost} = \$278,068.82 \][/tex]
### Summary
- The tax amount is \[tex]$6.18.
- The actual cost of the item without tax is \$[/tex]278,068.82.
Therefore, the answer is:
[tex]\[ \text{Tax Amount} = \$6.18 \][/tex]
[tex]\[ \text{Actual Cost} = \$278,068.82 \][/tex]
