Certainly! Let's go through the problem step by step:
1. Identify the price of the sewing kit before tax:
- The price of the sewing kit before tax is [tex]$4.00.
2. Identify the total price after tax:
- The total price after tax is $[/tex]4.12.
3. Calculate the amount of sales tax paid:
- To find the sales tax amount, subtract the price without tax from the price with tax:
[tex]\[
\text{Sales tax amount} = \text{Price with tax} - \text{Price without tax} = 4.12 - 4.00 = 0.12
\][/tex]
4. Determine the sales tax percentage:
- The sales tax percentage can be found using the following formula:
[tex]\[
\text{Sales tax percentage} = \left( \frac{\text{Sales tax amount}}{\text{Price without tax}} \right) \times 100
\][/tex]
- Plugging in the values we have:
[tex]\[
\text{Sales tax percentage} = \left( \frac{0.12}{4.00} \right) \times 100 = 0.03 \times 100 = 3.0000000000000027\%
\][/tex]
5. Round to a suitable degree:
- While the precise calculation gives us 3.0000000000000027%, it is conventional to round the result to a more practical number for such small discrepancies. Thus, the sales tax percentage is approximately [tex]\(3.0\%\)[/tex].
Therefore, the sales tax percentage is 3.0%.
