Question

alyssa is paid 5 percent commission on her total sales each month. last month, she sold $30,000 worth of items. if a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?

$135
$150
$1,365
$1,500

Explanation:

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<reasoning>

Calculate the total commission earned

Using the Commission Calculation knowledge point
\[

$$\begin{aligned} \text{Sales} &= \$30,000 \\ \text{Commission Rate} &= 5\% = 0.05 \\ \text{Commission} &= \$30,000 \times 0.05 = \$1,500 \end{aligned}$$

\]

Calculate the state tax deduction

We need to find the amount of tax deducted from the commission.

• The state tax rate is \(9\%\).
• This tax is deducted directly from her commission of \(\$1,500\).
• We calculate \(9\%\) of \(\$1,500\):

\[
\text{Tax Deducted} = \$1,500 \times 0.09 = \$135
\]

Calculate the remaining amount

We subtract the tax deduction from the total commission to find how much is left.

• Subtract the tax from the commission:

\[
\text{Remaining Amount} = \$1,500 - \$135 = \$1,365
\]

• This matches the third option.

</reasoning>

<answer>
<mcq-option>(A) $135</mcq-option>
<mcq-option>(B) $150</mcq-option>
<mcq-correct>(C) $1,365</mcq-correct>
<mcq-option>(D) $1,500</mcq-option>
</answer>

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Answer:

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</pre_analysis>

<reasoning>

Calculate the total commission earned

Using the Commission Calculation knowledge point
\[

$$\begin{aligned} \text{Sales} &= \$30,000 \\ \text{Commission Rate} &= 5\% = 0.05 \\ \text{Commission} &= \$30,000 \times 0.05 = \$1,500 \end{aligned}$$

\]

Calculate the state tax deduction

We need to find the amount of tax deducted from the commission.

• The state tax rate is \(9\%\).
• This tax is deducted directly from her commission of \(\$1,500\).
• We calculate \(9\%\) of \(\$1,500\):

\[
\text{Tax Deducted} = \$1,500 \times 0.09 = \$135
\]

Calculate the remaining amount

We subtract the tax deduction from the total commission to find how much is left.

• Subtract the tax from the commission:

\[
\text{Remaining Amount} = \$1,500 - \$135 = \$1,365
\]

• This matches the third option.

</reasoning>

<answer>
<mcq-option>(A) $135</mcq-option>
<mcq-option>(B) $150</mcq-option>
<mcq-correct>(C) $1,365</mcq-correct>
<mcq-option>(D) $1,500</mcq-option>
</answer>

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