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

Respuesta :

1365

30,000 x .09 = 2700 tax

30,000 - 2700 = 27,300 in sales

27,300 x .05 = 1365 commission

Answer:

$1365.

Step-by-step explanation:

We have been given that Last month, Alyssa sold $30,000 worth of items. She is paid 5 percent commission on her total sales each month.

First of all, we will find 5% of $30,000 as:

[tex]\text{Alyssa's commission}=\frac{5}{100}\times \$30,000[/tex]

[tex]\text{Alyssa's commission}=5\times \$300[/tex]

[tex]\text{Alyssa's commission}=\$1500[/tex]

We are also told that 9% of state tax is deducted from her commission. This means that Alyssa's commission after sales tax would be 91% (100%-9%) of $1500.

[tex]\text{Alyssa's commission after sales tax}=\$1500\times \frac{91}{100}[/tex]

[tex]\text{Alyssa's commission after sales tax}=\$15\times 91[/tex]

[tex]\text{Alyssa's commission after sales tax}=\$1365[/tex]

Therefore, Alyssa will get $1365 in commission after sales tax deduction.

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