In May, 2018 a store had a furniture with a listed price of $550, having a sales tax of 3% on the listed price. Next month the price increased by 33 1/3 %. What sales tax should be paid in dollars on the new price?

Respuesta :

Answer:   $ 22


Step-by-step explanation:


[tex]\boxed{\$ 22}[/tex] of sales tax should be paidon the new price.

Further Explanation:

Calculation:

The given listed price of furniture in the month of May is [tex]\$550.[/tex]

The sales tax is of [tex]3\%[/tex] on the listed price of the furniture.

The price of the month May is increased by [tex]33\dfrac{1}{3}\%.[/tex]

The increased price of the furniture can be obtained as follows,

[tex]\begin{aligned}{\text{Increased price}} &= 550 + \left( {33\frac{1}{3}\%  \times 550} \right)\\&= 550 + \left( {\frac{{33.34}}{{100}} \times 550} \right)\\&= 550 + 0.3333 \times 550\\&= 550 + 183.32\\&= 733.32 \\\end{aligned}[/tex]

The new price of the furniture in dollars is [tex]\$ 733.32.[/tex]

The sales tax is of  [tex]3\%[/tex] on the listed price.

The sales tax on the new price can be obtained as follows,

[tex]\begin{aligned}{\text{Sales tax}}&= 3\% {\text{ of new price}}\\&= \frac{3}{{100}} \times 733.32\\&= \$ 22\\\end{aligned}[/tex]

[tex]\boxed{\$ 22}[/tex] of sales tax should be paid in dollars on the new price.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Sales Tax

Keywords: May, 2018, store, furniture, listed, price, listed price, $550, sales, sales tax, 3%, tax on listed price, next month, price increased, increased price, month, 33 1/3%, paid, dollars, new price.