A department store purchases screen-printed t-shirts at a cost of $5 per shirt. The store marks up the price 150% and puts them on the sales floor. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25%. What is the selling price of a t-shirt after one monthly markdown?

Respuesta :

The selling price of a t-shirt after one month markdown is [tex]\boxed{9.38}.[/tex]

Further explanation:

Given:

The store marks up price [tex]150\%.[/tex]

Cost of a t-shirt is [tex]\$ 5.[/tex]

The store reduces the selling price by [tex]25\%.[/tex]

Explanation:

The store marks up the price by [tex]150\%.[/tex]

Decimal representation of [tex]150\%[/tex] is as follows,

[tex]\begin{aligned}150\% &= \frac{{150}}{{100}}\\&= 1.5\\\end{aligned}[/tex]

The store marks up the price can be obtained as follows,

[tex]\begin{aigned}{\text{Cost}} &= 1.5 \times 5\\&= \$ 7.5\\\end{aligned}[/tex]

Cost of a shirt after markup price,

[tex]\begin{aligned}{\text{Cost after markup price}} &= \$ 5 + \$ 7.5\\&= \$ 12.5\\\end{aligned}[/tex]

The store reduces the selling price of the shirt by [tex]25\%.[/tex]

Markdown price can be obtained as follows,

[tex]\begin{aligned}{\text{Markdown price}} &= 0.25 \times 12.5\\&= \$ 3.12\\\end{aligned}[/tex]

The selling price of the t-shirt can be obtained as follows,

[tex]\begin{aligned}{\text{Selling price}} &= 12.5 - 3.12\\&= 9.38\\\end{aligned}[/tex]

The selling price of a t-shirt after one month markdown is [tex]\boxed{9.38}.[/tex]

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Profit and Loss

Keywords: department store, purchases, screen-printed t-shirt, cost, store marks up, 150%, $5, every month, reduces the selling price, monthly markdown.

Answer:

9.38

Step-by-step explanation:

edg 2021

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