Question

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?

Answer 1

Answer:

D

Step-by-step explanation:

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Answer 2

The selling price of a t-shirt after one month markdown is $\boxed{9.38}.$

Further explanation:

Given:

The store marks up price $150\%.$

Cost of a t-shirt is $\ 5.$

The store reduces the selling price by $25\%.$

Explanation:

The store marks up the price by $150\%.$

Decimal representation of $150\%$ is as follows,

$\begin{aligned}150\% &= \frac{{150}}{{100}}\\&= 1.5\\\end{aligned}$

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

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

Cost of a shirt after markup price,

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

The store reduces the selling price of the shirt by $25\%.$

Markdown price can be obtained as follows,

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

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

$\begin{aligned}{\text{Selling price}} &= 12.5 - 3.12\\&= 9.38\\\end{aligned}$

The selling price of a t-shirt after one month markdown is $\boxed{9.38}.$

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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.