Question

2 stores sell the same shirt at the same price both the stores decide to sell the shirt at a discounted price Store A: 1/2% off Store B: 1/4% off plus an additional 1/4% off today only. Which store offers a better discount if bought today and why?

Answer 1

Step-by-step explanation:

To illustrate, let the price of the shirt = $10

Store A (1/2% off)

`\begin{gathered} \text{Price=10}-((1)/(2)\%\text{ of 10)} \\ =10-(0.5*10)/(100) \\ =10-0.05 \\ =\$9.95 \end{gathered}`

Store B (1/4% off plus an additional 1/4% off)

First, we calculate the price after 1/4% off.

`\begin{gathered} \text{Price=10}-((1)/(4)\%\text{ of 10)} \\ =10-(0.25*10)/(100) \\ =10-0.0025x \\ =\$9.975 \end{gathered}`

Next, an additional 1/4% is taken off.

Therefore, the price of the shirt at Store B today will be:

`\begin{gathered} \text{Price=}9.975-((1)/(4)\%\text{ of }9.975\text{)} \\ =9.975-((0.25)/(100)*9.975) \\ =\$9.9500625 \\ =\$9.95 \end{gathered}`

N