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

Answer:

Explanation:

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

Store A (1/2% off)

$\begin{gathered} \text{Price=10}-(\frac{1}{2}\%\text{ of 10)} \\ =10-\frac{0.5\times10}{100} \\ =10-0.05 \\ =\ 9.95 \end{gathered}$

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

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

$\begin{gathered} \text{Price=10}-(\frac{1}{4}\%\text{ of 10)} \\ =10-\frac{0.25\times10}{100} \\ =10-0.0025x \\ =\ 9.975 \end{gathered}$

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

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

$\begin{gathered} \text{Price=}9.975-(\frac{1}{4}\%\text{ of }9.975\text{)} \\ =9.975-(\frac{0.25}{100}\times9.975) \\ =\ 9.9500625 \\ =\ 9.95 \end{gathered}$

N