Question

Find the discounted price of each item.

backpack: $\mathrm{\$}45$, discount: $25\%$.

Short answer

The discounted price of the items is $\mathrm{\$}33.75$

Step-by-step solution

Step 1. Given information.

We have ‘backpack: $\mathrm{\$}45$, discount: $25\%$.

To find the discounted price of the items.

Step 2. Apply concept.

Firstly, we find the tax amount of the cost of the items then find the discounted price of the items by this formula.

$\text{Discountedpriceoftheitems}=\mathrm{Pr}\text{iceoftheitems}-\text{discountamountoftheitems}$

Step 3. Calculation.

The discount amount of the items is:

$\begin{array}{c}25\%\text{\hspace{0.17em}of45=}\frac{25\times 45}{100}\\ =\frac{45}{4}\\ =\mathrm{\$}11.25\end{array}$

So, the discounted price of items is:

$\begin{array}{l}\text{costofitems-discountamount}\\ \text{=\$45-\$11.25}\\ \text{=\$33.75}\end{array}$

Hence, the discounted price is $\mathrm{\$}33.75$.