Question

name
lesson quiz
3-5

1. select all the expressions that can be used to find the price of a $400 telescope after a 32% markup. solve.

$\square 400 \bullet 0.32$
$\square 400 \bullet 3.2$
$\square 400 \bullet 1.32$
$\square 400 + 400(0.32)$
$\square 400 + 400(1.32)$

1. a laptop was originally sold for $975. the laptop is now on sale for $828.75. what is the percent markdown?
2. jermaine buys t-shirts for $6 each and marks up the price by 45%. how much profit does jermaine make from each t-shirt sold?

Explanation:

Step1: Identify valid markup expressions

A 32% markup means the new price is 100% + 32% = 132% of the original price, or original price + 32% of original price.

• $400 \bullet 1.32$ (132% of 400)
• $400 + 400(0.32)$ (original + 32% of original)

Step2: Calculate percent markdown (Q2)

First find markdown amount, then divide by original price.
Markdown amount: $975 - 828.75 = 146.25$
Percent markdown: $\frac{146.25}{975} \times 100\% = 15\%$

Step3: Calculate T-shirt profit (Q3)

Profit = markup amount = 45% of cost price.
Profit: $6 \times 0.45 = 2.70$

Answer:

1. Valid expressions:

• $400 \bullet 1.32$
• $400 + 400(0.32)$

The final price of the telescope is $\$528$.

1. 15%
2. $\$2.70$