Sure, let's break down this problem step-by-step.
### Step 1: Understand the Problem
Vuyo buys three brands of sunglasses at different costs and applies a 40% markup to determine the selling price. We need to calculate the selling price per pair for each brand.
### Step 2: Identify the Variables
- Cost per pair for Brand A: \[tex]$100
- Cost per pair for Brand B: \$[/tex]150
- Cost per pair for Brand C: \[tex]$300
- Markup percentage: 40%
### Step 3: Convert the Markup Percentage
We need to express the markup percentage as a decimal to perform multiplications easily.
\[ \text{Markup Percentage} = 40\% = 0.40 \]
### Step 4: Calculate the Selling Price for Each Brand
#### For Brand A:
- Cost per pair: \$[/tex]100
- Markup Amount: [tex]\(100 \times 0.40 = 40 \)[/tex]
- Selling Price: [tex]\(100 + 40 = 140\)[/tex]
#### For Brand B:
- Cost per pair: \[tex]$150
- Markup Amount: \(150 \times 0.40 = 60 \)
- Selling Price: \(150 + 60 = 210\)
#### For Brand C:
- Cost per pair: \$[/tex]300
- Markup Amount: [tex]\(300 \times 0.40 = 120 \)[/tex]
- Selling Price: [tex]\(300 + 120 = 420\)[/tex]
### Conclusion
The selling prices for each brand after applying the 40% markup are:
- Brand A: \[tex]$140 per pair
- Brand B: \$[/tex]210 per pair
- Brand C: \$420 per pair
