Answer :
Step-by-step explanation:
Let the cost price of one shirt be \( C \).
**Step 1: Selling Price Calculation**
The dealer gives a 20% discount on each shirt sold. Therefore, the selling price of one shirt after discount is:
\[ \text{Selling Price of one shirt} = 0.8 \times C \]
When a customer buys 5 shirts, the dealer gives 1 shirt for free. So, the selling price for 6 shirts is:
\[ \text{Total Selling Price for 6 shirts} = 6 \times 0.8 \times C = 4.8C \]
**Step 2: Profit Calculation**
It is given that the dealer makes a profit of 10% on selling 6 shirts. Let \( P \) denote the profit made. The profit is calculated as:
\[ P = \text{Selling Price} - \text{Cost Price} \]
\[ P = 4.8C - 6C = -1.2C \]
Since the dealer makes a profit of 10%, we have:
\[ -1.2C = 0.1 \times 6C \]
\[ -1.2C = 0.6C \]
This is incorrect. Let me calculate