The marked price of a shirt is Rs 1800 and retailer gets a discount of 40%. If he sells that shirt for Rs 1800, then what is the profit percentage of retailer?

Options

A. 40
B. 66.66
C. `37.5`
D. `62.5`

Answer

To find the profit percentage of the retailer when selling the shirt, we can follow these steps:

### Step 1: Calculate the Discount Amount
The marked price (MP) of the shirt is Rs 1800, and the retailer receives a discount of 40%.

\[ \text{Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} \]
\[ \text{Discount} = 1800 \times \frac{40}{100} = 1800 \times 0.4 = 720 \]

### Step 2: Calculate the Cost Price (CP)
The cost price can be calculated by subtracting the discount from the marked price.

\[ \text{Cost Price} = \text{Marked Price} - \text{Discount} \]
\[ \text{Cost Price} = 1800 - 720 = 1080 \]

### Step 3: Determine the Selling Price (SP)
The selling price is given as Rs 1800.

\[ \text{Selling Price} = 1800 \]

### Step 4: Calculate the Profit
Profit can be calculated by subtracting the cost price from the selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 1800 - 1080 = 720 \]

### Step 5: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:

\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100 \]
\[ \text{Profit Percentage} = \left(\frac{720}{1080}\right) \times 100 \]
\[ \text{Profit Percentage} = \left(\frac{720 \div 360}{1080 \div 360}\right) \times 100 = \left(\frac{2}{3}\right) \times 100 \]
\[ \text{Profit Percentage} = 66.67\% \]

### Final Answer
The profit percentage of the retailer is **66.67%**.

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