A man buys a dozen T-shirts for Rs. 1000. Two are damaged ad the rest are sold at Rs. 150 per shirt. Find the percentage of loss or profit.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the Cost Price (CP) of the T-shirts
The man buys a dozen (12) T-shirts for Rs. 1000.

**Cost Price (CP) for 12 T-shirts = Rs. 1000**

### Step 2: Calculate the Cost Price (CP) for One T-shirt
To find the cost price for one T-shirt, we divide the total cost by the number of T-shirts.

**Cost Price (CP) for 1 T-shirt = Total Cost / Number of T-shirts**
\[ CP \text{ for 1 T-shirt} = \frac{1000}{12} \approx 83.33 \text{ Rs.} \]

### Step 3: Determine the Number of T-shirts Sold
Two T-shirts are damaged, so the number of T-shirts that can be sold is:

**Number of T-shirts sold = Total T-shirts - Damaged T-shirts**
\[ \text{Number of T-shirts sold} = 12 - 2 = 10 \]

### Step 4: Calculate the Selling Price (SP) of the T-shirts
The selling price of each T-shirt is Rs. 150. Therefore, the total selling price for the 10 T-shirts is:

**Selling Price (SP) for 10 T-shirts = Selling Price per T-shirt × Number of T-shirts sold**
\[ SP \text{ for 10 T-shirts} = 150 \times 10 = 1500 \text{ Rs.} \]

### Step 5: Calculate the Profit
Profit is calculated by subtracting the cost price from the selling price.

**Profit = Selling Price - Cost Price**
\[ \text{Profit} = 1500 - 1000 = 500 \text{ Rs.} \]

### Step 6: Calculate the Profit Percentage
To find the profit percentage, we use the formula:

**Profit Percentage = (Profit / Cost Price) × 100**
\[ \text{Profit Percentage} = \left( \frac{500}{1000} \right) \times 100 = 50\% \]

### Final Answer
The percentage of profit is **50%**.

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