If 30 shirts were bought for Rs 9000 and out of those, 10 shirts were sold for Rs 3500, then find the profit/ loss percent in the whole transaction.

Options

A. Profit, `16(2)/(3)%`
B. Loss, `16(2)/(3)%`
C. Profit, 16%
D. Loss, 16%

Answer

To find the profit or loss percent in the whole transaction, we can follow these steps:

### Step 1: Calculate the Cost Price (CP) of one shirt.
- The total cost price for 30 shirts is Rs. 9000.
- Cost Price of one shirt = Total Cost Price / Number of shirts
- CP of one shirt = 9000 / 30 = Rs. 300

### Step 2: Calculate the Selling Price (SP) of one shirt.
- The total selling price for 10 shirts is Rs. 3500.
- Selling Price of one shirt = Total Selling Price / Number of shirts sold
- SP of one shirt = 3500 / 10 = Rs. 350

### Step 3: Calculate the total Cost Price (CP) for 30 shirts.
- Total CP for 30 shirts = Rs. 9000 (as given)

### Step 4: Calculate the total Selling Price (SP) for 30 shirts.
- Since we only sold 10 shirts for Rs. 3500, we need to find the SP for all 30 shirts.
- Assuming the remaining 20 shirts are not sold yet, the total SP for the sold shirts is Rs. 3500.
- Total SP for 30 shirts = SP of sold shirts + SP of unsold shirts
- Total SP for 30 shirts = 3500 + (20 shirts * SP of one shirt)
- Total SP for 30 shirts = 3500 + (20 * 350) = 3500 + 7000 = Rs. 10500

### Step 5: Calculate Profit or Loss.
- Profit or Loss = Total SP - Total CP
- Profit or Loss = 10500 - 9000 = Rs. 1500 (Profit)

### Step 6: Calculate Profit Percent.
- Profit Percent = (Profit / Total CP) * 100
- Profit Percent = (1500 / 9000) * 100 = 16.67%

### Final Answer:
The profit percent in the whole transaction is **16.67%**.

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