A cloth seller sells his complete stock of an item and incurs a loss of 10 percent. What is his cost price for the stock if the total loss is Rs 3000?

Options

A. a) Rs 30000
B. b) Rs 33000
C. c) Rs 27000
D. d)Rs 10000

Answer

To find the cost price of the stock for the cloth seller who incurred a loss of 10%, we can follow these steps:

### Step 1: Understand the relationship between cost price (CP), selling price (SP), and loss.
The loss percentage is given as 10%. This means that the selling price is 90% of the cost price.

### Step 2: Set up the equation for selling price.
If we denote the cost price as CP, then the selling price (SP) can be expressed as:
\[ SP = CP - \text{Loss} \]
Given that the loss is 10% of the cost price, we can write:
\[ SP = CP - 0.10 \times CP \]
This simplifies to:
\[ SP = 0.90 \times CP \]

### Step 3: Relate the loss to the cost price.
We know that the total loss incurred is Rs 3000. Since the loss is 10% of the cost price, we can express this as:
\[ \text{Loss} = 0.10 \times CP \]
Setting this equal to the total loss:
\[ 0.10 \times CP = 3000 \]

### Step 4: Solve for the cost price.
To find the cost price, we can rearrange the equation:
\[ CP = \frac{3000}{0.10} \]
Calculating this gives:
\[ CP = 3000 \times 10 = 30000 \]

### Conclusion:
The cost price for the stock is Rs 30,000.

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