The cost price of an article is Rs. 800. After allowing a discount of 10%, a gain of 12.5% was made. Then the marked price of the article is

Options

A. Rs. 1,000
B. Rs. 1,100
C. Rs. 1,200
D. Rs. 1,300

Answer

To find the marked price of the article, we can follow these steps:

### Step 1: Understand the given information
- Cost Price (CP) = Rs. 800
- Discount = 10%
- Gain (Profit) = 12.5%

### Step 2: Calculate the Selling Price (SP)
To find the Selling Price, we first need to determine the profit amount based on the Cost Price.

1. **Calculate the profit amount**:
\[ \text{Profit} = \frac{12.5}{100} \times \text{CP} = \frac{12.5}{100} \times 800 = 100 \]

2. **Calculate the Selling Price**:
\[ \text{SP} = \text{CP} + \text{Profit} = 800 + 100 = 900 \]

### Step 3: Relate Selling Price to Marked Price
The Selling Price is related to the Marked Price (MP) through the discount given.

1. **Express Selling Price in terms of Marked Price**:
\[ \text{SP} = \text{MP} - \text{Discount on MP} \]
Since the discount is 10%, we can express it as:
\[ \text{Discount} = 10\% \text{ of MP} = \frac{10}{100} \times \text{MP} = 0.1 \times \text{MP} \]
Therefore, we can write:
\[ \text{SP} = \text{MP} - 0.1 \times \text{MP} = 0.9 \times \text{MP} \]

### Step 4: Set up the equation
Now we can set up the equation using the Selling Price we calculated:
\[ 900 = 0.9 \times \text{MP} \]

### Step 5: Solve for Marked Price
To find the Marked Price (MP), we rearrange the equation:
\[ \text{MP} = \frac{900}{0.9} = 1000 \]

### Conclusion
The marked price of the article is Rs. 1000.

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