A shopkeeper sells an article forRs 248.50 after allowing a discount of 10%. Find the list price of the article.

Answer

To find the list price of the article given that the selling price is Rs 248.50 after a discount of 10%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, List Price, and Discount
The Selling Price (SP) can be calculated using the formula:
\[ SP = \text{List Price} - \text{Discount} \]
Alternatively, we can express the Selling Price in terms of the List Price (LP) and the discount percentage:
\[ SP = LP \times \left(1 - \frac{\text{Discount \%}}{100}\right) \]

### Step 2: Assign known values
From the question, we know:
- Selling Price (SP) = Rs 248.50
- Discount = 10%

### Step 3: Substitute the known values into the formula
Using the formula for Selling Price:
\[ 248.50 = LP \times \left(1 - \frac{10}{100}\right) \]
This simplifies to:
\[ 248.50 = LP \times 0.90 \]

### Step 4: Solve for the List Price (LP)
To find the List Price, we rearrange the equation:
\[ LP = \frac{248.50}{0.90} \]
Now, we can calculate:
\[ LP = \frac{248.50}{0.90} = 276.11 \]

### Step 5: Conclusion
The List Price of the article is approximately Rs 276.11.

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