After allowing a discount of `26%` on the marked price of an article, it is sold at Rs. 444. Find its marked price.

Options

A. Rs. 500
B. Rs. 550
C. Rs. 640
D. Rs. 600

Answer

To find the marked price of the article after allowing a discount of 26% and selling it for Rs. 444, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information:**
- Selling Price (SP) = Rs. 444
- Discount = 26%

2. **Express the Marked Price (MP):**
- Let the marked price be denoted as MP.
- The selling price can be calculated using the formula:
\[ SP = MP - \text{Discount} \]
- The discount can also be expressed in terms of the marked price:
\[ \text{Discount} = \frac{26}{100} \times MP = 0.26 \times MP \]

3. **Substituting the Discount in the Selling Price Formula:**
- We can rewrite the selling price formula as:
\[ SP = MP - 0.26 \times MP \]
- This simplifies to:
\[ SP = MP \times (1 - 0.26) = MP \times 0.74 \]

4. **Substituting the Selling Price:**
- Now, we substitute the known selling price into the equation:
\[ 444 = MP \times 0.74 \]

5. **Solving for Marked Price (MP):**
- To find MP, we rearrange the equation:
\[ MP = \frac{444}{0.74} \]
- Now, perform the division:
\[ MP = 600 \]

6. **Conclusion:**
- The marked price of the article is Rs. 600.