After allowing a discount of 15% on the marked price of an article, it is sold for Rs 680. Find the marked price of the article is

Answer

To find the marked price of the article after allowing a discount of 15% and selling it for Rs 680, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between marked price, discount, and selling price**:
The selling price (SP) is equal to the marked price (MP) minus the discount. This can be expressed as:
\[ SP = MP - \text{Discount} \]

2. **Let the marked price be \( X \)**:
We will denote the marked price of the article as \( X \).

3. **Calculate the discount**:
The discount is 15% of the marked price. Therefore, the discount can be expressed as:
\[ \text{Discount} = 15\% \text{ of } X = \frac{15}{100} \times X = \frac{15X}{100} \]

4. **Set up the equation**:
Using the relationship from step 1, we can substitute the discount into the equation:
\[ 680 = X - \frac{15X}{100} \]

5. **Simplify the equation**:
To simplify, we can express \( X - \frac{15X}{100} \) as:
\[ 680 = \frac{100X - 15X}{100} = \frac{85X}{100} \]

6. **Eliminate the fraction**:
Multiply both sides of the equation by 100 to eliminate the fraction:
\[ 68000 = 85X \]

7. **Solve for \( X \)**:
Now, divide both sides by 85 to find the marked price:
\[ X = \frac{68000}{85} \]
Performing the division:
\[ X = 800 \]

8. **Conclusion**:
The marked price of the article is Rs 800.