By selling an article at 20% discount, a shopkeeper gains 25%. If the selling price of the article is Rs 1,440, find :
the marked price of the article.

Answer

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

### Step 1: Define the variables
Let the marked price of the article be Rs. X.

### Step 2: Calculate the discount
The discount given is 20% of the marked price. Therefore, the discount can be calculated as:
\[ \text{Discount} = 20\% \text{ of } X = \frac{20}{100} \times X = \frac{1}{5}X \]

### Step 3: Write the selling price formula
The selling price (SP) is given by the formula:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
Substituting the known values, we have:
\[ 1440 = X - \frac{1}{5}X \]

### Step 4: Simplify the equation
Now, simplify the equation:
\[ 1440 = X - \frac{1}{5}X \]
This can be rewritten as:
\[ 1440 = \frac{5X}{5} - \frac{1X}{5} = \frac{4X}{5} \]

### Step 5: Solve for X
To find X, we multiply both sides of the equation by 5:
\[ 5 \times 1440 = 4X \]
\[ 7200 = 4X \]
Now, divide both sides by 4:
\[ X = \frac{7200}{4} = 1800 \]

### Step 6: Conclusion
Thus, the marked price of the article is Rs. 1800.