Cost price of 19 articles is Rs 625. By selling these articles A person incurred loss equal to selling price of 6 articles. Find the selling price of each article.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the given information
The cost price (CP) of 19 articles is Rs 625.

### Step 2: Calculate the cost price of one article
To find the cost price of one article, we divide the total cost price by the number of articles:
\[ \text{Cost Price of one article} = \frac{625}{19} \]

### Step 3: Set up the selling price
Let the selling price of one article be \( x \).

### Step 4: Understand the loss incurred
The problem states that the loss incurred is equal to the selling price of 6 articles. Therefore:
\[ \text{Loss} = 6x \]

### Step 5: Relate selling price and cost price
Since the loss is defined as the difference between the cost price and the selling price, we can express this as:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]
Substituting the values we have:
\[ 6x = 625 - 19x \]

### Step 6: Solve for \( x \)
Now, we will solve the equation:
\[ 6x + 19x = 625 \]
\[ 25x = 625 \]
\[ x = \frac{625}{25} \]
\[ x = 25 \]

### Step 7: Conclusion
The selling price of each article is Rs 25.

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