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 the information given in the question and use the concepts of profit and loss.

### Step 1: Determine the Cost Price of One Article
The cost price (CP) of 19 articles is given as Rs 625. To find the cost price of one article, we divide the total cost price by the number of articles.

\[ \text{Cost Price of 1 article} = \frac{\text{Total Cost Price}}{\text{Number of Articles}} = \frac{625}{19} \]

Calculating this gives:

\[ \text{Cost Price of 1 article} = 32.89 \text{ (approximately)} \]

### Step 2: Understand the Loss
The problem states that the loss incurred by selling all 19 articles is equal to the selling price of 6 articles.

Let the selling price of one article be \( SP \). Therefore, the selling price of 6 articles is:

\[ \text{Selling Price of 6 articles} = 6 \times SP \]

### Step 3: Set Up the Loss Equation
The loss can be expressed as:

\[ \text{Loss} = \text{Cost Price of 19 articles} - \text{Selling Price of 19 articles} \]

The selling price of 19 articles can be expressed as:

\[ \text{Selling Price of 19 articles} = 19 \times SP \]

Thus, the loss can be rewritten as:

\[ \text{Loss} = 625 - (19 \times SP) \]

### Step 4: Equate the Loss to Selling Price of 6 Articles
According to the problem, the loss is equal to the selling price of 6 articles:

\[ 625 - (19 \times SP) = 6 \times SP \]

### Step 5: Solve for Selling Price (SP)
Now, we can solve for \( SP \):

\[ 625 = 19 \times SP + 6 \times SP \]
\[ 625 = 25 \times SP \]
\[ SP = \frac{625}{25} \]
\[ SP = 25 \]

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

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