On selling 17 articles for Rs 720 a person incurred loss equal to cost price of 5 articles. Find the C.P. of each article ?

Answer

To find the cost price (C.P.) of each article, we can follow these steps:

### Step 1: Define Variables
Let the cost price of each article be \( x \).

### Step 2: Calculate Total Cost Price
The total cost price of 17 articles will be:
\[ \text{Total C.P.} = 17x \]

### Step 3: Determine Loss
According to the problem, the loss incurred is equal to the cost price of 5 articles:
\[ \text{Loss} = 5x \]

### Step 4: Calculate Selling Price
The selling price (S.P.) of the 17 articles is given as Rs. 720. Since there is a loss, we can express the selling price in terms of the cost price:
\[ \text{S.P.} = \text{Total C.P.} - \text{Loss} \]
Substituting the values we have:
\[ 720 = 17x - 5x \]
This simplifies to:
\[ 720 = 12x \]

### Step 5: Solve for x
Now, we can solve for \( x \):
\[ x = \frac{720}{12} = 60 \]

### Step 6: Conclusion
The cost price of each article is:
\[ \text{C.P. of each article} = Rs. 60 \]

### Summary
The cost price of each article is Rs. 60.

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