If the total cost of 73 articles having equal cost is Rs 5, 110 and the total selling price of 89 such articles is Rs 5, 607, then find the loss or gain percentage in the transaction

Answer

To solve the problem step by step, we will follow the outlined procedure:

### Step 1: Calculate the Cost Price (CP) of One Article
The total cost of 73 articles is Rs 5,110. To find the cost price of one article, we divide the total cost by the number of articles.

\[ \text{Cost Price of 1 article} = \frac{\text{Total Cost}}{\text{Number of Articles}} = \frac{5110}{73} \]

Calculating this gives:

\[ \text{Cost Price of 1 article} = 70 \text{ Rs} \]

### Step 2: Calculate the Selling Price (SP) of One Article
The total selling price of 89 articles is Rs 5,607. To find the selling price of one article, we divide the total selling price by the number of articles.

\[ \text{Selling Price of 1 article} = \frac{\text{Total Selling Price}}{\text{Number of Articles}} = \frac{5607}{89} \]

Calculating this gives:

\[ \text{Selling Price of 1 article} = 63 \text{ Rs} \]

### Step 3: Determine the Loss
Now, we need to find out if there is a loss or gain. Since the cost price of one article (Rs 70) is greater than the selling price of one article (Rs 63), there is a loss.

The loss can be calculated as follows:

\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} = 70 - 63 = 7 \text{ Rs} \]

### Step 4: Calculate the Loss Percentage
To find the loss percentage, we use the formula:

\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Loss Percentage} = \left( \frac{7}{70} \right) \times 100 \]

Calculating this gives:

\[ \text{Loss Percentage} = 10\% \]

### Final Answer
The loss percentage in the transaction is **10%**.

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