The cost price of 20 articles is equal to the selling price of 25 articles. The loss percent in the transaction is

Options

A. 5
B. 20
C. 25
D. 30

Answer

To find the loss percentage in the given transaction, we can follow these steps:

### Step 1: Define the Cost Price (CP) and Selling Price (SP)
Let's assume the cost price of one article is \( CP = 1 \) rupee.

### Step 2: Calculate the Total Cost Price for 20 Articles
The total cost price for 20 articles will be:
\[ \text{Total CP} = 20 \times CP = 20 \times 1 = 20 \text{ rupees} \]

### Step 3: Determine the Selling Price for 25 Articles
According to the problem, the cost price of 20 articles is equal to the selling price of 25 articles. Therefore, we can set up the equation:
\[ \text{Total SP} = 20 \text{ rupees} \]

### Step 4: Calculate the Selling Price of One Article
Since the selling price of 25 articles is 20 rupees, the selling price of one article is:
\[ SP = \frac{20}{25} = 0.8 \text{ rupees} \]

### Step 5: Calculate the Loss
The loss incurred on each article can be calculated as:
\[ \text{Loss} = CP - SP = 1 - 0.8 = 0.2 \text{ rupees} \]

### Step 6: Calculate the Total Loss
The total loss for 25 articles is:
\[ \text{Total Loss} = \text{Loss per article} \times 25 = 0.2 \times 25 = 5 \text{ rupees} \]

### Step 7: Calculate the Loss Percentage
The loss percentage is calculated using the formula:
\[ \text{Loss Percentage} = \left( \frac{\text{Total Loss}}{\text{Total CP of 25 articles}} \right) \times 100 \]
Here, the total cost price of 25 articles is:
\[ \text{Total CP of 25 articles} = 25 \times 1 = 25 \text{ rupees} \]
Substituting the values:
\[ \text{Loss Percentage} = \left( \frac{5}{25} \right) \times 100 = 20\% \]

### Conclusion
The loss percentage in the transaction is **20%**.

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