If the cost price of 850 articles is equal to the selling price of 595 articles then the gain or loss % is:

Options

A. `51%`
B. `42.84%`
C. `35%`
D. `44.44%`

Answer

To solve the problem, we need to find the gain or loss percentage based on the given information about the cost price (CP) and selling price (SP) of articles.

### Step-by-Step Solution:

1. **Identify the given values:**
- Cost Price (CP) of 850 articles = Selling Price (SP) of 595 articles.

2. **Let the Cost Price of one article be \( CP \) and Selling Price of one article be \( SP \).**
- Therefore, the total cost price for 850 articles is \( 850 \times CP \).
- The total selling price for 595 articles is \( 595 \times SP \).

3. **Set up the equation based on the information provided:**
\[ 850 \times CP = 595 \times SP \]

4. **Express \( SP \) in terms of \( CP \):**
\[ SP = \frac{850 \times CP}{595} \]

5. **Calculate the gain or loss:**
- Gain or Loss = Selling Price - Cost Price
- Here, we need to find the difference for 850 articles:
\[ \text{Gain or Loss} = 595 \times SP - 850 \times CP \]

6. **Substituting the expression for \( SP \):**
\[ \text{Gain or Loss} = 595 \times \left(\frac{850 \times CP}{595}\right) - 850 \times CP \]
\[ = 850 \times CP - 850 \times CP = 0 \]

7. **Calculate the overall gain or loss:**
- Since the cost price of 850 articles is equal to the selling price of 595 articles, we can conclude that there is a loss.
- The loss can be calculated as:
\[ \text{Loss} = CP - SP \]

8. **Calculate the loss percentage:**
- Loss Percentage is given by:
\[ \text{Loss Percentage} = \left(\frac{\text{Loss}}{CP}\right) \times 100 \]
- Substitute the values:
\[ \text{Loss Percentage} = \left(\frac{255}{850}\right) \times 100 \]
\[ = 30\% \]

9. **Final result:**
- The loss percentage is **30%**.