If selling price of 10 articles is equal to cost price of 6 articles, then net profit or loss is :

Question

Accepted Answer

To determine the net profit or loss, we need to compare the selling price (SP) and cost price (CP) of the articles.

Given:
- Selling price of 10 articles = Cost price of 6 articles

Let's assume the cost price of one article is $ C $.

Therefore, the cost price of 6 articles is $ 6C $.

According to the problem, the selling price of 10 articles is also $ 6C $.

Now, let's find the cost price of 10 articles:
- Cost price of 10 articles = $ 10C $

We know:
- Selling price of 10 articles = $ 6C $
- Cost price of 10 articles = $ 10C $

To find the profit or loss, we calculate the difference between the selling price and the cost price for 10 articles:

$$ \text{Loss} = \text{Cost Price} - \text{Selling Price} $$
$$ \text{Loss} = 10C - 6C = 4C $$

The loss percentage is calculated as follows:

$$ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 $$
$$ \text{Loss Percentage} = \left( \frac{4C}{10C} \right) \times 100 = 40\% $$

Therefore, there is a 40% loss, which confirms that Option 1 is correct.

Explanation for why other options are incorrect:

2. **20% loss**: This option is incorrect because the calculated loss percentage is 40%, not 20%.

3. **10% profit**: This option is incorrect because there is a loss, not a profit. The calculation shows a 40% loss.

4. **Neither profit nor loss**: This option is incorrect because there is a clear loss of 40%, as calculated above.

Thus, the correct answer is Option 1: 40% loss.