Some article are purchased at 6 in Rs. 5 and sold at 5 for Rs. 6. Profit will be
कुछ वस्तुएं रू0 5 में 6 के हिसाब से खरीदी गई तथा रू0 6 में 5 के हिसाब से बेची गयी। लाभ होगा:

Options

A. 0.05
B. 0.06
C. 0.3
D. 0.44

Explanation

To solve the problem of calculating profit from the given buying and selling prices of articles, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the Cost Price (CP):**
- Articles are purchased at 6 for Rs. 5.
- Therefore, the cost price of one article is:
\[ \text{CP} = \frac{5 \text{ Rs}}{6 \text{ articles}} = \frac{5}{6} \text{ Rs per article} \]

2. **Determine the Selling Price (SP):**
- Articles are sold at 5 for Rs. 6.
- Therefore, the selling price of one article is:
\[ \text{SP} = \frac{6 \text{ Rs}}{5 \text{ articles}} = \frac{6}{5} \text{ Rs per article} \]

3. **Calculate Profit per Article:**
- Profit is calculated as:
\[ \text{Profit} = \text{SP} - \text{CP} \]
- Substituting the values:
\[ \text{Profit} = \frac{6}{5} - \frac{5}{6} \]
- To perform this subtraction, we need a common denominator, which is 30:
\[ \text{Profit} = \frac{6 \times 6}{30} - \frac{5 \times 5}{30} = \frac{36}{30} - \frac{25}{30} = \frac{11}{30} \text{ Rs} \]

4. **Calculate Profit Percentage:**
- Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{\frac{11}{30}}{\frac{5}{6}}\right) \times 100 \]
- Simplifying the fraction:
\[ \text{Profit Percentage} = \left(\frac{11}{30} \times \frac{6}{5}\right) \times 100 = \left(\frac{66}{150}\right) \times 100 = \frac{66 \times 100}{150} \]
- Reducing the fraction:
\[ \text{Profit Percentage} = \frac{6600}{150} = 44\% \]

### Final Answer:
The profit percentage is **44%**.

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