Quantity I: Profit Percentage, if Some articles were bougth at 6 articles for Rs.5 and sold at 5 articles for Rs. 6.
Quantity II: Profit Percentage, if 100 toys are bougth at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.

Options

A. Quantity `Igt` Quantity II
B. Quantity `I ge` Quantity II
C. Quantity `II gt` Quantity II
D. Quantity `II ge` Quantity I

Explanation

To solve the problem, we need to calculate the profit percentages for both Quantity I and Quantity II and then compare them.

### Step-by-Step Solution:

**Quantity I:**
1. **Determine the Cost Price (CP) and Selling Price (SP):**
- Articles are bought at 6 articles for Rs. 5.
- Therefore, the Cost Price (CP) for 6 articles = Rs. 5.
- The Cost Price (CP) for 1 article = \( \frac{5}{6} \) Rs.

2. **Calculate the Selling Price (SP):**
- Articles are sold at 5 articles for Rs. 6.
- Therefore, the Selling Price (SP) for 5 articles = Rs. 6.
- The Selling Price (SP) for 1 article = \( \frac{6}{5} \) Rs.

3. **Calculate Profit:**
- Profit = Selling Price - Cost Price
- Profit = \( \frac{6}{5} - \frac{5}{6} \)

4. **Finding a common denominator to calculate profit:**
- The common denominator of 5 and 6 is 30.
- Convert both fractions:
- \( \frac{6}{5} = \frac{36}{30} \)
- \( \frac{5}{6} = \frac{25}{30} \)
- Therefore, Profit = \( \frac{36}{30} - \frac{25}{30} = \frac{11}{30} \)

5. **Calculate Profit Percentage:**
- Profit Percentage = \( \frac{\text{Profit}}{\text{CP}} \times 100 \)
- Profit Percentage = \( \frac{\frac{11}{30}}{\frac{5}{6}} \times 100 \)
- Simplifying this:
- \( = \frac{11}{30} \times \frac{6}{5} \times 100 \)
- \( = \frac{66}{150} \times 100 \)
- \( = \frac{6600}{150} = 44\% \)

**Quantity II:**
1. **Determine the Cost Price (CP) and Selling Price (SP):**
- 100 toys are bought at Rs. 350.
- Therefore, the Cost Price (CP) for 100 toys = Rs. 350.
- The Cost Price (CP) for 1 toy = \( \frac{350}{100} = 3.5 \) Rs.

2. **Calculate the Selling Price (SP):**
- Toys are sold at Rs. 48 per dozen (12 toys).
- Therefore, the Selling Price (SP) for 12 toys = Rs. 48.
- The Selling Price (SP) for 1 toy = \( \frac{48}{12} = 4 \) Rs.

3. **Calculate Profit:**
- Profit = Selling Price - Cost Price
- Profit = \( 4 - 3.5 = 0.5 \) Rs.

4. **Calculate Profit Percentage:**
- Profit Percentage = \( \frac{\text{Profit}}{\text{CP}} \times 100 \)
- Profit Percentage = \( \frac{0.5}{3.5} \times 100 \)
- Simplifying this:
- \( = \frac{5}{35} \times 100 = \frac{100}{7} \approx 14.2857\% \) or \( 14 \frac{2}{7}\% \)

### Conclusion:
- Quantity I Profit Percentage = 44%
- Quantity II Profit Percentage = \( 14 \frac{2}{7}\% \)

**Comparison:**
Since \( 44\% > 14 \frac{2}{7}\% \), we conclude that Quantity I is greater than Quantity II.

### Final Answer:
**Quantity I is greater than Quantity II.**