An article is sold at Rs. 3000 after allowing doscount of `12.5%` on Marked price.
Quantity I- Rs. 1100
Quantity II- Marked price of article.

Options

A. Quantity `Igt` Quantity II
B. Quantity `I lt` Quantity II
C. Quantity `I ge` Quantity II
D. Quantity `I le` Quantity II

Explanation

To solve the problem, we need to find the marked price of the article given that it is sold for Rs. 3000 after a discount of 12.5%.

### Step-by-step Solution:

1. **Understand the relationship between Selling Price, Marked Price, and Discount**:
- The Selling Price (SP) is given as Rs. 3000.
- The discount percentage is 12.5% on the Marked Price (MP).

2. **Set up the equation**:
- Let the Marked Price be \( X \).
- The discount amount can be calculated as \( 12.5\% \) of \( X \), which is \( \frac{12.5}{100} \times X = 0.125X \).
- Therefore, the Selling Price can be expressed as:
\[ SP = MP - \text{Discount} \]
\[ 3000 = X - 0.125X \]

3. **Simplify the equation**:
- Combining the terms on the right side gives:
\[ 3000 = 0.875X \]

4. **Solve for Marked Price (X)**:
- To find \( X \), divide both sides by 0.875:
\[ X = \frac{3000}{0.875} \]

5. **Calculate the value**:
- Performing the division:
\[ X = 3000 \div 0.875 = 3428.57 \]
- Thus, the Marked Price is approximately Rs. 3428.57.

6. **Compare with Quantity I**:
- Quantity I is Rs. 1100.
- Quantity II is the Marked Price, which we calculated as Rs. 3428.57.

7. **Conclusion**:
- Since Rs. 3428.57 (Quantity II) is greater than Rs. 1100 (Quantity I), we can conclude that Quantity II is greater.

### Final Answer:
- Quantity I: Rs. 1100
- Quantity II: Marked Price of article: Rs. 3428.57
- Therefore, Quantity II > Quantity I.

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