In an examination it is required to get 55% of the aggregate marks to pass. A student gets 250 mark and is declared failde by 5% marks. What are the maximum aggregate marks a student can get ?

Options

A. 960
B. 1250
C. 1040
D. Cannot be determined

Explanation

To solve the problem step by step, we need to determine the maximum aggregate marks a student can get based on the information provided.

### Step-by-Step Solution:

1. **Understand the Passing Criteria**:
The student needs to score at least 55% of the aggregate marks to pass.

2. **Identify the Marks Obtained and the Failure Margin**:
The student scored 250 marks but failed by 5% of the aggregate marks. This means that the student needed 5% more than what they scored to pass.

3. **Determine the Marks Required to Pass**:
Let's denote the maximum aggregate marks as \( x \).
Since the student failed by 5%, it means that the student needed 5% of \( x \) more than 250 marks to pass.

Therefore, the marks required to pass can be expressed as:
\[ \text{Marks required to pass} = 250 + 0.05x \]

4. **Set Up the Equation**:
According to the passing criteria, the marks required to pass is also equal to 55% of the maximum aggregate marks:
\[ 0.55x = 250 + 0.05x \]

5. **Solve the Equation**:
Rearranging the equation:
\[ 0.55x - 0.05x = 250 \]
\[ 0.50x = 250 \]
Dividing both sides by 0.50:
\[ x = \frac{250}{0.50} = 500 \]

6. **Conclusion**:
The maximum aggregate marks a student can get is **500**.