A candidate scored 260 marks and failed by 28 marks. If 40% marks are required to qualify an examination, then what were the maximum marks of the examination?

Options

A. 520
B. 620
C. 720
D. None of these

Answer

To solve the problem, we need to find the maximum marks of the examination based on the information provided.

### Step-by-Step Solution:

1. **Understand the Information Given**:
- The candidate scored 260 marks.
- The candidate failed by 28 marks.

2. **Calculate the Passing Marks**:
- If the candidate failed by 28 marks, it means the passing marks are 260 + 28 = 288 marks.

3. **Determine the Percentage Required to Pass**:
- It is given that 40% of the maximum marks are required to qualify the examination.

4. **Set Up the Equation**:
- Let the maximum marks be denoted as \( M \).
- According to the problem, the passing marks (288) are equal to 40% of the maximum marks.
- This can be expressed mathematically as:
\[ 288 = 0.4 \times M \]

5. **Solve for Maximum Marks (M)**:
- To find \( M \), rearrange the equation:
\[ M = \frac{288}{0.4} \]
- Calculate \( M \):
\[ M = 720 \]

6. **Conclusion**:
- The maximum marks of the examination are 720.

### Final Answer:
The maximum marks of the examination are **720**.