If an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be :

Options

A. 450
B. 600
C. 300
D. 100

Answer

To solve the problem step by step, we will use the information given in the question:

1. **Understand the Problem**: A candidate scored 30% of the total marks and failed by 30 marks. The passing marks are 60% of the total marks. We need to find the maximum marks.

2. **Let Total Marks be x**:
- We will denote the total marks as \( x \).

3. **Calculate Passing Marks**:
- The passing marks are 60% of the total marks, which can be expressed as:
\[ \text{Passing Marks} = 0.6x \]

4. **Calculate Marks Obtained by the Candidate**:
- The candidate scored 30% of the total marks, which can be expressed as:
\[ \text{Marks Obtained} = 0.3x \]

5. **Set Up the Equation**:
- The candidate failed by 30 marks, which means the difference between the passing marks and the marks obtained is 30. Therefore, we can set up the equation:
\[ 0.6x - 0.3x = 30 \]

6. **Simplify the Equation**:
- Simplifying the left side gives:
\[ 0.3x = 30 \]

7. **Solve for x**:
- To find \( x \), divide both sides by 0.3:
\[ x = \frac{30}{0.3} = 100 \]

8. **Conclusion**:
- The maximum marks for the examination are \( 100 \).

### Final Answer:
The maximum marks will be **100**.