Passing marks in an examination are 40%. If a candidate gets 65 marks and fails by 15 marks, the maximum marks in the examination are

Options

A. 250
B. 180
C. 220
D. 200

Answer

To find the maximum marks in the examination, we can follow these steps:

### Step 1: Understand the given information
- The candidate scored 65 marks.
- The candidate failed by 15 marks.
- The passing percentage is 40%.

### Step 2: Determine the passing marks
Since the candidate failed by 15 marks, this means that if he had scored 15 more marks, he would have passed. Therefore, the passing marks can be calculated as:
\[ \text{Passing Marks} = \text{Obtained Marks} + \text{Marks to Pass} \]
Substituting the values:
\[ \text{Passing Marks} = 65 + 15 = 80 \]

### Step 3: Set up the equation for maximum marks
We know that the passing marks are 40% of the maximum marks (let's denote the maximum marks as \( M \)). Therefore, we can write:
\[ 0.40 \times M = 80 \]

### Step 4: Solve for maximum marks
To find \( M \), we rearrange the equation:
\[ M = \frac{80}{0.40} \]
Calculating this gives:
\[ M = 80 \div 0.40 = 200 \]

### Conclusion
The maximum marks in the examination are \( \boxed{200} \).

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