In an examination, one should get 36% of the maximum marks to pass . A student obtained 113 marks and is declared fail by 85 marks . The maximum marks are _________ .

Options

A. 500
B. 550
C. 640
D. 1008

Answer

To find the maximum marks, we can set up the problem step by step.

### Step 1: Understand the problem
We know that a student needs to score at least 36% of the maximum marks to pass. The student scored 113 marks but failed by 85 marks.

### Step 2: Set up the equation
Let the maximum marks be represented as \( M \). According to the problem, the passing marks can be calculated as:
\[ \text{Passing Marks} = 36\% \text{ of } M = \frac{36}{100} \times M = 0.36M \]

Since the student failed by 85 marks, it means the student needed 85 more marks to pass. Therefore, we can express this as:
\[ 113 + 85 = 0.36M \]

### Step 3: Calculate the total marks needed to pass
Now, calculate the total marks needed to pass:
\[ 113 + 85 = 198 \]
So, we have:
\[ 0.36M = 198 \]

### Step 4: Solve for M
To find \( M \), we can rearrange the equation:
\[ M = \frac{198}{0.36} \]

Now, calculate \( M \):
\[ M = 198 \div 0.36 = 550 \]

### Step 5: Conclusion
Thus, the maximum marks are:
\[ \boxed{550} \]

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