In an examination it is requirted to get 36% to pass. A student gets 145 marks and fails by 35 marks. The maximum marks are

Options

A. `400`
B. `450`
C. `500`
D. `600`

Answer

To solve the problem step-by-step, we will follow the reasoning laid out in the video transcript.

### Step 1: Understand the Problem
We know that to pass the examination, a student needs to score at least 36% of the maximum marks. The student scored 145 marks but failed by 35 marks. This means that if he had scored 35 more marks, he would have passed.

### Step 2: Set Up the Equation
Let the maximum marks be denoted as \( M \). The passing marks \( P \) can be calculated as:
\[ P = 36\% \text{ of } M = \frac{36}{100} \times M = 0.36M \]

### Step 3: Calculate the Required Passing Marks
Since the student failed by 35 marks, we can express the passing marks in terms of the marks he scored:
\[ P = 145 + 35 = 180 \]

### Step 4: Set Up the Equation for Maximum Marks
Now we can set up the equation:
\[ 0.36M = 180 \]

### Step 5: Solve for Maximum Marks
To find \( M \), we rearrange the equation:
\[ M = \frac{180}{0.36} \]

Calculating the right side:
\[ M = 180 \div 0.36 \]
\[ M = 180 \times \frac{100}{36} \]
\[ M = 180 \times \frac{25}{9} \]
\[ M = 20 \times 25 \]
\[ M = 500 \]

### Final Answer
The maximum marks \( M \) are 500.

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