In an examination its is required tto get 36% to pass. A student gets 160 marks and fails by 20 marks. Maximum marks are

Options

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

Answer

To solve the problem, we need to find the maximum marks based on the information provided. Let's break it down step by step.

### Step 1: Understand the problem
The student needs to score 36% of the maximum marks to pass. The student scored 160 marks but failed by 20 marks. This means the passing marks can be calculated as follows:

**Passing Marks = Marks Obtained + Marks Needed to Pass**

### Step 2: Calculate the Passing Marks
Given that the student scored 160 marks and needs 20 more marks to pass:

\[ \text{Passing Marks} = 160 + 20 = 180 \]

### Step 3: Set up the equation for Maximum Marks
We know that the passing marks (180) are 36% of the maximum marks (let's denote maximum marks as \( M \)). Therefore, we can set up the equation:

\[ \frac{36}{100} \times M = 180 \]

### Step 4: Solve for Maximum Marks
To find \( M \), we can rearrange the equation:

\[ M = \frac{180 \times 100}{36} \]

Now, calculate \( M \):

\[ M = \frac{18000}{36} \]

\[ M = 500 \]

### Conclusion
The maximum marks for the examination are **500**.

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