A student has to score 40% of the maximum marks to pass. Alisha scored 255 marks and failed by 45 marks. Calculate the maximum marks.

Options

A. 450
B. 500
C. 550
D. 750

Answer

To solve the problem, we need to find the maximum marks based on the information given about Alisha's score and the passing criteria.

### Step-by-Step Solution:

1. **Identify the passing marks:**
Alisha scored 255 marks and failed by 45 marks. This means that the passing marks can be calculated by adding the marks she needed to pass to her score.
\[ \text{Passing Marks} = \text{Alisha's Score} + \text{Marks Failed By} = 255 + 45 = 300 \]

2. **Set up the equation for maximum marks:**
We know that to pass, a student needs to score 40% of the maximum marks. Let's denote the maximum marks as \( M \).
\[ \text{Passing Marks} = 40\% \text{ of } M = \frac{40}{100} \times M = 0.4M \]

3. **Equate the passing marks to the calculated passing marks:**
From the previous steps, we have:
\[ 0.4M = 300 \]

4. **Solve for maximum marks \( M \):**
To find \( M \), we can rearrange the equation:
\[ M = \frac{300}{0.4} \]
Now, calculate \( M \):
\[ M = 300 \div 0.4 = 300 \times \frac{10}{4} = 300 \times 2.5 = 750 \]

5. **Conclusion:**
The maximum marks are \( 750 \).

### Final Answer:
The maximum marks are **750**.