A student has to score 40% of the maximum marks to pass. Ronak scored 85 marks and failed by 35 marks. Find the maximum marks.

Options

A. 450
B. 250
C. 400
D. 300

Answer

To solve the problem step by step, we will follow these calculations:

**Step 1: Understand the problem.**
Ronak scored 85 marks but failed by 35 marks. This means if he had scored 35 more marks, he would have passed.

**Step 2: Calculate the passing marks.**
To find out how many marks Ronak needed to pass, we add the marks he scored (85) to the marks he was short by (35):
\[ \text{Passing Marks} = 85 + 35 = 120 \]

**Step 3: Determine what percentage of the maximum marks the passing marks represent.**
According to the problem, a student needs to score 40% of the maximum marks to pass. Therefore, we set up the equation:
\[ 40\% \text{ of Maximum Marks} = 120 \]

**Step 4: Convert the percentage to a fraction.**
We can express 40% as a fraction:
\[ 40\% = \frac{40}{100} = \frac{2}{5} \]

**Step 5: Set up the equation to find the maximum marks.**
Let the maximum marks be \( M \). Then we can write:
\[ \frac{2}{5} M = 120 \]

**Step 6: Solve for \( M \).**
To find \( M \), we can multiply both sides of the equation by \( \frac{5}{2} \):
\[ M = 120 \times \frac{5}{2} \]
Calculating this gives:
\[ M = 120 \times 2.5 = 300 \]

**Step 7: Conclusion.**
The maximum marks are 300.

### Final Answer:
The maximum marks are **300**.

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