In an exam of 300 marks a student gets 75 marks. If she had scored 6 more marks she would have attained passing percentage. What is the passing percent?

Options

A. 25
B. 30
C. 35
D. 27

Answer

To find the passing percentage in this problem, we can follow these steps:

### Step 1: Understand the problem
We know that the total marks for the exam is 300. The student scored 75 marks. If she had scored 6 more marks, she would have scored 81 marks.

### Step 2: Determine the passing marks
Since scoring 81 marks would allow the student to pass, we can conclude that the passing marks are 81.

### Step 3: Calculate the passing percentage
To find the passing percentage, we use the formula:

\[ \text{Passing Percentage} = \left( \frac{\text{Passing Marks}}{\text{Total Marks}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Passing Percentage} = \left( \frac{81}{300} \right) \times 100 \]

### Step 4: Perform the calculation
Calculating the fraction:

\[ \frac{81}{300} = 0.27 \]

Now, multiplying by 100 to get the percentage:

\[ 0.27 \times 100 = 27 \]

### Conclusion
The passing percentage is 27%.

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