In an examination Sunil secured 480 marks out of 1200 marks and failed by 96 marks. What is the minimum passing percentage ?

Options

A. 46
B. 45
C. 42
D. None of these

Answer

To find the minimum passing percentage, we can follow these steps:

### Step 1: Determine the marks required to pass
Sunil secured 480 marks and failed by 96 marks. This means the marks required to pass can be calculated as:
\[ \text{Marks required to pass} = \text{Marks secured} + \text{Marks failed by} = 480 + 96 = 576 \]

### Step 2: Calculate the total marks
The total marks for the examination is given as 1200.

### Step 3: Calculate the passing percentage
To find the passing percentage, we use the formula:
\[ \text{Passing Percentage} = \left( \frac{\text{Marks required to pass}}{\text{Total Marks}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Passing Percentage} = \left( \frac{576}{1200} \right) \times 100 \]

### Step 4: Simplify the fraction
Now we simplify the fraction:
\[ \frac{576}{1200} = \frac{576 \div 24}{1200 \div 24} = \frac{24}{50} = \frac{12}{25} \]

### Step 5: Convert the fraction to percentage
Now we convert the fraction \(\frac{12}{25}\) to a percentage:
\[ \frac{12}{25} \times 100 = 48\% \]

### Final Answer
The minimum passing percentage is \(48\%\).

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