In an examination, the maximum aggregate marks that a student can get is 1040 . In order to pass the exam , a student is rquired to get 676 marks out of the aggregate marks. Mina got 624 marks. By what per cent did Mina fail in the exam ?

Options

A. 0.05
B. 0.08
C. 0.07
D. Cannot be determined

Explanation

To solve the problem step by step, we need to determine by what percentage Mina failed in the exam.

### Step 1: Identify the maximum marks and passing marks
The maximum aggregate marks that a student can get is 1040, and the passing marks required to pass the exam is 676.

### Step 2: Determine the marks Mina obtained
Mina scored 624 marks.

### Step 3: Calculate the difference between passing marks and Mina's marks
To find out how many marks Mina fell short of passing, we subtract her marks from the passing marks:
\[ \text{Marks failed} = \text{Passing marks} - \text{Mina's marks} = 676 - 624 = 52 \]

### Step 4: Calculate the percentage of marks failed
To find the percentage of marks Mina failed, we use the formula:
\[ \text{Percentage failed} = \left(\frac{\text{Marks failed}}{\text{Total maximum marks}}\right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage failed} = \left(\frac{52}{1040}\right) \times 100 \]

### Step 5: Simplify the calculation
Calculating the fraction:
\[ \frac{52}{1040} = 0.05 \]
Now, multiplying by 100 to convert it into a percentage:
\[ 0.05 \times 100 = 5\% \]

### Conclusion
Mina failed by **5%** in the exam.

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