In order to pass in an exam a student is required to get 975 marks out of the aggregate marks. Priya got 870 marks and was declared failed by 7 per cent . What are the maximum aggregate marks a student can get in the examination ?

Options

A. 1500
B. 1000
C. 1200
D. Cannot be determined

Explanation

To solve the problem step by step, we will follow the reasoning presented in the video transcript.

### Step 1: Understand the problem
We know that Priya needs 975 marks to pass the exam, but she only scored 870 marks. She was declared failed by 7%.

### Step 2: Calculate the difference between passing marks and Priya's marks
To find out how much Priya fell short of passing, we calculate:
\[ \text{Difference} = \text{Passing Marks} - \text{Priya's Marks} \]
\[ \text{Difference} = 975 - 870 = 105 \]

### Step 3: Relate the difference to the percentage
Since Priya was declared failed by 7%, we can say that this difference of 105 marks represents 7% of the maximum aggregate marks (let's denote it as \( x \)):
\[ 7\% \text{ of } x = 105 \]

### Step 4: Set up the equation
We can express this mathematically as:
\[ \frac{7}{100} \times x = 105 \]

### Step 5: Solve for \( x \)
To find \( x \), we rearrange the equation:
\[ x = \frac{105 \times 100}{7} \]
Calculating this gives:
\[ x = \frac{10500}{7} \]
\[ x = 1500 \]

### Conclusion
The maximum aggregate marks a student can get in the examination is **1500**.

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