In order to pass in an exam a student is required to get 975 marks. priya got 870 and failed by 7%. Find the maximum marks of the exam.

Options

A. a. 1500
B. b. 1000
C. c. 1200
D. d. none of these

Answer

To find the maximum marks of the exam based on the information provided, we can follow these steps:

### Step 1: Understand the given information
- Passing marks required: 975
- Marks obtained by Priya: 870
- Priya failed by 7%

### Step 2: Determine how many marks Priya failed by
To find out how many marks Priya failed by, we can calculate the difference between the passing marks and the marks she obtained:

\[ \text{Marks failed by} = \text{Passing marks} - \text{Marks obtained} \]
\[ \text{Marks failed by} = 975 - 870 = 105 \]

### Step 3: Relate the failed marks to the percentage
According to the problem, Priya failed by 7%. This means that the 105 marks she failed by represent 7% of the total maximum marks (let's denote it as \( M \)).

### Step 4: Set up the equation
We can set up the equation based on the relationship between the failed marks and the percentage:

\[ 7\% \text{ of } M = 105 \]

This can be expressed mathematically as:

\[ \frac{7}{100} \times M = 105 \]

### Step 5: Solve for \( M \)
To find \( M \), we can rearrange the equation:

\[ M = 105 \times \frac{100}{7} \]

Now, calculate \( M \):

\[ M = 105 \times \frac{100}{7} = 105 \times 14.2857 \approx 1500 \]

### Step 6: Conclusion
Thus, the maximum marks of the exam are:

\[ \text{Maximum Marks} = 1500 \]

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