Sushil scored 103 marks in Hindi, 111 marks in Science , 98 marks in Sanskrit, 110 marks in Maths and 88 marks in English. If the maximum marks of each subject are equal and if Sushil scored 85 percent marks in all the subjects together , find the maximum marks of each subject.

Options

A. 110
B. 120
C. 115
D. 100

Explanation

To find the maximum marks of each subject, we can follow these steps:

### Step 1: Calculate the total marks scored by Sushil
First, we need to add up the marks Sushil scored in each subject.

- Hindi: 103 marks
- Science: 111 marks
- Sanskrit: 98 marks
- Maths: 110 marks
- English: 88 marks

**Total Marks Scored = 103 + 111 + 98 + 110 + 88**

**Total Marks Scored = 510 marks**

### Step 2: Set up the equation for maximum marks
Let the maximum marks for each subject be denoted as \( x \). Since there are 5 subjects, the total maximum marks will be \( 5x \).

### Step 3: Use the percentage to find the total maximum marks
According to the problem, Sushil scored 85% of the total maximum marks. Therefore, we can set up the equation:

\[ \text{Total Marks Scored} = 85\% \text{ of Total Maximum Marks} \]

This can be written as:

\[ 510 = 0.85 \times 5x \]

### Step 4: Solve for \( x \)
Now we can solve the equation for \( x \):

\[ 510 = 4.25x \]

To find \( x \), we divide both sides by 4.25:

\[ x = \frac{510}{4.25} \]

Calculating this gives:

\[ x = 120 \]

### Step 5: Conclusion
Thus, the maximum marks for each subject is \( 120 \).

### Summary
The maximum marks of each subject is **120**.

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