Ina an examination, a student must get ` 36 %` marks to pass. A student who gets 190 marks failed by 35 marks. The total marks in the examination is

Options

A. 450
B. 810
C. 500
D. 625

Answer

To solve the problem step by step, we will follow the logical flow of the information given in the question.

### Step 1: Understand the requirements to pass
The student must obtain 36% of the total marks to pass the examination.

### Step 2: Define the total marks
Let the total marks in the examination be denoted as \( X \).

### Step 3: Calculate the passing marks
The passing marks can be calculated as:
\[ \text{Passing Marks} = 36\% \text{ of } X = \frac{36}{100} \times X = 0.36X \]

### Step 4: Analyze the student's performance
The student scored 190 marks but failed by 35 marks. This means that if the student had scored 35 more marks, he would have passed.

### Step 5: Set up the equation
If the student had scored 35 more marks, his score would be:
\[ 190 + 35 = 225 \]
This score (225) is equal to the passing marks:
\[ 225 = 0.36X \]

### Step 6: Solve for \( X \)
To find \( X \), we rearrange the equation:
\[ X = \frac{225}{0.36} \]

### Step 7: Calculate \( X \)
Now, we perform the division:
\[ X = \frac{225}{0.36} = 625 \]

### Conclusion
The total marks in the examination is \( 625 \).