In an examination, Ravi scored `‘x’%` marks but failed by 102 marks. In the same examination Ram scored `(3x – 4) %` marks, thus scored 78 marks above passing marks. Find the value of ‘x’.
Statement I: Maximum marks of the examination are 600.
Statement II: Difference between the marks obtained by Ravi and Ram is 180.

Options

A. The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
B. The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C. The data either in Statement I or in Statement II alone are sufficient to answer the question.
D. The data in both Statements I and II together are necessary to answer the question.

Explanation

To solve the problem, we need to find the value of 'x' based on the information given about Ravi and Ram's scores in an examination.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- Ravi scored \( x\% \) of the maximum marks and failed by 102 marks.
- Ram scored \( (3x - 4)\% \) of the maximum marks and scored 78 marks above the passing marks.

2. **Setting Up the Equations**:
- Let the maximum marks be \( M \).
- The passing marks can be represented as \( P \).
- From the information given:
- Ravi's score: \( \frac{x}{100} \times M \)
- Since Ravi failed by 102 marks:
\[ P = \frac{x}{100} \times M + 102 \]
- Ram's score: \( \frac{(3x - 4)}{100} \times M \)
- Since Ram scored 78 marks above the passing marks:
\[ \frac{(3x - 4)}{100} \times M = P + 78 \]

3. **Substituting for P**:
- Substitute \( P \) from Ravi's equation into Ram's equation:
\[ \frac{(3x - 4)}{100} \times M = \left(\frac{x}{100} \times M + 102\right) + 78 \]
- Simplifying this gives:
\[ \frac{(3x - 4)}{100} \times M = \frac{x}{100} \times M + 180 \]

4. **Eliminating M**:
- Multiply through by 100 to eliminate the fraction:
\[ (3x - 4)M = xM + 18000 \]
- Rearranging gives:
\[ (3x - 4 - x)M = 18000 \]
- Simplifying further:
\[ (2x - 4)M = 18000 \]

5. **Using Statement I**:
- From Statement I, we know \( M = 600 \):
\[ (2x - 4) \times 600 = 18000 \]
- Dividing both sides by 600:
\[ 2x - 4 = 30 \]
- Adding 4 to both sides:
\[ 2x = 34 \]
- Dividing by 2 gives:
\[ x = 17 \]

### Conclusion:
The value of \( x \) is **17**.