The fare of a bus is Rs. X for the first five kilometers and Rs. 13/- per kilometers and Rs. 13/- per kilometer thereafter. If a passenger pays Rs. 2402/- for a journey of 187 kilometers, what is the value of X ?

Options

A. Rs.29/-
B. Rs.39/-
C. Rs. 36/-
D. Rs. 31/-

Explanation

To solve the problem, we need to determine the value of \( X \) based on the information provided about the bus fare.

### Step-by-Step Solution:

1. **Identify the Fare Structure**:
- The fare for the first 5 kilometers is \( X \) rupees.
- The fare for each kilometer after the first 5 kilometers is Rs. 13.

2. **Calculate the Distance Beyond the First 5 Kilometers**:
- The total journey is 187 kilometers.
- The distance beyond the first 5 kilometers is:
\[ 187 - 5 = 182 \text{ kilometers} \]

3. **Calculate the Total Fare for the Journey**:
- The total fare paid by the passenger is Rs. 2402.
- The fare for the first 5 kilometers is \( X \) rupees.
- The fare for the remaining 182 kilometers is:
\[ 182 \times 13 = 2366 \text{ rupees} \]

4. **Set Up the Equation**:
- The total fare can be expressed as:
\[ X + 2366 = 2402 \]

5. **Solve for \( X \)**:
- Rearranging the equation gives:
\[ X = 2402 - 2366 \]
- Calculating the right side:
\[ X = 36 \]

### Final Answer:
The value of \( X \) is **Rs. 36**.

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