If costs Rs. 10 a kilometer to fly and Rs. 2 a km to drive. If one travels 200 km covering x km of the distance by flying and the rest by driving then the cost of the trip is :

Options

A. Rs. 2000
B. Rs. 24000
C. Rs. (8x + 400)
D. Rs. (12x + 400)

Answer

To solve the problem step by step, we will calculate the total cost of the trip based on the distance traveled by flying and driving.

### Step 1: Define the variables
Let:
- \( x \) = distance traveled by flying (in km)
- \( 200 - x \) = distance traveled by driving (in km)

### Step 2: Calculate the cost of flying
The cost to fly is Rs. 10 per km. Therefore, the cost of flying \( x \) km is:
\[ \text{Cost of flying} = 10 \times x = 10x \text{ Rs.} \]

### Step 3: Calculate the cost of driving
The cost to drive is Rs. 2 per km. Therefore, the cost of driving \( 200 - x \) km is:
\[ \text{Cost of driving} = 2 \times (200 - x) = 400 - 2x \text{ Rs.} \]

### Step 4: Calculate the total cost of the trip
Now, we can find the total cost of the trip by adding the cost of flying and the cost of driving:
\[ \text{Total Cost} = \text{Cost of flying} + \text{Cost of driving} \]
\[ \text{Total Cost} = 10x + (400 - 2x) \]
\[ \text{Total Cost} = 10x + 400 - 2x \]
\[ \text{Total Cost} = 8x + 400 \text{ Rs.} \]

### Final Answer
The total cost of the trip is:
\[ \text{Total Cost} = 8x + 400 \text{ Rs.} \]