Train fare between Nagpur and Nasik for one adult is three times the train fare for one child. If adult's train fare is Rs. 102/-, how much amount will be paid by 3 adults and 4 children together for travelling the same distance ?

Options

A. Rs.432
B. Rs. 5321
C. Rs. 6121
D. Rs. 442

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Determine the fare for one child.
We know that the fare for one adult is three times the fare for one child. Given that the adult's fare is Rs. 102, we can set up the equation:

\[ \text{Fare of one child} = \frac{\text{Fare of one adult}}{3} = \frac{102}{3} \]

### Step 2: Calculate the fare for one child.
Now, we perform the calculation:

\[ \text{Fare of one child} = \frac{102}{3} = 34 \]

### Step 3: Calculate the total fare for 3 adults.
Now that we know the fare for one adult is Rs. 102, we can calculate the total fare for 3 adults:

\[ \text{Total fare for 3 adults} = 3 \times \text{Fare of one adult} = 3 \times 102 = 306 \]

### Step 4: Calculate the total fare for 4 children.
Next, we calculate the total fare for 4 children using the fare we found for one child:

\[ \text{Total fare for 4 children} = 4 \times \text{Fare of one child} = 4 \times 34 = 136 \]

### Step 5: Calculate the total amount paid by 3 adults and 4 children.
Finally, we add the total fare for adults and children together:

\[ \text{Total amount} = \text{Total fare for 3 adults} + \text{Total fare for 4 children} = 306 + 136 = 442 \]

### Final Answer:
The total amount paid by 3 adults and 4 children together is Rs. 442.

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