The bus fare increases in the ratio 5:11. Find the increase in the fare, if the original fare rs.275

Options

A. a. rs.605
B. b. rs.121
C. c. rs.330
D. d. rs.242

Answer

To solve the problem of finding the increase in the bus fare given that it increases in the ratio of 5:11 and the original fare is Rs. 275, we can follow these steps:

### Step 1: Understand the ratio
The fare increases from 5 parts to 11 parts. This means that the original fare (5 parts) is Rs. 275.

### Step 2: Set up the equation
Let the original fare be represented as \( 5x \) and the new fare as \( 11x \). According to the problem, we have:
\[ 5x = 275 \]

### Step 3: Solve for \( x \)
To find the value of \( x \), we divide both sides of the equation by 5:
\[ x = \frac{275}{5} \]
Calculating this gives:
\[ x = 55 \]

### Step 4: Calculate the new fare
Now that we have \( x \), we can find the new fare, which is \( 11x \):
\[ 11x = 11 \times 55 = 605 \]

### Step 5: Calculate the increase in fare
The increase in fare is the difference between the new fare and the original fare:
\[ \text{Increase} = \text{New Fare} - \text{Original Fare} = 605 - 275 \]
Calculating this gives:
\[ \text{Increase} = 330 \]

### Final Answer
The increase in the fare is Rs. 330.

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