The prices of Bajaj Scooter and Bajaj Pulser are in the ratio of 4:9. If the bajaj Pulser costs Rs. 30,000 more than a Bajaj Scooter, the price of Bajaj Pulser is :

Options

A. Rs. 63000
B. Rs. 45000
C. Rs. 54000
D. Rs. 60000

Answer

To solve the problem, we will follow these steps:

### Step 1: Define the Variables
Let the price of the Bajaj Scooter be represented as \(4x\) and the price of the Bajaj Pulsar be represented as \(9x\), based on the given ratio of 4:9.

### Step 2: Set Up the Equation
According to the problem, the price of the Bajaj Pulsar is Rs. 30,000 more than the price of the Bajaj Scooter. Therefore, we can set up the equation:
\[ 9x = 4x + 30,000 \]

### Step 3: Solve for \(x\)
Now, we will solve for \(x\) by isolating it on one side of the equation:
\[ 9x - 4x = 30,000 \]
\[ 5x = 30,000 \]
\[ x = \frac{30,000}{5} = 6,000 \]

### Step 4: Calculate the Price of Bajaj Pulsar
Now that we have the value of \(x\), we can find the price of the Bajaj Pulsar:
\[ \text{Price of Bajaj Pulsar} = 9x = 9 \times 6,000 = 54,000 \]

### Final Answer
The price of the Bajaj Pulsar is Rs. 54,000.

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