Vikram purchased a TV for Rs. 13,500 including sales tax. If the rate of sales tax is 8%, then the list price of the TV is ____. (in Rs.)

Options

A. 13100
B. 12800
C. 12500
D. 11950

Explanation

To find the list price of the TV purchased by Vikram for Rs. 13,500 including sales tax at a rate of 8%, we can follow these steps:

### Step 1: Understand the relationship between the list price, sales tax, and total price.
The total price (including sales tax) can be expressed as:
\[ \text{Total Price} = \text{List Price} + \text{Sales Tax} \]
Where the sales tax is a percentage of the list price.

### Step 2: Express the sales tax in terms of the list price.
If the list price is denoted as \( P \), then the sales tax can be calculated as:
\[ \text{Sales Tax} = \frac{8}{100} \times P = 0.08P \]
Thus, the total price can also be expressed as:
\[ \text{Total Price} = P + 0.08P = 1.08P \]

### Step 3: Set up the equation using the total price.
Given that Vikram purchased the TV for Rs. 13,500, we can set up the equation:
\[ 1.08P = 13,500 \]

### Step 4: Solve for the list price \( P \).
To find \( P \), divide both sides of the equation by 1.08:
\[ P = \frac{13,500}{1.08} \]

### Step 5: Calculate the value of \( P \).
Now, performing the division:
\[ P = \frac{13,500}{1.08} \approx 12,500 \]

### Conclusion:
The list price of the TV is Rs. 12,500.

---