Aryan purchased a Plasma TV for Rs. 92,000 including sales tax. Find the list price of the TV, if its sales tax is 15%.

Answer

To find the list price of the Plasma TV that Aryan purchased for Rs. 92,000 including a sales tax of 15%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**:
Aryan purchased a Plasma TV for Rs. 92,000, which includes a 15% sales tax. We need to find the list price (also known as the cost price) of the TV before the sales tax was added.

2. **Identify the Selling Price and Sales Tax Rate**:
- Selling Price (SP) = Rs. 92,000
- Sales Tax Rate (ST) = 15%

3. **Calculate the Total Percentage Including Sales Tax**:
The total percentage including sales tax can be calculated as:
\[ 100\% + 15\% = 115\% \]

4. **Set Up the Equation**:
Let the list price be \( x \). According to the problem, we have:
\[ \text{Selling Price} = \text{List Price} + \text{Sales Tax} \]
This can be expressed as:
\[ 92,000 = x + 0.15x \]
Which simplifies to:
\[ 92,000 = 1.15x \]

5. **Solve for the List Price**:
To find the list price \( x \), we rearrange the equation:
\[ x = \frac{92,000}{1.15} \]

6. **Calculate the List Price**:
Now, we perform the division:
\[ x = \frac{92,000}{1.15} = 80,000 \]

7. **Conclusion**:
The list price of the Plasma TV is Rs. 80,000.

### Final Answer:
The list price of the TV is Rs. 80,000.

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