Aftter deducting a commission of 10% a Tv costs ₹ 18000, What is its gross value?

Options

A. `₹18800`
B. `₹20000`
C. `₹19800`
D. none of these

Answer

To find the gross value of the TV before the 10% commission was deducted, we can follow these steps:

### Step-by-step Solution:

1. **Understand the Problem**:
- The TV costs ₹18,000 after a 10% commission is deducted. We need to find the gross value (the original price before the commission).

2. **Identify the Percentage**:
- The commission is 10%, which means after deducting this commission, 90% of the original price remains.

3. **Set Up the Equation**:
- Let the gross value (original price) be represented as 100%.
- After deducting the 10% commission, the remaining value is 90% of the gross value.
- We know that 90% of the gross value equals ₹18,000.

4. **Write the Equation**:
- We can express this as:
\[ 90\% \text{ of Gross Value} = ₹18,000 \]
- In mathematical terms, this can be written as:
\[ 0.90 \times \text{Gross Value} = 18,000 \]

5. **Solve for Gross Value**:
- To find the gross value, we can rearrange the equation:
\[ \text{Gross Value} = \frac{₹18,000}{0.90} \]

6. **Calculate the Gross Value**:
- Performing the division:
\[ \text{Gross Value} = \frac{₹18,000}{0.90} = ₹20,000 \]

### Final Answer:
- The gross value of the TV is ₹20,000.