after deducting a commission of 5% a moped costs ₹ 15200 what is its gross value ?

Answer

To find the gross value of the moped after a 5% commission has been deducted, we can follow these steps:

### Step-by-Step Solution

1. **Understand the Problem**: We know that after deducting a 5% commission, the moped costs ₹15,200. We need to find the gross value (original cost) before the commission was deducted.

2. **Set Up the Equation**: Let the gross value (original cost) of the moped be represented by \( x \). Since a 5% commission is deducted, the remaining value is 95% of \( x \). This can be expressed as:
\[ 95\% \text{ of } x = 15200 \]
In mathematical terms, this can be written as:
\[ \frac{95}{100} \times x = 15200 \]

3. **Solve for \( x \)**: To find \( x \), we can rearrange the equation:
\[ x = \frac{15200 \times 100}{95} \]

4. **Calculate \( x \)**:
- First, calculate \( 15200 \times 100 \):
\[ 15200 \times 100 = 1520000 \]
- Next, divide \( 1520000 \) by \( 95 \):
\[ x = \frac{1520000}{95} \approx 16000 \]

5. **Conclusion**: The gross value of the moped is ₹16,000.

### Final Answer
The gross value of the moped is ₹16,000.

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