By selling 130 cassetes, a man gains an amount equal to the selling price of 5 casesttes.Find the gain percent.

Answer

To find the gain percentage from selling 130 cassettes where the gain is equal to the selling price of 5 cassettes, we can follow these steps:

### Step-by-Step Solution:

1. **Let the Selling Price of 1 Cassette be x**:
- We denote the selling price of one cassette as \( x \).

2. **Calculate the Selling Price of 130 Cassettes**:
- The selling price of 130 cassettes is given by:
\[ \text{Selling Price (SP)} = 130 \times x = 130x \]

3. **Calculate the Gain**:
- The problem states that the gain is equal to the selling price of 5 cassettes. Therefore:
\[ \text{Gain} = \text{Selling Price of 5 cassettes} = 5 \times x = 5x \]

4. **Determine the Cost Price (CP)**:
- The cost price can be calculated using the formula:
\[ \text{Cost Price (CP)} = \text{Selling Price (SP)} - \text{Gain} \]
- Substituting the values we have:
\[ CP = 130x - 5x = 125x \]

5. **Calculate the Gain Percentage**:
- The gain percentage is calculated using the formula:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{Cost Price}} \right) \times 100 \]
- Substituting the values:
\[ \text{Gain Percentage} = \left( \frac{5x}{125x} \right) \times 100 \]
- Simplifying this:
\[ \text{Gain Percentage} = \left( \frac{5}{125} \right) \times 100 = \left( \frac{1}{25} \right) \times 100 = 4\% \]

### Final Answer:
The gain percentage is **4%**.

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