Value Index Number by Simple Aggregate Method is given by .........

Answer

To find the Value Index Number by the Simple Aggregate Method, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Base Values**:
- Let \( P_0 \) be the price of the commodity in the base year.
- Let \( Q_0 \) be the quantity of the commodity in the base year.

2. **Identify Current Values**:
- Let \( P_1 \) be the price of the commodity in the current year.
- Let \( Q_1 \) be the quantity of the commodity in the current year.

3. **Calculate Value in Base Year**:
- The value of the commodity in the base year is calculated as:
\[ \text{Value in Base Year} = P_0 \times Q_0 \]

4. **Calculate Value in Current Year**:
- The value of the commodity in the current year is calculated as:
\[ \text{Value in Current Year} = P_1 \times Q_1 \]

5. **Calculate Value Index Number**:
- The Value Index Number (VIN) can be calculated using the formula:
\[ \text{Value Index Number} = \frac{\text{Value in Current Year}}{\text{Value in Base Year}} \times 100 \]
- Substituting the values we calculated:
\[ \text{Value Index Number} = \frac{P_1 \times Q_1}{P_0 \times Q_0} \times 100 \]

### Final Answer:
The Value Index Number by the Simple Aggregate Method is given by:
\[ \text{Value Index Number} = \frac{P_1 \times Q_1}{P_0 \times Q_0} \times 100 \]