Quantity Index Number by Simple Aggregate Method is given by

Options

A. `(sum(q_1))/(sum(q_0))xx100`
B. `(sum(q_0))/(sum(q_1))xx100`
C. `(sum(q_1))/(sum(q_0))xx100`
D. `(sum(q_0))/(sum(q_1))xx100`

Answer

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

### Step-by-Step Solution:

1. **Define the Variables**:
- Let \( Q_0 \) be the base quantity.
- Let \( Q_1 \) be the current quantity.

2. **Formula for Quantity Index Number**:
- The Quantity Index Number (QIN) using the Simple Aggregate Method is given by the formula:
\[ QIN = \left( \frac{\sum Q_1}{\sum Q_0} \right) \times 100 \]

3. **Calculate the Summation**:
- Calculate the total of the current quantities \( \sum Q_1 \).
- Calculate the total of the base quantities \( \sum Q_0 \).

4. **Substitute the Values**:
- Substitute the calculated values of \( \sum Q_1 \) and \( \sum Q_0 \) into the formula.

5. **Calculate the Index Number**:
- Perform the division and then multiply by 100 to get the Quantity Index Number.

### Example Calculation (Hypothetical Values):
- Suppose \( \sum Q_1 = 500 \) and \( \sum Q_0 = 400 \).
- Then,
\[ QIN = \left( \frac{500}{400} \right) \times 100 = 125 \]

### Conclusion:
- The Quantity Index Number by the Simple Aggregate Method is calculated as shown above.

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