The formula `p_(01)=(sump_1q_0)/(sump_0q_0)xx100` is for

Options

A. Laspeyre’s Price Index Number
B. Paasche’s Price Index Number
C. Fisher’s Price Index Number
D. Walsh’s Price Index Number

Answer

To determine the type of price index number represented by the formula \( p_{01} = \left( \frac{\sum p_1 q_0}{\sum p_0 q_0} \right) \times 100 \), we can break down the components of the formula step by step.

### Step-by-Step Solution:

1. **Understanding the Variables**:
- Let \( P_0 \) represent the prices in the base year.
- Let \( Q_0 \) represent the quantities in the base year.
- Let \( P_1 \) represent the prices in the current year.
- Let \( Q_1 \) represent the quantities in the current year.

2. **Identifying the Formula**:
- The formula \( p_{01} = \left( \frac{\sum p_1 q_0}{\sum p_0 q_0} \right) \times 100 \) indicates that we are using the current prices \( P_1 \) multiplied by the base quantities \( Q_0 \) in the numerator.
- The denominator consists of the base prices \( P_0 \) multiplied by the base quantities \( Q_0 \).

3. **Interpreting the Formula**:
- The numerator \( \sum p_1 q_0 \) calculates the total value of the goods at current prices using base year quantities.
- The denominator \( \sum p_0 q_0 \) calculates the total value of the goods at base prices using base year quantities.

4. **Identifying the Price Index**:
- This formula is used to calculate the **Laspeyres Price Index**, which measures the change in price level by comparing the current price of a fixed basket of goods (base quantities) to the price of the same basket in the base year.

### Conclusion:
The formula \( p_{01} = \left( \frac{\sum p_1 q_0}{\sum p_0 q_0} \right) \times 100 \) is for the **Laspeyres Price Index**.