Given `sum((P_(1))/(P_(0))xx100)=611.6` and Commodities are A,B,C,D and E then index number equal to

Options

A. `123.32`
B. `122.23`
C. `132.22`
D. `123.23`

Answer

To solve the problem, we need to calculate the index number using the given information. The formula for the index number using the Price Relative Method is:

\[ \text{Index Number} = \frac{\sum \left( \frac{P_1}{P_0} \times 100 \right)}{N} \]

where:
- \( P_1 \) is the price of the commodities in the current period,
- \( P_0 \) is the price of the commodities in the base period,
- \( N \) is the number of commodities.

### Step-by-step Solution:

1. **Identify the Given Values**:
- We are given that:
\[ \sum \left( \frac{P_1}{P_0} \times 100 \right) = 611.6 \]
- The number of commodities \( N = 5 \).

2. **Substitute the Values into the Formula**:
- Using the formula for the index number:
\[ \text{Index Number} = \frac{611.6}{5} \]

3. **Perform the Division**:
- Calculate the index number:
\[ \text{Index Number} = \frac{611.6}{5} = 122.32 \]

4. **Final Result**:
- The index number is:
\[ \text{Index Number} = 122.32 \]

### Final Answer:
The index number is **122.32**.