Compute a price index for the following data by simple aggregate method.
`{:("Prices in 2008 (in ₹)", 20, 30, 25, 40, 50),("Price in 2010 (in ₹ )" , 25, 30, 35, 45, 55):}`

Answer

To compute a price index using the simple aggregate method, we can follow these steps:

### Step 1: List the Commodities and Their Prices
We have two sets of prices for different years:
- Prices in 2008 (P0):
- Commodity A: ₹20
- Commodity B: ₹30
- Commodity C: ₹25
- Commodity D: ₹40
- Commodity E: ₹50

- Prices in 2010 (P1):
- Commodity A: ₹25
- Commodity B: ₹30
- Commodity C: ₹35
- Commodity D: ₹45
- Commodity E: ₹55

### Step 2: Calculate the Total Price for Each Year
Now, we will calculate the total price for each year.

**Total Price in 2008 (P0):**
\[ \text{Total P0} = 20 + 30 + 25 + 40 + 50 = 165 \]

**Total Price in 2010 (P1):**
\[ \text{Total P1} = 25 + 30 + 35 + 45 + 55 = 190 \]

### Step 3: Apply the Simple Aggregate Price Index Formula
The formula for the simple aggregate price index (I) is given by:
\[ I = \left( \frac{\text{Total P1}}{\text{Total P0}} \right) \times 100 \]

Substituting the values we calculated:
\[ I = \left( \frac{190}{165} \right) \times 100 \]

### Step 4: Calculate the Price Index
Now, we will perform the calculation:
\[ I = \left( 1.1515 \right) \times 100 = 115.15 \]

### Final Answer
Thus, the price index computed by the simple aggregate method is **115.15**.

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