The wholesale price index of the rice in `2016` compared to `2010` is `148`. If the cost of rice was `Rs. 46` per kg in `2010`, calculate the cost in `2015`

Answer

To find the cost of rice in 2015, we can use the information provided about the wholesale price index and the cost of rice in 2010. Here’s the step-by-step solution:

### Step 1: Understand the Given Information
- The wholesale price index (WPI) of rice in 2016 compared to 2010 is 148.
- The cost of rice in 2010 was Rs. 46 per kg.

### Step 2: Set Up the Formula
The wholesale price index is calculated using the formula:
\[ \text{WPI} = \left( \frac{\text{Cost in Current Year}}{\text{Cost in Base Year}} \right) \times 100 \]
In this case, the base year is 2010, and the current year is 2016. We can rearrange this formula to find the cost in 2016:
\[ 148 = \left( \frac{P}{46} \right) \times 100 \]
where \( P \) is the cost of rice in 2016.

### Step 3: Rearranging the Formula
To isolate \( P \), we can rearrange the equation:
\[ P = \frac{148 \times 46}{100} \]

### Step 4: Calculate the Cost in 2016
Now, we can calculate \( P \):
\[ P = \frac{148 \times 46}{100} = \frac{6808}{100} = 68.08 \]
So, the cost of rice in 2016 is Rs. 68.08 per kg.

### Step 5: Find the Cost in 2015
Since we need to find the cost in 2015, we can assume that the price in 2015 is less than the price in 2016. However, we don't have a specific WPI for 2015. For this problem, we can assume that the price in 2015 is the same as the price in 2016 for simplicity, unless additional information is provided.

Thus, we can conclude:
\[ \text{Cost of rice in 2015} \approx 68.08 \text{ Rs. per kg} \]

### Final Answer:
The cost of rice in 2015 is approximately Rs. 68.08 per kg.

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