The wholesale price index (or price relative) of rice in 2012 compared to 2010 is 130. If the cost of rice was Rs 12 per kg in 2010, calculate the cost in 2012.

Options

A. (i) `16.50`
B. (ii) `16.00`
C. (iii) `15.60`
D. (iv) `15.00`

Answer

To solve the problem, we need to calculate the cost of rice in 2012 given the wholesale price index (WPI) and the cost in 2010.

### Step-by-Step Solution:

1. **Identify the given values:**
- Cost of rice in 2010 = Rs 12 per kg
- Wholesale Price Index (WPI) for 2012 compared to 2010 = 130

2. **Understand the formula for WPI:**
The WPI 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 2012.

3. **Set up the equation:**
Let the cost of rice in 2012 be Rs P per kg. According to the WPI formula:
\[ 130 = \left( \frac{P}{12} \right) \times 100 \]

4. **Rearrange the equation to solve for P:**
Multiply both sides by 12:
\[ 130 = \frac{P \times 100}{12} \]
\[ 130 \times 12 = P \times 100 \]
\[ 1560 = P \times 100 \]

5. **Isolate P:**
Divide both sides by 100:
\[ P = \frac{1560}{100} \]
\[ P = 15.60 \]

6. **Conclusion:**
Therefore, the cost of rice in 2012 is Rs 15.60 per kg.

### Final Answer:
The cost of rice in 2012 is Rs 15.60 per kg.

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