The price index of rice in 2014 relative to 2010 in 110 . If the price of rice Rs. 10 per kg in 2010 , then the price in 2014 is

Answer

To find the price of rice in 2014 based on the given price index relative to 2010, we can follow these steps:

### Step 1: Understand the Price Index Formula
The price index formula is given by:
\[ \text{Price Index} = \frac{P_1}{P_0} \times 100 \]
where:
- \( P_1 \) = Price in the current year (2014)
- \( P_0 \) = Price in the base year (2010)

### Step 2: Substitute Known Values
From the question, we know:
- The price index in 2014 relative to 2010 is 110.
- The price of rice in 2010 (\( P_0 \)) is Rs. 10 per kg.

Substituting these values into the formula:
\[ 110 = \frac{P_1}{10} \times 100 \]

### Step 3: Simplify the Equation
To isolate \( P_1 \), we first divide both sides by 100:
\[ \frac{110}{100} = \frac{P_1}{10} \]
This simplifies to:
\[ 1.1 = \frac{P_1}{10} \]

### Step 4: Solve for \( P_1 \)
Now, multiply both sides by 10 to find \( P_1 \):
\[ P_1 = 1.1 \times 10 \]
Calculating this gives:
\[ P_1 = 11 \]

### Conclusion
The price of rice in 2014 is Rs. 11 per kg.

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