The price index of a commodity is 140. Then, the percentage increase in price of the commodity in current year as compared to the base year is :

Options

A. (i) `4%`
B. (ii) `40%`
C. (iii) `20%`
D. (iv) `10%`

Answer

To solve the problem of finding the percentage increase in the price of a commodity given a price index of 140, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Price Index**: The price index is a measure that compares the current price of a commodity to its price in a base year. In this case, the price index is given as 140.

2. **Set Up the Formula**: The formula to calculate the percentage increase in price is:
\[ \text{Percentage Increase} = \frac{\text{Current Price Index} - \text{Base Year Price Index}}{\text{Base Year Price Index}} \times 100 \]

3. **Identify the Base Year Price Index**: The base year price index is typically set at 100. Therefore, we can substitute this value into our formula:
- Current Price Index = 140
- Base Year Price Index = 100

4. **Substitute Values into the Formula**:
\[ \text{Percentage Increase} = \frac{140 - 100}{100} \times 100 \]

5. **Calculate the Difference**:
\[ 140 - 100 = 40 \]

6. **Divide by the Base Year Price Index**:
\[ \frac{40}{100} = 0.4 \]

7. **Convert to Percentage**:
\[ 0.4 \times 100 = 40\% \]

8. **Conclusion**: The percentage increase in the price of the commodity in the current year compared to the base year is **40%**.

### Final Answer:
The percentage increase in price of the commodity in the current year as compared to the base year is **40%**.

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