The salary of a person in the base year is ₹ 4,000 per annum and the current year salary is ₹ 6,000. If the CPI of the current year is 400, then rise his salary to maintain the same standard of living will be

Options

A. ₹ 16,000
B. ₹ 12,000
C. ₹ 10,000
D. ₹ 8,000

Answer

To solve the problem, we need to determine the rise in salary required to maintain the same standard of living based on the Consumer Price Index (CPI).

### Step-by-step Solution:

1. **Identify the Base Year Salary and Current Year Salary**:
- Base Year Salary (BYS) = ₹ 4,000
- Current Year Salary (CYS) = ₹ 6,000

2. **Identify the CPI of the Current Year**:
- Current Year CPI = 400

3. **Calculate the Required Salary to Maintain Standard of Living**:
- The formula to find the required salary to maintain the same standard of living is:
\[ \text{Required Salary} = \left( \frac{\text{CPI of Current Year}}{100} \right) \times \text{Base Year Salary} \]
- Plugging in the values:
\[ \text{Required Salary} = \left( \frac{400}{100} \right) \times 4000 = 4 \times 4000 = ₹ 16,000 \]

4. **Calculate the Increase in Salary**:
- The increase in salary needed is calculated as:
\[ \text{Increase in Salary} = \text{Required Salary} - \text{Current Year Salary} \]
- Plugging in the values:
\[ \text{Increase in Salary} = 16,000 - 6,000 = ₹ 10,000 \]

### Final Answer:
The rise in salary required to maintain the same standard of living is **₹ 10,000**.