During a certain period the cost of living index number goes from `150` to `180` and salary of a worker is also raised from `Rs.13000` to `Rs.18000` . The real wage of the employee in the current year is

Options

A. (a) `Rs.10000`
B. (b) `Rs.15000`
C. (c) `Rs.18000`
D. (d) none of these

Answer

To find the real wage of the employee in the current year, we will follow these steps:

### Step 1: Identify the given values
- Cost of living index in the base year (C1) = 150
- Cost of living index in the current year (C2) = 180
- Salary of the worker in the base year (S1) = Rs. 13,000
- Salary of the worker in the current year (S2) = Rs. 18,000

### Step 2: Write the formula for real wage
The formula for calculating the real wage in the current year is:
\[ \text{Real Wage} = \frac{\text{Salary in Current Year}}{\text{Cost of Living Index in Current Year}} \times 100 \]

### Step 3: Substitute the values into the formula
Substituting the values we have:
\[ \text{Real Wage} = \frac{S2}{C2} \times 100 = \frac{18000}{180} \times 100 \]

### Step 4: Simplify the calculation
Now, we simplify the fraction:
\[ \frac{18000}{180} = 100 \]
Thus,
\[ \text{Real Wage} = 100 \times 100 = 1000 \]

### Step 5: Convert to rupees
Since we need the real wage in terms of rupees, we multiply by 10:
\[ \text{Real Wage} = Rs. 10,000 \]

### Conclusion
The real wage of the employee in the current year is Rs. 10,000.