On certain consumable commodities, the total expenditure of a family was found to be Rs. 28,000 in the year 1994. If the cost of living index for the year 2000, taking 1994 as the base year, is 265, then the expenditure of the family, on the same quantities of consumable commodities, in the year 2000 is ____.

Options

A. Rs. 78,000
B. Rs. 79,000
C. Rs. 78,200
D. Rs. 74,200

Answer

To find the expenditure of the family on the same quantities of consumable commodities in the year 2000, we can use the formula for the cost of living index.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Total expenditure in the base year (1994) = Rs. 28,000
- Cost of living index for the year 2000 (taking 1994 as the base year) = 265

2. **Understand the Formula:**
The formula for the cost of living index (CLI) is given by:
\[ \text{CLI} = \frac{\text{Total Expenditure in Current Year}}{\text{Total Expenditure in Base Year}} \times 100 \]

3. **Set Up the Equation:**
Let \( x \) be the total expenditure in the current year (2000). According to the formula:
\[ 265 = \frac{x}{28000} \times 100 \]

4. **Rearrange the Equation:**
To find \( x \), we can rearrange the equation:
\[ x = 265 \times \frac{28000}{100} \]

5. **Calculate \( x \):**
Simplify the right side:
\[ x = 265 \times 280 \]
Now, perform the multiplication:
\[ x = 74,200 \]

6. **Conclusion:**
The expenditure of the family on the same quantities of consumable commodities in the year 2000 is Rs. 74,200.

### Final Answer:
The expenditure of the family in the year 2000 is **Rs. 74,200**.

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