The average revenues of 11 consecutive years of a company is rs.77 lakhs. if the average of first 6 years is rs.72 lakhs and that of last 6 years is rs.84 lakhs. What is the revenue for the sisth year.

Options

A. a. 91lakhs
B. b. 87lakhs
C. c. 89lakhs
D. d.none of these

Answer

To find the revenue for the 6th year based on the given averages, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the total revenue for 11 years:**
\[ \text{Total Revenue for 11 years} = \text{Average Revenue} \times \text{Number of Years} = 77 \text{ lakhs} \times 11 = 847 \text{ lakhs} \]

2. **Calculate the total revenue for the first 6 years:**
\[ \text{Total Revenue for first 6 years} = \text{Average Revenue} \times \text{Number of Years} = 72 \text{ lakhs} \times 6 = 432 \text{ lakhs} \]

3. **Calculate the total revenue for the last 6 years:**
\[ \text{Total Revenue for last 6 years} = \text{Average Revenue} \times \text{Number of Years} = 84 \text{ lakhs} \times 6 = 504 \text{ lakhs} \]

4. **Add the total revenues of the first 6 years and the last 6 years:**
\[ \text{Total Revenue for first 6 years} + \text{Total Revenue for last 6 years} = 432 \text{ lakhs} + 504 \text{ lakhs} = 936 \text{ lakhs} \]

5. **Since the 6th year is included in both the first 6 years and the last 6 years, we need to subtract the total revenue of 11 years from the combined total of the first and last 6 years to find the revenue for the 6th year:**
\[ \text{Revenue for 6th year} = (\text{Total Revenue for first 6 years} + \text{Total Revenue for last 6 years}) - \text{Total Revenue for 11 years} \]
\[ \text{Revenue for 6th year} = 936 \text{ lakhs} - 847 \text{ lakhs} = 89 \text{ lakhs} \]

### Final Answer:
The revenue for the 6th year is **89 lakhs**.

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