The average daily income of workers of a factory including that of the onwer in Rs 110. However, if the income of the owner is excluded, the average daily income of the remaining 9 workers is Rs 76. What is the daily income of the owner?

Options

A. Rs 300
B. Rs 316
C. Rs 322
D. Rs 416

Explanation

To solve the problem, we will follow these steps:

1. **Identify the total number of individuals**:
- There are 9 workers plus the owner, making a total of 10 individuals.

2. **Calculate the total income including the owner**:
- The average daily income of all 10 individuals (workers + owner) is Rs 110.
- Therefore, the total income of all 10 individuals is:
\[ \text{Total Income} = \text{Average Income} \times \text{Number of Individuals} = 110 \times 10 = 1100 \text{ Rs} \]

3. **Calculate the total income of the 9 workers**:
- The average daily income of the 9 workers (excluding the owner) is Rs 76.
- Therefore, the total income of the 9 workers is:
\[ \text{Total Income of Workers} = \text{Average Income of Workers} \times \text{Number of Workers} = 76 \times 9 = 684 \text{ Rs} \]

4. **Calculate the daily income of the owner**:
- The income of the owner can be found by subtracting the total income of the workers from the total income of all individuals:
\[ \text{Income of Owner} = \text{Total Income} - \text{Total Income of Workers} = 1100 - 684 = 416 \text{ Rs} \]

Thus, the daily income of the owner is **Rs 416**.