In 2016 , the population of a certain village was 105250 . By January 2017 , it increased by 4315 . During this period , 9242 people left the village . What was the population of the village in January 2017 ?

Options

A. 100323
B. 118807
C. 110177
D. None of these

Answer

To find the population of the village in January 2017, we will follow these steps:

### Step 1: Identify the initial population
The population of the village in 2016 is given as:
\[ \text{Initial Population} = 105250 \]

### Step 2: Calculate the increase in population
The population increased by:
\[ \text{Increase} = 4315 \]

### Step 3: Calculate the new population after the increase
To find the population after the increase, we add the increase to the initial population:
\[ \text{Population after increase} = \text{Initial Population} + \text{Increase} \]
\[ \text{Population after increase} = 105250 + 4315 \]
\[ \text{Population after increase} = 109565 \]

### Step 4: Account for the people who left the village
During this period, 9242 people left the village. We need to subtract this number from the population after the increase:
\[ \text{People left} = 9242 \]

### Step 5: Calculate the final population in January 2017
Now, we subtract the number of people who left from the population after the increase:
\[ \text{Final Population} = \text{Population after increase} - \text{People left} \]
\[ \text{Final Population} = 109565 - 9242 \]
\[ \text{Final Population} = 100323 \]

Thus, the population of the village in January 2017 is:
\[ \text{Final Population} = 100323 \]