The population of a town increases by 5% annually. If its population in 2011 is 1,38, 920 what it will be in 2012?

Options

A. `1,50000`
B. `1,45,866`
C. `1,40,000`
D. None of these

Answer

To find the population of the town in 2012 given that it increases by 5% annually, we can follow these steps:

### Step 1: Identify the population in 2011
The population of the town in 2011 is given as 138,920.

### Step 2: Calculate the increase in population
To calculate the increase in population for 2012, we need to find 5% of the population in 2011.

\[ \text{Increase} = \text{Population in 2011} \times \frac{5}{100} \]

\[ \text{Increase} = 138920 \times 0.05 \]

### Step 3: Perform the multiplication
Now, we perform the multiplication:

\[ \text{Increase} = 138920 \times 0.05 = 6946 \]

### Step 4: Calculate the population in 2012
Now, we add the increase to the population in 2011 to get the population in 2012.

\[ \text{Population in 2012} = \text{Population in 2011} + \text{Increase} \]

\[ \text{Population in 2012} = 138920 + 6946 \]

### Step 5: Perform the addition
Now, we perform the addition:

\[ \text{Population in 2012} = 138920 + 6946 = 145866 \]

### Final Answer
The population of the town in 2012 will be **145,866**.

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