A village population every year `2%` increase find the population after `2` year ? If present population is `40000`.

Options

A. `45,000`
B. `44,000`
C. `48,400`
D. `46,000`

Answer

To find the population of the village after 2 years with an annual increase of 2%, we can follow these steps:

### Step 1: Identify the Present Population
The present population of the village is given as 40,000.

### Step 2: Calculate the Population After 1 Year
To calculate the population after 1 year, we need to apply the 2% increase to the present population.

\[ \text{Population after 1 year} = \text{Present Population} \times \left(1 + \frac{2}{100}\right) \]

Substituting the present population:

\[ \text{Population after 1 year} = 40000 \times \left(1 + 0.02\right) = 40000 \times 1.02 = 40800 \]

### Step 3: Calculate the Population After 2 Years
Now, we will apply the 2% increase again to the population after 1 year.

\[ \text{Population after 2 years} = \text{Population after 1 year} \times \left(1 + \frac{2}{100}\right) \]

Substituting the population after 1 year:

\[ \text{Population after 2 years} = 40800 \times \left(1 + 0.02\right) = 40800 \times 1.02 = 41616 \]

### Final Answer
The population of the village after 2 years will be **41,616**.

---