The population of a city is 250000.It is increasing at the rate of 2% every year.The growth in the population after 2 yr is?

Options

A. 2500
B. 10000
C. 252000
D. 10100

Answer

To find the growth in the population of a city after 2 years, given that the population is currently 250,000 and is increasing at a rate of 2% per year, we can follow these steps:

### Step 1: Calculate the population increase for the first year.
- The initial population is 250,000.
- The growth rate is 2%.

\[ \text{Population increase in the first year} = \text{Initial Population} \times \frac{\text{Growth Rate}}{100} \]

\[ = 250,000 \times \frac{2}{100} = 250,000 \times 0.02 = 5,000 \]

### Step 2: Calculate the new population at the end of the first year.
- Add the population increase to the initial population:

\[ \text{Population at the end of the first year} = \text{Initial Population} + \text{Population Increase} \]

\[ = 250,000 + 5,000 = 255,000 \]

### Step 3: Calculate the population increase for the second year.
- Now, the population at the beginning of the second year is 255,000.

\[ \text{Population increase in the second year} = \text{Population at the end of the first year} \times \frac{\text{Growth Rate}}{100} \]

\[ = 255,000 \times \frac{2}{100} = 255,000 \times 0.02 = 5,100 \]

### Step 4: Calculate the new population at the end of the second year.
- Add the population increase for the second year to the population at the end of the first year:

\[ \text{Population at the end of the second year} = \text{Population at the end of the first year} + \text{Population Increase in the second year} \]

\[ = 255,000 + 5,100 = 260,100 \]

### Step 5: Calculate the total growth in population after 2 years.
- Subtract the initial population from the population at the end of the second year:

\[ \text{Total Growth} = \text{Population at the end of the second year} - \text{Initial Population} \]

\[ = 260,100 - 250,000 = 10,100 \]

### Final Answer:
The growth in the population after 2 years is **10,100**.

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