The population of a city is 20000. It increases by 20% during the first year and 30% during the second year. The population af ter two years will be:

Options

A. 32000
B. 40000
C. 31200
D. 30000

Answer

To find the population of the city after two years given the initial population and the percentage increases, we can follow these steps:

### Step 1: Calculate the population after the first year
- **Initial Population**: 20,000
- **Percentage Increase in the First Year**: 20%

To calculate the increase:
\[ \text{Increase} = \text{Initial Population} \times \frac{\text{Percentage Increase}}{100} = 20000 \times \frac{20}{100} = 20000 \times 0.20 = 4000 \]

Now, add this increase to the initial population:
\[ \text{Population after 1 year} = \text{Initial Population} + \text{Increase} = 20000 + 4000 = 24000 \]

### Step 2: Calculate the population after the second year
- **Population after the First Year**: 24,000
- **Percentage Increase in the Second Year**: 30%

To calculate the increase:
\[ \text{Increase} = \text{Population after 1 year} \times \frac{\text{Percentage Increase}}{100} = 24000 \times \frac{30}{100} = 24000 \times 0.30 = 7200 \]

Now, add this increase to the population after the first year:
\[ \text{Population after 2 years} = \text{Population after 1 year} + \text{Increase} = 24000 + 7200 = 31200 \]

### Final Answer
The population after two years will be **31,200**.

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