The population of a town is 198000. It decreases by 8% in the first year and increases by 5% in the second year What is the population of the town at the end of 2 years?

Options

A. 192168
B. 196218
C. 198612
D. None of these

Answer

To find the population of the town at the end of 2 years after a decrease of 8% in the first year and an increase of 5% in the second year, we can follow these steps:

### Step 1: Calculate the population after the first year
1. **Initial Population**: The population of the town is 198,000.
2. **Decrease in Population**: The population decreases by 8%. To find the decrease:
\[ \text{Decrease} = \frac{8}{100} \times 198000 = 0.08 \times 198000 \]
\[ \text{Decrease} = 15840 \]
3. **Population at the end of the first year**:
\[ \text{Population after 1st year} = 198000 - 15840 = 182160 \]

### Step 2: Calculate the population after the second year
1. **Increase in Population**: The population increases by 5% in the second year. To find the increase:
\[ \text{Increase} = \frac{5}{100} \times 182160 = 0.05 \times 182160 \]
\[ \text{Increase} = 9108 \]
2. **Population at the end of the second year**:
\[ \text{Population after 2nd year} = 182160 + 9108 = 191268 \]

### Final Result
The population of the town at the end of 2 years is **191,268**.

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