The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr?

Options

A. 174984
B. 135996
C. 116656
D. 145820

Answer

To find the population of the town at the end of 2 years, we will follow these steps:

### Step 1: Calculate the population at the end of the first year.
1. **Initial Population**: The population of the town is 126,800.
2. **Increase in Population**: The population increases by 15% in the first year.
- To calculate the increase:
\[ \text{Increase} = \text{Initial Population} \times \frac{15}{100} = 126800 \times 0.15 = 19020 \]
3. **New Population**: Add the increase to the initial population:
\[ \text{Population after 1st year} = 126800 + 19020 = 145820 \]

### Step 2: Calculate the population at the end of the second year.
1. **Population after 1st Year**: The population at the end of the first year is 145,820.
2. **Decrease in Population**: The population decreases by 20% in the second year.
- To calculate the decrease:
\[ \text{Decrease} = \text{Population after 1st year} \times \frac{20}{100} = 145820 \times 0.20 = 29164 \]
3. **New Population**: Subtract the decrease from the population after the first year:
\[ \text{Population after 2nd year} = 145820 - 29164 = 116656 \]

### Final Answer:
The population of the town at the end of 2 years is **116,656**.

---