The population of a city increases by `30%` every year. If the present population is 338000, then what was the population of the city of two years ago ?

Options

A. 300000
B. 250000
C. 200000
D. 240000

Explanation

To find the population of the city two years ago, we can work backwards from the current population using the percentage increase.

### Step-by-Step Solution:

1. **Understand the Current Population**:
The current population of the city is given as 338,000.

2. **Identify the Percentage Increase**:
The population increases by 30% each year. This means that each year, the population is multiplied by 1.30 (which is 100% + 30%).

3. **Calculate the Population One Year Ago**:
To find the population one year ago, we can divide the current population by 1.30:
\[ \text{Population one year ago} = \frac{338,000}{1.30} \]
\[ = 260,000 \]

4. **Calculate the Population Two Years Ago**:
Now, we need to find the population two years ago. We will again divide the population one year ago by 1.30:
\[ \text{Population two years ago} = \frac{260,000}{1.30} \]
\[ = 200,000 \]

5. **Final Answer**:
Therefore, the population of the city two years ago was 200,000.

### Summary:
The population of the city two years ago was **200,000**.