Sikar population Ist year `20%` increase, Iind year `25%` increase and IIIrd year `30%` decrease. Find the population after 3 year. If present population is `60000`.

Options

A. `63,000`
B. `64,000`
C. `68,000`
D. `66,000`

Answer

To find the population of Sikar after three years given the initial population and the percentage changes each year, we can follow these steps:

### Step 1: Identify the initial population
The initial population of Sikar is given as 60,000.

### Step 2: Calculate the population after the first year
In the first year, there is a 20% increase in the population.
- To calculate the increase:
\[ \text{Increase} = \text{Initial Population} \times \frac{20}{100} = 60000 \times 0.20 = 12000 \]
- Therefore, the population at the end of the first year:
\[ \text{Population after 1st year} = \text{Initial Population} + \text{Increase} = 60000 + 12000 = 72000 \]

### Step 3: Calculate the population after the second year
In the second year, there is a 25% increase on the new population (72,000).
- To calculate the increase:
\[ \text{Increase} = 72000 \times \frac{25}{100} = 72000 \times 0.25 = 18000 \]
- Therefore, the population at the end of the second year:
\[ \text{Population after 2nd year} = 72000 + 18000 = 90000 \]

### Step 4: Calculate the population after the third year
In the third year, there is a 30% decrease on the new population (90,000).
- To calculate the decrease:
\[ \text{Decrease} = 90000 \times \frac{30}{100} = 90000 \times 0.30 = 27000 \]
- Therefore, the population at the end of the third year:
\[ \text{Population after 3rd year} = 90000 - 27000 = 63000 \]

### Final Result
The population of Sikar after three years is **63,000**.

---