The population of a city increases by 20% every year. If the population of the city in 2001 was 4 lakh, what will its population be in 2004 ? Options are (a) 635420 (b) 685200 (c) 691200 (d) 675120 .

Options

A. `635420`
B. `685200`
C. `691200`
D. `675120`

Answer

To find the population of the city in 2004, we will calculate the population for each year from 2001 to 2004, taking into account the annual increase of 20%.

1. **Population in 2001**:
- Given: Population = 4 lakh (400,000)

2. **Calculate population for 2002**:
- Increase = 20% of 400,000
- Increase = 0.20 × 400,000 = 80,000
- Population in 2002 = 400,000 + 80,000 = 480,000

3. **Calculate population for 2003**:
- Increase = 20% of 480,000
- Increase = 0.20 × 480,000 = 96,000
- Population in 2003 = 480,000 + 96,000 = 576,000

4. **Calculate population for 2004**:
- Increase = 20% of 576,000
- Increase = 0.20 × 576,000 = 115,200
- Population in 2004 = 576,000 + 115,200 = 691,200

Thus, the population of the city in 2004 will be **691,200**.

### Final Answer:
(c) 691200

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