During the first year, the population of a village is increased

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During the first year, the population of a village is increased by 5% and the second year, it is diminished by 5%. At the end of the second year, its population was 47880. What was the population at the beginning of the first year ?

1. 45500
2. 48000
3. 43500
4. 53000

Correct Option: B

Let the population at the beginning of the first year be N .
Then, according to the question,
N x [1+ 5/100] x [1 - 5/100] = 47880
⇒ N x (105/100) x (95/100) = 47880
∴ N = 47880 x (100/105) x (100/95) = 48000