During the first year the population of a village increased by 5% and during the second year it diminished by 5%. At the end of the second year its population was 47,880. What was the population at the beginning of the first year?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 48000.
Let the population at the beginning of the first year be P.
Population at the end of the first year = P × (1 + 5/100) = 1.05P.
Population at the end of the second year = 1.05P × (1 - 5/100) = 0.9975P.
Given, population at the end of the second year = 47,880.
Therefore, 0.9975P = 47,880. P = 47,880 / 0.9975. P ≈ 48,000.
Therefore, the population at the beginning of the first year was 48,000.
The answer is 48,000.