The population of a village is 10000. In one year, male population increase by…
2025
The population of a village is 10000. In one year, male population increase by 6% and female population by 5%. If population at the end of the year is 10540, find size of male population in the village (originally).
- A.
6000
- B.
5000
- C.
4000
- D.
8000
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Show answer & explanation
Correct answer: C
Let the original male population be x. Then the original female population is 10000 - x.
After one year:
Male population becomes 1.06x.
Female population becomes 1.05(10000 - x).
The total after one year is therefore 1.06x + 1.05(10000 - x) = 10540.
Expand: 1.06x + 10500 - 1.05x = 10540
Simplify: 0.01x + 10500 = 10540
0.01x = 40
x = 4000
Therefore the original male population is 4000.