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The male population of a city has increased by 20% from the previous year, while the female population has increased by
42.5%. If the total population of the city has increased by 30%, then the female population of the city was what percentage of
male population in the previous year?
60%
80%
90%
70%
- Let's denote the previous male population as M and the previous female population as F.
- The current male population is 1.2M, due to a 20% increase.
- The current female population is 1.425F, due to a 42.5% increase.
- The overall population increased by 30%, thus the total current population is 1.3(M + F).
- Equate the total current population: 1.2M + 1.425F = 1.3(M + F).
- From the equation, we get: 1.2M + 1.425F = 1.3M + 1.3F.
- Rearrange it to: 0.125F = 0.1M.
- This simplifies to: F = 0.8M.
- Therefore, the female population was 80% of the male population in the previous year.
Answer: Option 2 - 80%
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