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The male population of a village increases by 10% every year from 2017 to 2019 and the female population increases by 25% every year from 2017 to 2019. If the total population of the village in 2019 becomes 27020 and the ratio of male to the female population in 2017 was 3 : 2, then what was the total population of the village in 2017?

The male population of a village increases by 10% every year from 2017 to 2019 and the female population increases by 25% every year from 2017 to 2019. If the total population of the village in 2019 becomes 27020 and the ratio of male to the female population in 2017 was 3 : 2, then what was the total population of the village in 2017? Correct Answer 14500

Given:

The male population of a village increases by 10% every year from 2017 to 2019 and the female population increases by 25% every year from 2017 to 2019.

If the total population of the village in 2019 becomes 27020 and the ratio of male to the female population in 2017 was 3 : 2

Calculation:

Let male and female population in 2017 be ‘300x’ and ‘200x’ respectively.

Total male population % increase in 2 years = 10 + 10 + 100/100 = 21%

After two years it increased by = 100 + 21 = 121%

Total female population % increase in 2 years = 25 + 25 + 625/100 = 56.25%

Male population in 2019 = 300x × (121/100)2 = (300x × 1.21)2 = 439.23x

Female population in 2019 = 200x × (1.5625)2 = 488.28x

According to the question,

439.23x + 488.28x = 27020

⇒ 927.51x = 29.13 ≈ 29

Total population of village in 2017 = 300x + 200x = 500x = 500 × 29 = 14500

∴ total population of village in 2017 was 14500.

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