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The present population of the villages is 6200. If the number of males increases by 12% and the number…

The correct choice is: 3200 Let males = \(M\), females = \(F\), with \(M + F = 6200\). Increase in population \(= 7072 - 6200 = 872 = 0.12M + 0.16F\). Since \(0.12(M+F) =…

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The present population of the villages is 6200. If the number of males increases by 12% and the number of female increases by 16%, then the population will become 7072. What is the present population of females in the village ?

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Correct answer A

The correct choice is: 3200

Let males = MM, females = FF, with M+F=6200M + F = 6200.

Increase in population =7072−6200=872=0.12M+0.16F= 7072 - 6200 = 872 = 0.12M + 0.16F.

Since 0.12(M+F)=7440.12(M+F) = 744, we get 0.04F=872−744=1280.04F = 872 - 744 = 128, so F=3200F = 3200.

Hence the answer is 3200.

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