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The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. what was the number of males in the village ?
A4000
B3000
C2500
D2000
Answer: Option (Login/Signup)
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STEP-BY-STEP
Let no. of men be x
and no. of women be 5000 - x
Population increased from 5000 to 5600
i.e. 600
men increased % = 10% of x
And women increased % = 15% of (5000 - x)
so, 10% x + 15%(5000 - x) = 600
10/100 + 15/100(5000 - x) =600
10x + 75000 - 15x = 60000
-5x = -15000
x = 3000
So, the no. of males = 3000.
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