Question
The population of a town increased by 20%, while the
female population decreased by 10%. If the initial ratio of males to females population was 3:2, then find the percentage change in the male population.Solution
Let initial male population and initial female population be 3x and 2x respectively
Total initial population = 3x + 2x = 5x
After 20% increase, total population = 5x × 1.2 = 6x
Decreased female population = 2x × 0.9 = 1.8x
So, increased male population = 6x − 1.8x = 4.2x
Percentage change in male population = {(4.2x − 3x) / 3x} × 100
= (1.2x / 3x) × 100
= 40%
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