Question

35% of the population of a town are man and 40% are woman if the number of children is 2000 then find the number of woman

Answer 1

total population is 8000 then 40% woman are 40×8000÷100 = 3200

Answer 2

let the population of town be x
So population of men = 35%
population of women = 40%

population of both = 35 +40
=75%
That means population of children = x-75% of x
= x - 75/100 × x = 2000
= x - 3/4 × x. = 2000
We take the LCM= 4
= 4x -3x/4 =2000
= x/4 = 2000
= x= 2000×4
= 8000

That means total population = 8000
So, The population of women = 40% of 8000
= 40/100 × 8000
= 3200

Therefore, the population of women is 3200.
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