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`2/9` part of the population in a village are males. If 30% of the males are married, the percentage of unmarried

females in the total population is :


Options:
A .  20%
B .  `27 7/9`%
C .  40%
D .  70%
Answer: Option B

Let total population =  `x`, Then, number of males = `5/9 x`

Married males = 30% of `5/9 x = (30/100 xx 5/9 x)  =  x/6`

Married females = `x/6` Number of females = `(x - 5/9 x) =  (4x)/(9)`

Unmarried females = `((4x)/(9) - x/6)=  (5x)/(18)`

`:.`   Required  percentage = `((5x)/(18) xx 1/x xx 100)`% =  `27 7/9`%



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