Question

In a town 45% of population are men , 30% women and remaining are children .If the number of children are 180000 , Find the total population of town and the number of men and women in town.
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Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• % of men = 45%
• % of women = 30%

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Total population = ??
• No. of men = ??
• No. of women = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

• Total %age = 100

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Percentage of children = Total - ( men% + women%)

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Percentage of children = 100 - ( 45 + 30 )

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Percentage of children = 100 - 75

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Percentage of children = 25%

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• let total no. of people be x

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$\sf: \implies{\bold{ 25\% of x = 180000}}$

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$\sf: \implies{\bold{ \dfrac{25}{100} of x = 180000}}$

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$\sf: \implies{\bold{ \dfrac{1}{4} of x = 180000}}$

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$\sf: \implies{\bold{ x = 180000 \times 4}}$

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$\sf: \implies{\bold{ x = 720000}}$

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$\sf{\red{\boxed{\bold{ Total\: people = 720000 }}}}$

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• Number of men

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$\sf: \implies{\bold{ 45\% of 720000 }}$

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$\sf: \implies{\bold{ \dfrac{45}{100} \times 720000}}$

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$\sf: \implies{\bold{ 45 \times 7200}}$

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$\sf: \implies{\bold{ x = 324000}}$

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$\sf{\red{\boxed{\bold{ Total\: men = 324000}}}}$

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• No. of women

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$\sf: \implies{\bold{ 30\% of 720000 }}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ \dfrac{30}{100} \times 720000}}$

⠀⠀

$\sf: \implies{\bold{ 30 \times 7200}}$

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$\sf: \implies{\bold{ x = 216000}}$

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$\sf{\red{\boxed{\bold{ Total\: women = 216000}}}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Total number of children in the town are 720000
• No. of women = 216000
• No. of men = 324000