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In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, what was the original population
of the village?


Sagot :

[tex]\bold{\boxed{\huge{\blue{\underline{Answer }}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\sf{The\: population\: is\: decreased \:by\: 10 percent }[/tex]

[tex]\sf{There\: were \: only \: 1800 \: people \: left}[/tex]

[tex]\bold{\underline{ To\: Find :- }}[/tex]

[tex]\sf{we \: have \: to \: find\: original \: population? }[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

[tex]\sf{Let \: the \: total \: population\: be \: x }[/tex]

[tex]\sf{\underline{ Therefore }}[/tex]

[tex]\sf{According \: to \: the \: question }[/tex]

[tex]\sf{ x - 10/100 = 1800 }[/tex]

[tex]\sf{ 100x - 10/100 = 1800}[/tex]

[tex]\sf{ 100x - 10 = 1800 × 100}[/tex]

[tex]\sf{100x - 10 = 180000}[/tex]

[tex]\sf{ 100x = 180000 + 10}[/tex]

[tex]\sf{ x = 180010/100}[/tex]

[tex]\sf{ x = 1800.1 }[/tex]

[tex]\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}[/tex]