Question

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?

Answer 1

$\bold{\boxed{\huge{\blue{\underline{Answer }}}}}$

$\bold{\underline{ Given :- }}$

$\sf{The\: population\: is\: decreased \:by\: 10 percent }$

$\sf{There\: were \: only \: 1800 \: people \: left}$

$\bold{\underline{ To\: Find :- }}$

$\sf{we \: have \: to \: find\: original \: population? }$

$\bold{\underline{ Let's \: Begin :- }}$

$\sf{Let \: the \: total \: population\: be \: x }$

$\sf{\underline{ Therefore }}$

$\sf{According \: to \: the \: question }$

$\sf{ x - 10/100 = 1800 }$

$\sf{ 100x - 10/100 = 1800}$

$\sf{ 100x - 10 = 1800 × 100}$

$\sf{100x - 10 = 180000}$

$\sf{ 100x = 180000 + 10}$

$\sf{ x = 180010/100}$

$\sf{ x = 1800.1 }$

$\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}$