Question 575970
Let {{{ n }}} = the number
the number increased by 12% is:
{{{ n + .12n }}}
Now this number decreased by 12% is:
{{{ n + .12n - .12*( n + .12n ) }}}
given:
{{{ n + .12n - .12*( n + .12n ) = 86.7328 }}}
{{{ n + .12n - .12n - .0144n = 86.7328 }}}
{{{ n - .0144n = 86.7328 }}}
{{{ .9856n = 86.7328 }}}
{{{ n = 86.7328/.9856 }}}
{{{ n = 88 }}}
check:
{{{ n + .12n - .12*( n + .12n ) }}}
{{{ 88 + .12*88 - .12*( 88 + .12*88 ) }}}
{{{ 88 + 10.56 - .12*( 88 + 10.56 ) }}}
{{{ 98.56 - .12*98.56 }}}
{{{ 98.56 - 11.8272 }}}
{{{ 86.7328 }}}
OK