Question 761446
Let {{{ c }}} = the cost price
Let {{{ s }}} = the selling price
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(1) {{{ s = c + .25c }}}
(2) {{{ c + .3c = s + 50 }}}
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Substitute (1) into (2)
(2) {{{ c + .3c = c + .25c + 50 }}}
(2) {{{ 1.3c = 1.25c + 50 }}}
(2) {{{ .05c = 50 }}}
(2) {{{ 5c = 5000 }}}
(2) {{{ c = 1000 }}}
and
(1) {{{ s = c + .25c }}}
(1) {{{ s = 1.25c }}}
(1) {{{ s = 1.25*1000 }}}
(1) {{{ s = 1250 }}}
The selling price is $1,250
check:
(2) {{{ c + .3c = s + 50 }}}
(2) {{{ 1.3*1000 = 1250 + 50 }}}
(2) {{{ 1300 = 1300 }}}
OK