Question 1136508
s is the sale price and c is the cost.


when selling at a 20% loss, s = .8 * c


selling for 800 more gets a 5% profit.


s + 800 = 1.05 * c


in this second equation, replace s with .8 * c to get:


.8 * c + 800 = 1.05 * c


subtract .8 * c from both sides to get 800 = .25 * c


solve for c to get c = 3200


when selling at a 20% loss, s = .8 * 3200 = 2560.


when selling at 800 more than 2560, s = 3360.


profit is (3360 - 3200) / 3200 = 160 / 3200 = .05 = 5%.


the cost price is 3200.