Let cost of first article be x
then cost of second article will be
560−x Profit percent on first is =
x× loss percent on second is =
(560−x)× Because profit = loss we can equate above
⇒x×=
(560−x)× ⇒=(560−x)× Multiply both sides of the equation by 20, the least common multiple of 10,20.
2x=20(560−x)×() 2x=3(560−x) Use the distributive property to multiply 3 by
560−x 2x=1680−3x Add
3x to both sides.
2x+3x=1680 Combine
2x and
3x to get
5x 5x=1680 ⇒ x = 336
and second article is 560-336 = 224