Question 1054653
he sold two units of something for 1000 apiece.
on the first unit he gains 30%.
on the second unit he loses 20%.


let x = the cost of the first unit.
let y = the cost of the second unit.


you get:


x + .3 * x = 1000
y - .2 * y = 1000


simplify these equations to get:


1.3 * x = 1000
.8 * y = 1000


in the first equation, solve for x to get x = 1000 / 1.3 = 769.2307692.
in the second equation, solve for y to get y = 1000 / .8 = 1250.


your combined cost is x + y = 769.2307692 + 1250 = 2019.230769.


your combined sale price is 1000 + 1000 = 2000.


your combined gain is the combined sale price minus the combined cost which is 2000 - 2019.230769 which is equal to -19.230769.


since combined loss is the opposite of combined gain, then your combined loss becomes 19.230769.


your combined loss percent becomes equal to your combined loss divided by your combined cost * 100 which becomes equal to 19.230769 / 2019.230769 * 100 which becomes equal to .9523809411% which can be rounded to .95%.


that's your combined loss percent.