math
posted by vaidehi on .
a man sell two articles at the same price on one he earn 25% profit and on other he incures 25% loss overall he gets?

selling price of each  x
cost price of first = x/1.25
cost price of 2nd = x/9
total cost price = x/1.25 + x/.9
= 4x/5 + 10x/9 = 86x/45
profit / loss = selling price/cost price
= 2x / (86x/45)
= 2(45/86) = 1.0465...
so he made a profit of 4.65%
e.g. suppose he sold both at $100
then he bought the first at 100/1.25 or $80
and he bought the 2nd at 100/.9 = 111.11
So his total cost price was 191.11
and he sold at 200
200/191.11 = 1.0465