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

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To find out the overall gain or loss of the man, we need to calculate the net result of the profit and loss on the two articles. Let's assume the selling price of each article is $100.

On the first article, the man earns a 25% profit. This means that 25% of the selling price is his profit, which is $100 * 25/100 = $25.

On the second article, the man incurs a 25% loss. This means that 25% of the selling price is his loss, which is $100 * 25/100 = $25.

Now, to calculate the net result, we subtract the loss from the profit:

$25 (profit) - $25 (loss) = $0

Therefore, the man has neither gained nor lost money overall by selling these two articles at the same price.