Barbells Sale

Jasper sold one set of barbells for 99 euros (he’s Dutch, remember), and he made a 10% profit on the deal. He sold a second set for 99 euros, but this time he took a 10% loss. Counting the two sales together, did he gain, lose, or come out even?


Show/Hide Solution

Let x be the cost of the first set of weights.
Let y be the cost of the second set.

Cost  +  profit  =  selling price
x  +  0.10x  =  1.10x = €99 → x = €90.
y  –  0.10y  =  0.90y = €99 → y = €110.

The costs:   The selling
prices:
€90   €99
110   99
€200   €198

So Jasper had an overall loss of €2.

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