SOLUTION: a man sold 100 eggs.Eighty of them were sold at a profit of 30 percent while the rest were sold at loss of 40 percent.What is the percentage gain or loss on the whole stock?

Question 622213: a man sold 100 eggs.Eighty of them were sold at a profit of 30 percent while the rest were sold at loss of 40 percent.What is the percentage gain or loss on the whole stock?

Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!

Suppose he paid x cents for each egg. So his total cost was 100x cents.

He sold 80 at x+30%x cents each or 1x+.30x or 1.30x, so he took in 80(1.30x)
or 104x cents for those 80 eggs.

He sold 20 at x-40%x each or 1x-.40x or 0.60x, so he took in 20(0.60x)
or 12x cents for those 20 eggs.

So he took in a total of 104x+12x or 116x, so his profit was 116x-100x
cents or 16x cents.

16x cents is  or 16% of the 100x cents he paid for the 100
eggs.

Answer: 16% gain.

Edwin

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