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?

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Question 622212: 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can pick any price at which the man
bought the eggs. I will say he paid $1
each for them, or $100 for 100 eggs.
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So, he paid $80 for 80 eggs. If he sold
them at 30% profit, +.3%2A80+=+24+
He sold them for +80+%2B+24+=+104+ dollars
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He bought the remainder, 20 eggs for
$20. If he lost 40%, he lost +.4%2A20+=+8
So, he sold them for +20+-+8+=+12+ dollars
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So, he received +104+%2B+12+=+116+ dollars
+116%2F100+=+1.16+
His percentage gain was +.16%2A100+ = 16%