Posted by **Michelle** on Tuesday, July 5, 2011 at 6:19pm.

A merchant buys cloth at $1.60 per yard. At what price per yard should he list the cloth so that he may sell it at a discount of 20% from the list price and still make a profit of 20% of the SALE PRICE?

- Math -
**MathMate**, Wednesday, July 6, 2011 at 8:53am
If she makes 20% off the sale price, then 80% of the sale price is his cost.

So first find the sale price, s:

80% : $1.60

100% : s

Use cross multiplication to solve for s:

s=100*$1.60/80=$2.00

Since the sale price was after 20% discount, so again it is 80% of the list price. To calculate the list price L, we use proportions and cross multiplications:

80% : $2.00

100 : L

L=$2.00*100/80=$2.50

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