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smc

prealgebra senior

Problem

A merchant buys goods at off the list price. He desires to mark the goods so that he can give a discount of on the marked price and still clear a profit of on the selling price. What percent of the list price must he mark the goods?
(A)
(B)
(C)
(D)
Solution
Without loss of generality, we can set the list price equal to . The merchant buys the goods for . Let be the marked price. We then use the equation to solve for and get a marked price of .
Final answer
A