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Printsmc
prealgebra intermediate
Problem
A merchant bought some goods at a discount of of the list price. He wants to mark them at such a price that he can give a discount of of the marked price and still make a profit of of the selling price. The per cent of the list price at which he should mark them is:
(A)
(B)
(C)
(D)
Solution
Let represent the cost of the goods, and let , , and represent the list, selling, and marked prices of the goods, respectively. Hence, we have three equations, which we need to manipulate in order to relate and : We find that . Hence, the percent of the list price which should be marked is .
Final answer
C