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prealgebra intermediate

Problem

A house and store were sold for each. The house was sold at a loss of of the cost, and the store at a gain of of the cost. The entire transaction resulted in:
(A)
(B)
(C)
(D)
Solution
Denote the original price of the house and the store as and , respectively. It is given that , and that . Thus, , , and . This value is higher than the current price of the property, . Hence, the transaction resulted in a .
Final answer
B