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prealgebra intermediate

Problem

A farmer bought sheep. He sold of them for the price paid for the sheep. The remaining sheep were sold at the same price per head as the other . Based on the cost, the percent gain on the entire transaction is:
(A)
(B)
(C)
(D)
Solution
Let us say each sheep cost dollars. The farmer paid for the sheep. He sold of them for , so each sheep sold for . Since every sheep sold for the same price per head, and since every sheep cost and sold for , there is an increase of , or , which is option
Final answer
C