Sam bought some apples by the pound. He sold half the apples for $50\%$ more per pound than his purchase price. He then sold half of the remaining apples for $25\%$ more per pound than his purchase price. He then sold the remaining 650 pounds of apples for $25\%$ less per pound than his purchase price. If he had $\$2600$ in total sales, what was Sam's purchase price, in cents per pound, for the apples?