Problem Solving

Magoosh

A marketer bought \(N\) crates of empty cardboard gift boxes. Each crate held \(Q\) individual gift boxes, and the lot of \(N\) crates was purchased at a wholesale price of \(W\) dollars. This marketer will sell collections of \(J\) cardboard gift boxes to retailers, at a price of \(P\) dollars for each collection. (Note: \(J\) is a divisor of \(Q\)). The marketer knows that when he has sold all the cardboard gift boxes this way, he wants to net a total profit of \(Z\) dollars on the entire transaction. What price \(P\) must he charge, to net this profit? Express \(P\) in terms of \(N, Q, W, J\), and \(Z\).

A. \(\frac{J(Z - W)}{NQ}\)

B. \(\frac{J(Z + W)}{NQ}\)

C. \(\frac{Q(Z - W)}{NJ}\)

D. \(\frac{Q(Z + W)}{NJ}\)

E. \(\frac{N(Z - W)}{QJ}\)

OA B