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
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A marketer bought \(N\) crates of empty cardboard gift boxes
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Jay@ManhattanReview
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Total no. of individual gift boxes = NQ;AAPL wrote: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
Amount paid to buy \(N\) crates of empty cardboard gift boxes = $W;
Total no. of collections = NQ/J;
Total sales = $(NQ/J)*P;
Profit = (NQ/J)*P - W = Z
=> P = J(Z + W)/NQ
The correct answer: B
Hope this helps!
-Jay
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Scott@TargetTestPrep
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Since J is a divisor of Q, Q/J gives us the number of collections of J gift boxes in one crate and Q/J * N = NQ/J gives us the number of collections of J gift boxes in N crates. So we can create the equation:AAPL wrote: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
P * NQ/J - W = Z
P * NQ/J = Z + W
P = (Z + W) * J/(NQ)
P = J(Z + W)/(NQ)
Answer: B
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