Suppose that, at current exchange rates, \(\$1\) (US) is equivalent to \(Q\) euros, and \(1\) euro is equivalent to \(7Q

[Vincen]

Suppose that, at current exchange rates, \(\$1\) (US) is equivalent to \(Q\) euros, and \(1\) euro is equivalent to \(7Q\) Chinese Yuan. Suppose that \(K\) kilograms of Chinese steel, worth \(F\) Chinese Yuan per kilogram, sold to a German company that paid in euros, can be fashioned into \(N\) metal frames for chairs. These then are sold to an American company, where plastic seats & backs will be affixed to these frames. If the German company made a total net profit of \(P\) euros on this entire transaction, how much did the US company pay in dollars for each frame?

(A) \(\dfrac{KF}{7NQ^2}+\dfrac{P}{NQ}\)

(B) \(\dfrac{KF}{7NQ}-\dfrac{P}{N}\)

(C) \(\dfrac{KF}{7NQ}+\dfrac{PQ}{N}\)

(D) \(7QKF-\dfrac{P}{N}\)

(E) \(7Q^2KF+\dfrac{PQ}{N}\)

Answer: A

Source: Magoosh