A retail store that sells only shoes and accessories found that its revenues last month from those two categories could be expressed in the ratio x : y, respectively. If last month's total revenues were $4,000, what was the difference between revenues from shoes and revenues from accessories?

A. \(\frac{x}{x+y}\)

B. \(\frac{y}{x+y}\)

C. \($4,000 * \frac{x}{y}\)

D. \($4,000*\frac{x}{x+y}\)

E. \(\frac{$4,000*(x-y)}{x+y}\)

Any idea how to get to answer E?

This is how I am trying to solve

Let the revenue from shoes be \(5x\)and revenue from accessories be \(5y.\)

Total revenue = \(5x + 5y = 4000\)

Revenue from shoes = \(\frac{5x}{5x+5y}\)

Revenue from accessories = \(\frac{5y}{5x+5y}\)

Difference in revenues = \(\frac{5x}{5x+ 5y} - \frac{5y}{5x - 5y}\)

But this won't give me the right answer. Any thoughts why guys?

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E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730