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04 Mar 2012, 14:25
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:59) correct
15%
(02:08)
wrong
based on 404
sessions
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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. \(\frac{$4,000*(x-y)}{x+y}\)
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?
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?
04 Mar 2012, 15:03
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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. \(\frac{$4,000*(x-y)}{x+y}\)
The revenues from shoes and accessories were in the ratio x:y;
Share of revenues from shoes in total revenues is \(\frac{x}{x+y}\), hence revenues from shoes is \(4,000*\frac{x}{x+y}\);
Share of revenues from accessories in total revenues is \(\frac{y}{x+y}\), hence revenues from accessories is \(4,000*\frac{y}{x+y}\);
Difference: \(4,000*\frac{x}{x+y}-4,000*\frac{y}{x+y}=\frac{4,000(x-y)}{x+y}\).
Answer: E.
A. \(\frac{x}{x+y}\)
B. \(\frac{y}{x+y}\)
C. \($4,000 * \frac{x}{y}\)
D. \($4,000*\frac{x}{x+y}\)
E. \(\frac{$4,000*(x-y)}{x+y}\)
The revenues from shoes and accessories were in the ratio x:y;
Share of revenues from shoes in total revenues is \(\frac{x}{x+y}\), hence revenues from shoes is \(4,000*\frac{x}{x+y}\);
Share of revenues from accessories in total revenues is \(\frac{y}{x+y}\), hence revenues from accessories is \(4,000*\frac{y}{x+y}\);
Difference: \(4,000*\frac{x}{x+y}-4,000*\frac{y}{x+y}=\frac{4,000(x-y)}{x+y}\).
Answer: E.
General Discussion
05 Mar 2013, 11:18
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enigma123
Nothing extra to add. But in case any one wants to gain some extra seconds, put x=y=1, i.e. they both have equal revenue. Thus their difference would be 0. Only option E satisfies that condition.
E.
