A retail store that sells only shoes and accessories found : GMAT Problem Solving (PS)
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# A retail store that sells only shoes and accessories found

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A retail store that sells only shoes and accessories found [#permalink]

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04 Mar 2012, 13:25
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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. $$\frac{4,000*(x-y)}{x+y}$$ 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? [Reveal] Spoiler: OA _________________ Best Regards, E. MGMAT 1 --> 530 MGMAT 2--> 640 MGMAT 3 ---> 610 GMAT ==> 730 Math Expert Joined: 02 Sep 2009 Posts: 37105 Followers: 7252 Kudos [?]: 96495 [2] , given: 10751 Re: Shoes & Accessories [#permalink] ### Show Tags 04 Mar 2012, 14:03 2 This post received KUDOS Expert's post 1 This post was BOOKMARKED 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 $$4,000*\frac{x}{x+y}$$;

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

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Re: A retail store that sells only shoes and accessories found [#permalink]

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05 Mar 2013, 10:18
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enigma123 wrote:
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. $$\frac{4,000*(x-y)}{x+y}$$

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.
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Re: A retail store that sells only shoes and accessories found [#permalink]

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12 Jun 2013, 07:27
Hi Bunuel

Share of revenues from shoes in total revenues is , hence revenues from shoes is ;4000*x/x+y
Share of revenues from accessories in total revenues is , hence revenues from accessories is ;4000*y/x+y

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Prasannajeet
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Re: A retail store that sells only shoes and accessories found [#permalink]

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12 Jun 2013, 08:12
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prasannajeet wrote:
Hi Bunuel

Share of revenues from shoes in total revenues is , hence revenues from shoes is ;4000*x/x+y
Share of revenues from accessories in total revenues is , hence revenues from accessories is ;4000*y/x+y

Rgds
Prasannajeet

Say x=1 and y=3. Total of 1+3=4 parts:
Share of shoes = 1/(1+3)=1/4 --> revenue 1/4*4000=1000.
Share of accessories = 3/(1+3) = 3/4 --> revenue 3/4*4000=3000.

Difference = 2000.
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Re: A retail store that sells only shoes and accessories found [#permalink]

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13 Jun 2013, 02:04
Hi Bunuel

Thanx and +1 Kudos to you...
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Re: A retail store that sells only shoes and accessories found [#permalink]

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19 Jan 2015, 04:46
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Re: A retail store that sells only shoes and accessories found [#permalink]

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14 Aug 2016, 11:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A retail store that sells only shoes and accessories found   [#permalink] 14 Aug 2016, 11:55
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