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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] New post 04 Mar 2012, 13:25
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (02:18) correct 13% (01:37) wrong based on 71 sessions
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 5xand 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

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Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610 :-(

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Re: Shoes & Accessories [#permalink] New post 04 Mar 2012, 14:03
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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{x}{x+y};

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

Answer: E.
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Re: A retail store that sells only shoes and accessories found [#permalink] New post 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] New post 12 Jun 2013, 07:27
Hi Bunuel
Please explain

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
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Re: A retail store that sells only shoes and accessories found [#permalink] New post 12 Jun 2013, 08:12
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prasannajeet wrote:
Hi Bunuel
Please explain

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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Manager
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Joined: 26 Feb 2012
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Location: India
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Kudos [?]: 12 [0], given: 56

Re: A retail store that sells only shoes and accessories found [#permalink] New post 13 Jun 2013, 02:04
Hi Bunuel

Thanx and +1 Kudos to you...
Re: A retail store that sells only shoes and accessories found   [#permalink] 13 Jun 2013, 02:04
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