A company X has offices in four locations A, B, C and D. The figure

Question

https://gmatclub.com/forum/download/file.php?id=54655 A company X has offices in four locations – A, B, C and D. The figure above represents a circle graph of X’s profits from each of the four locations in April 2010. One-thirds of companies profits in were registered from B while one-fourths of its profits were registered from A. Were the profits from the location C of the company more than the profits from location D of the company? (1) x > y (2) The sum of the profits from A and D combined were larger than the sum of the profits from B and C combined. 1.png

yashikaaggarwal · Answer

IMO should Be D

Let the profit generated be 360°
B has 1/3 proportion so B=360°*1/3=120
A has 1/4 proportion so A=360°*1/4=80

We need to know whether C>D or not. That means 360-120-80=200°
C proportion is bigger among 200
Given C=y and D=X

Statement 1: X>Y
D>C 
Answer is definitely No
(Sufficient)

Statement 2: A+D>B+C
80+D>120+C
D>40+C
D is Bigger.
So again answer is definitely No.(sufficient)

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Shubhi09 · Answer

Let x be total profit
Statement 1- 
A=1/4 x, B=1/3x
So C+D can be calculated
Given X>Y, larger angle, larger area it aweeps in circle
So A is sufficient

Statement B
Given B+C>A+D
Since B>A and B= 1/12 +A, 
Put this in given statement, you’ll get
1/3+ C> 1/4 +D

Sufficient

Answer is D

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IanStewart · Answer

Statement 1 is immediately sufficient, because the angle at the center of the graph is directly proportional to the profits.

Statement 2 tells us that D + 1/4 > C + 1/3, where D and C are the fractions of profits from each division. So D > C + 1/12, and if D is greater than C + 1/12 then D > C must be true, so Statement 2 is also sufficient and the answer is D.

Alternatively for Statement 2, you can notice that A, B, C and D combined account for all of the company profits, so if A and D combined produced more profit than B and C combined, then A and D together account for more than 1/2 the profit, and B and C combined account for less than half. Since A accounts for 1/4 of the profit, D must then account for more than 1/4 of the profit, and since B accounts for 1/3 of the profit, C must account for less than 1/6 of the profit, and D > C must be true.

GMATWhizTeam · Answer

Solution 
 Step 1: Analyse Question Stem 
 • Given circle graph represents profit of company X from 4 locations A, B, C, and D.
• Let the total profit of Company X be P. 
• In a circle or pie chart quantity represented by a sector is proportional to the angle subtended by it at the center of the circle.
 o Thus,  P = 360°  
• Also, let us assume that B and A subtend an angle b and a at the center of the circle graph respectively. 
• B registered one third of X’s profit 
 o  ⟹ b = \frac{360}{3 }= 120°  
• A registered one fourth of the X’s profit.
 o  ⟹ a = \frac{360}{4 }= 90°  
• We need to find if profits from location C > Profits from location D.
 o Or, we need to find that if  y > x

Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE 
 Statement 1:  x > y
 • This is directly in line with our pre-analysis.
 o Thus, profits from location C < Profits from location D.  
Hence, statement 1 is sufficient and we can eliminate answer Options B, C and E.

Statement 2:  The sum of the profits from A and D combined were larger than the sum of the profits from B and C combined.
 • According to this statement:   90 + x > 120 +y ⟹ x > 30 + y ⟹ x > y  
Hence, statement 2 is also sufficient and the correct answer is  Option D.

sambitspm · Answer

See the attachment

A company X has offices in four locations A, B, C and D. The figure

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A company X has offices in four locations A, B, C and D. The figure

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