If 80% employees of a company play soccer, what percent of the employe

Question

If 80% employees of a company play soccer, what percent of the employees play golf?

(1) 25% of the employees who play soccer also play golf.

(2) 50% of the employees who play golf also play soccer.

Archit3110 · Answer

let total employees= 100
given 80 play soccer
---S---NS ---total
G-- --- ----
NG-- --- ---- 
total 80-- 20--100

#1 
25% of the employees who play soccer also play golf.

---S---NS ---total
G-- 20--- X----
NG-- 60--- ---- 
total 80-- 20--100
Value of X can be 20 or 0 ; insufficient
#2
50% of the employees who play golf also play soccer
---S---NS ---total
G-- .5X--- ---- X
NG-- --- ---- 
total 80-- 20--100
but X is not know 
insufficient
from 1&2
---S---NS ---total
G-- 20 --- 20  -40
NG-- 60--- 0---- 60
total 80-- 20--100
20 is answer 
OPTION C ; sufficient

Eduardo86 · Answer

Bunuel can you explain with a table please?

AkshZ · Answer

STATEMENT 1
1/4S=BOTH
therefore, S=4B
given, S=80 ; 80=4B ; B=20 INSUFFICIENT( DONT KNOW 'G' YET)

STATEMENT 2
1/2G=BOTH 
Therefore, G=2B INSUFFICIENT (DONT HAVE 'B')

COMBINE 
G=2*20= 40

LeenaSai · Answer

Hello Archit ,

How did you do that? Can you explain

Posted from my mobile device

cvengq · Answer

Let T be the total number of employees.
Soccer playing S = 0.8T,
Soccer and Golf Players = X
Non-players = Y
Golf players as G

Statement 1 - 25% of Soccer Player also play Golf = X = 0.25*0.8T = 0.2T
Therefore total of soccer playing alone S is 0.8T - 0.2T = 0.6T
So in the Equation S + X + G + Y = T
0.6T + 0.2T + G + Y = T
G + Y = 0.2T 
Therefore 2 unknowns, Golf and non-players cannot solve. Insufficient

Statement 2 - 50% of Golf players, also play soccer. 
X & Y is unknown at this time. So therefore cannot solve for G either. Insufficient

Both Statements together 
Ratio of G to X is 1 to 1 (50% play Golf Only, 50% play both golf and soccer)
Therefore G = 0.2T
Hence using the equation S + X + G + Y = T
0.6T + 0.2T + 0.2T + Y = T
T + Y = T
Therefore Y = 0 (as in there is no non-players)
Answer is definitive, therefore both statement together is sufficient.

Is this explanation clear? Or you can use a Venn Diagram to answer.

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If 80% employees of a company play soccer, what percent of the employe

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GMAT Data Sufficiency (DS) Questions

If 80% employees of a company play soccer, what percent of the employe

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