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

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

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.

shreyans0311 · Answer

Bunuel

why did we assume that there is no employee who plays none of the games?

Bunuel · Answer

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

Let the total number of employees be 100.

So 80 employees play soccer. We need to determine how many play golf.

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

25% of 80 = 20

So 20 employees play both soccer and golf. But we still do not know the total number who play golf.

Not sufficient.

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

This tells us that half of all golf players are also soccer players, but we do not know how many employees that represents.

Not sufficient.

(1) + (2)

From (1), 20 employees play both.

From (2), those 20 employees represent 50% of all golf players.

So:

20/0.5 = 40

Thus, 40% of the employees play golf.

Sufficient.

Answer: C.

We do not need to assume that every employee plays at least one of the two sports.

From (1), 20% play both soccer and golf. From (2), this 20% represents half of all golf players, so 40% play golf. This calculation works regardless of whether some employees play neither sport.

As it turns out, 80% + 40% - 20% = 100%, so the information actually implies that every employee plays at least one of the two sports. But this is a  conclusion , not an assumption needed to solve the question.

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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