If 80% employees of a company play soccer, what percent of the employe...
Steps 1 & 2: Understand Question and Draw Inferences
We are given that 80% employees of a company play soccer. We have to find the percentage of the employees who play golf.
Since this question only talks about the percentage, not the absolute numbers, let’s say the number of employees in the company is 100.
80% of these employees play soccer. Now, these 80% employees include the employees who play only soccer and the employees who play soccer and golf both.
So, the employees who play soccer = 80% of 100 = 80
Let’s say the number of employees who play both soccer and golf = x
Thus, the number of employees who play only soccer = 80 – x
Also, let the number of employees who play only golf = y
If there are any employees who play neither soccer nor golf = 20 – y
The total number of employees who play golf = x + y
We have to find the value of (x + y).
Step 3: Analyze Statement 1
Statement (1) says: 25% of the employees who play soccer also play golf.
The number of employees who play soccer and golf is x.
Per this statement:
x = 25% of 80
x = 20 ………….. (1)
However, since we do not know the value of y, we cannot get the value of (x + y).
Hence, statement (1) is not sufficient to answer the question: What is the value of (x + y)?
Step 4: Analyze Statement 2
Statement (2) says: 50% of the employees who play golf also play soccer.
The employees who play golf and soccer are (x + y). 50% of these employees also play soccer. Out of these (x + y) employees, the employees who play soccer = x
50% of (x + y) = x
x + y = 2x
y = x …… (2)
However, we don’t know the value of x and y. so, we can’t determine the value of (x + y).
Hence, statement II is not sufficient to answer the question: What is the value of (x + y)?
Step 5: Analyze Both Statements Together (if needed)
Since step 3 and step 4 were not able to provide the answer to the question, let’s analyse both the statements together:
Statement (1):
x = 20 ………….. (1)
Statement (2):
y = x ………… (2)
Thus,
y = 20
Hence,
x + y = 20 + 20 = 40
So, statement (1) and (2) combined are sufficient to answer the question.
Answer: Option (C)