In 2001, what was the ratio of the number of employees in Company A to the number of employees in Company B?
(1) In 2001, Company A had 60 percent more employees than Company B had in 2000.
(2) In 2001, Company B had 20 percent more employees than it had in 2000
Let the number of employees in Company A in the year 2000 be A and that in Company B be B.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: In 2001, Company A had 60 percent more employees than Company B had in 2000.
As the number of employees in Company in 2000 is B, according to this statement, the number of employees in Company A in 2001 = 1.6B. However, we do not know anything about the number of employees in B in 2001, thus we cannot say anything about the ratio of the number of employees in Company A to the number of employees in Company B in 2001. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: In 2001, Company B had 20 percent more employees than it had in 2000
As per this statement, the number of employees in Company B in 2001 = 1.2B
However, we do not anything about the number of employees in Company A in 2001. Hence, we would not be able to calculate the ratio using this statement alone too.
Now, let's look at the combination of both these statements to see if we can arrive at the required answer:
Using Statement 1, we know: The number of employees in Company A in 2001 = 1.6B
Using Statement 2, we know: The number of employees in Company B in 2001 = 1.2B
Thus, the ratio of the number of employees in Company A to the number of employees in Company B in 2001 = 1.6B/1.2B = 4/3 (Answer)
Hence, the correct answer is
Option C - Both statements together are sufficient, but neither alone is.Hope this helps!
:)