In 2005, did Company \(A\) have more than twice the number of employees as did Company \(B?\)

[VJesus12]

In 2005, did Company \(A\) have more than twice the number of employees as did Company \(B?\)

(1) In 2005, Company \(A\) had 11,500 more employees than did Company \(B.\)
(2) In 2005, the 3,000 employees with advanced degrees at Company \(A\) made up 12.5 percent of that company’s total number employees, and the 2,500 employees with advanced degrees at Company \(B\) made up 20 percent of that company’s total number of employees.

[spoiler]OA=B[/spoiler]

Source: Princeton Review

[deloitte247]

i.e is A>2B in 2005?
Statement 1=> In 2005, Company had 11,500 more employees than did Company
A = B + 11,500.
The exact value of A and B are unknown, so, we cannot estimate the value of A and B.

Statement 2 => In 2005, the 3,000 employees with advanced degrees at Company made up 12.5 percent of that company’s total number employees and the 2,500 employees with advanced degrees at Company made up 20 percent of that company’s total number of employees.

12.5% of A = 500
20% of B = 2500
$$\frac{12.5}{100}\cdot A=3000$$
$$A=3000\cdot\frac{100}{12.5}=24,000$$
$$\frac{20}{100}\cdot A=2500$$
$$A=2500\cdot\frac{100}{20}=12,500$$
2B = 12500 * 2 = 25,000
Here, A < 2B, therefore, statement 2 alone is SUFFICIENT. Hence, option B is the correct answer.