Answer:
Let's assume that "X" be the number of employees in 2000.
∵ it's given :
From 2000 to 2003: the number of employees increased by a factor of 1/4
From 2003 to 2006: the number of employees decreased by a factor of 1/3
∴ We can equate the following details:
X×(increase in employee)×(decrease in employee) = 100
X×([tex]1+\frac{1}{4}[/tex])×([tex]1-\frac{1}{3}[/tex]) = 100
X×([tex]\frac{5}{4}[/tex])×([tex]\frac{2}{3}[/tex]) = 100
X×([tex]\frac{10}{12}[/tex]) = 100
X = 100×([tex]\frac{12}{10}[/tex])
X = 120
Therefore, the correct option is (b)