Answer: As we can see, the final salary after the 10% pay cut and 10% pay raise is $99,000, which is not equal to the original salary of $100,000. Therefore, the boss's statement that "we're all even" is not correct.
Explanation:
Let's choose a salary of $100,000 for this example.
If everyone takes a 10% pay cut, then the new salary would be:
$100,000 - 10% of $100,000 = $100,000 - $10,000 = $90,000.
Now, if everyone gets a 10% pay raise on the reduced salary of $90,000, the new salary would be:
$90,000 + 10% of $90,000 = $90,000 + $9,000 = $99,000.