False.
Lets say your original pay was $100
You get a 3% pay raise so that now makes your pay: 100 x 1.03 = $103
Now from 103 you get a 3% pay cut so after the pay cut your pay would be:
103 x (100%-3%) = 100 x 97% = 100 x 0.97 = $99.91
99.91 is less than your original pay of 100.
The statement that your salary is unchanged after the two changes is false
Let the salary by represented as:
Salary = x
When you receive a raise of 3%, the salary becomes
New = x * (1 + 3%)
When you receive a cut of 3%, the salary becomes
New = x * (1 + 3%) * (1 - 3%)
Evaluate the product
New = 0.9991x
Recall that the initial salary is x.
Hence, the statement that your salary is unchanged after the two changes is false
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