Is it a true or false you receive a pay raise of 3% hold later by a pay cut of 3% after the two changes and pay your salary is unchanged

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musiclover10045 musiclover10045 · Answer 1 · 2021-10-03T00:04:55+02:00

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.

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MrRoyal MrRoyal · Answer 2 · 2022-06-22T12:45:00+02:00

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