Question

In 2007, your salary increased by 5%. In 2008, you received a 5% pay cut. After these two changes, how does your salary compare to your original salary?
It is unchanged.
It is higher.
It is lower.
It depends on the original salary.
Not enough information to determine.

Answer 1

The answer is “It is higher “

Answer 2

The salary is lower (It is lower) after these two changes.

Given that,

• In 2007, salary increased by 5%
• in 2008, salary decreased by 5%
• Let the salary be X.

According to the scenario, computation of given data are as follows.

2007 Salary = $1X + (X \times 0.05)$

= 1.05X

2008 salary =  $1.05X -( 1.05X \times 0.05)$

= $1.05X - 0.0525X$

= 0.99X

So, After these two changes, salary is lower than original.

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