Two years ago there was a budget cut at Denny's job because the economy was down. Unfortunately, in order to keep his job, his salary had to be cut by 3%. Since Denny didn't want to lose his job, he took this deal. However, since the company is doing better now, Denny's boss told him "I'd like to increase your current salary by 3% so that you will be making the same amount that you did before our budget cut". Is the statement that Denny's boss told Denny true?

Question

Mathematics

Emma Pennington

11 February, 09:51

Two years ago there was a budget cut at Denny's job because the economy was down. Unfortunately, in order to keep his job, his salary had to be cut by 3%. Since Denny didn't want to lose his job, he took this deal. However, since the company is doing better now, Denny's boss told him "I'd like to increase your current salary by 3% so that you will be making the same amount that you did before our budget cut". Is the statement that Denny's boss told Denny true?

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Answers (1)

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Brock Ford · Answer 1

Not true!

Step-by-step explanation:

Let Denny's initial salary be x.

After the cut, his salary would be 0.97x.

When increasing his salary by 3%,

1.03 x 0.97x = 0.9991 x which is not the same as x.

Hence the statement is not true.