Question

Jacob claims that an increase of 5% of a number followed by a decrease of 10% is equivalent to a decrease of 10% followed by an increase of 5%. Is he correct? If not provide proof that he is wrong

Answer 1

[AI-generated answer — Bot GPT 3.5]

Jacob is not correct.

Let's use a specific number to demonstrate this.

Let's start with the number 100.

When we increase 5% of 100, we get 105. Then, when we decrease 10% of 105, we get 94.5.

Now, if we start with 100 again and decrease 10%, we get 90. Then, when we increase 5% of 90, we get 94.5.

Since 94.5 is not equal to 94.5, we can conclude that Jacob's claim is incorrect.