A number increases by 50%, and then decreases by 50%. What is the percent of change from the original number to the final number? Is it an increase or a decrease?

Question

Mathematics

Efrain Frost

6 January, 18:18

A number increases by 50%, and then decreases by 50%. What is the percent of change from the original number to the final number? Is it an increase or a decrease?

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Answers (1)

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Evie Houston · Answer 1

The percent change will be a 25% decrease

Step-by-step explanation:

In order to find this, we can first call the original positive number a. Now to find how much it would be when we add 50% of that, we can create the following equation.

a +.5a = 1.5a

Now we need to take 50% of that result. To do that, we can multiply by. 5.

1.5a *.5 =.75a

Since the end result of the adding and subtracting 50% is. 75a, we know that it is just 75% of the original number.