Question

Huhhhhh... How can you be increasing and decreasing? Someone explain this to me lol.

After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.

Answer 1

The percent of increase is x/100

Explanation:

Let us have the original price as $100

So, what this mean is that to be at this price, the price was formerly at 100 + x%

Mathematically, the price before reduction will be;

100 + x/100

So, we want to calculate the percentage increase

Mathematically, that will be the marked up price minus the original divided by the original * 100%

We have this as;

((100 + x/100) - 100))/100 * 100%

= x/100/100 * 100%

= x/10,000 * 100

= 100x/10,000

= x/100