If a quantity increases by 25% and then decreases by 25% , will the result be the original qauntity

Question

I don't know the answer to this question  I just really really need help.

 

PLEASE!!!!!!!!!!!

Answer 1

Let A be the quantity.

A 25% increase means the value is A(1.25).

 

Now if the new price is decreased by 25% this means A(1.25)(1-.25) ≠ A.