Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result

The original would be the greater one of the two.

Step-by-step explanation:

Refer to the diagram attached.

of is equivalent to .

Reducing by is the same as subtracting from . The "result" would be .

Since the "result" is , of the "result" would be .

Adding of the "result" to the result would be the same as adding to , which gives .

Thus, the original would be greater than the decreased by and then increased by of the result.