Question

Let p be a fixed integer between 1 and 50. If the number 80 is decreased by p%, and this result is then increased by p%, the final value obtained

Answer 1

the final value obtained is 80, regardless of the value of p.

Explanation:

Let's assume the fixed integer p is a percentage value between 1 and 50.

When the number 80 is decreased by p%, it becomes:

80 - (p/100) * 80 = 80(1 - p/100)

When this result is increased by p%, it becomes:

80(1 - p/100) + (p/100) * 80 = 80(1 - p/100 + p/100) = 80

Therefore, the final value obtained is 80, regardless of the value of p.