Two successive percentage decreases of 25% each is by what percentage less than two successive percentage increases of 25% each? (Round to two decimal places.)

Two successive percentage decreases of 25%

Two successive percentage increases of 25%

The formula for successive percentage change:

Net Percentage Change = $$x \pm y \pm \frac{x \times y}{100}$$​​

Successive 25% increase:

Net Change = $$25 + 25 + \frac{25 \times 25}{100} = 56.25\%$$​​

Successive 25% decrease:

Net Change = $$-25 + -25 + \frac{(-25) \times (-25)}{100} = -43.75\%$$ 

(-ve) sign indicates decrease. 

Now, 

Difference = 56.25 – 43.75 = 12.50

Percentage %   = $$\frac{12.50}{56.25}\times 100 = \bf 22.22\%$$​​