Question

What single percentage change is equivalent to a 7% decrease followed by a 22% decrease?

Answer 1

Answer:

The single percentage change is 27.46%

Step-by-step explanation:

Percentage

Suppose x is the initial number. It will be decreased by 7%.

(7/100)x=0.07x

x - 0.07x = 0.93x

This last number will be decreased by 22%.

0.93x*(22/100)=0.2046x

0.93x-0.2046x=0.7254x

The last number is 72.54% of the initial number. This is equivalent to a single decrease of:

100% - 72.54% = 27.46%

The single percentage change is 27.46%