Question

What single percentage change is equivalent to a 12% increase followed by a 14% decrease?

Answer 1

Answer:

3.68% decrease

Step-by-step explanation:

12% increase = 112% of the original value

112% as a decimal = 112/100 = 1.12

14% decrease = 100% - 14% = 86% of the original value

86% as a decimal = 86/100 = 0.86

Therefore, if you increase the number n by 12% and then decrease by 14%:

n × 1.12 × 0.86 = n × 0.9632

0.9632 as a percentage = 0.9632 × 100 = 96.32%

Therefore, the overall percentage change is 100% - 96.32% = 3.68% decrease