Question

What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?

Answer 1

Answer:

The single decimal multiplier is 1.0296.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: $\frac{100-a}{100}$

For a increase of a%, we multiply by: $\frac{100+a}{100}$

For consecutive changes, we multiply the multipliers.

Decrease of 1%

Multiplication by $\frac{100-1}{100} = \frac{99}{100} = 0.99$

Increase of 4%

Multiplication by $\frac{100+4}{100} = \frac{104}{100} = 1.04$

Consecutive:

0.99*1.04 = 1.0296

The single decimal multiplier is 1.0296.