Question

What single decimal multiplier would you use to decrease by 12% followed by a 5% decrease?

Answer 1

The single decimal multiplier is 0.836

Explanation:

In this question, we are concerned with using a single decimal multiplier to denote a 12% decrease followed by a 5% decrease.

Let the number we want to decrease be x

A 12%(12/100 = 0.12) decrease means x - 0.12x = 0.88x

Now, we want to follow this up by a 5% decrease(5% = 5/100 = 0.05)

5% decrese of 0.88x is 0.88x - 0.05(0.88x)

= 0.88x - 0.044x = 0.836x

Thus, the single decimal multiplier that reflects a 12% decrease followed by a 5% decrease is 0.836