Question

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

Answer 1

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The single decimal multiplier is 0.836

Step-by-step 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

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Answer 2

Answer:

1.26

Step-By-Step Explanation:

Let a number be x.

If x is increased by 5% then the value of the number is( (100+5) /100) ×x=1.05x

Again if 1.05x is increased by 20% then the value of the number=

((100+20) /100) ×1.05x = 1.2×1.05x=1.26x

Thus it is found that single decimal multiplier used for successive increase of 5% and 20% is 1.26.

Hence , answer is 1.26.

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