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23 May, 14:20

What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?

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  1. 23 May, 16:13
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    Decrease of 28.6%.

    Step-by-step explanation:

    The multiplier for a increase of a% is 1 + a/100.

    The multiplier for a decrease of b% is 1 - b/100.

    Decrease of 15%

    1 - 15/100 = 1 - 0.15 = 0.85

    Decrease of 16%

    1 - 16/100 = 1 - 0.16 = 0.84

    Both:

    0.85*0.84 = 0.714

    Change:

    The initial percentage is 100% = 1.

    0.714 - 1 = - 0.286

    Negative, so a decrease

    The answer is a decrease of 28.6%.
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