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9 November, 13:48

What single decimal multiplier would you use to increase by 5% followed by a 15% increase?

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  1. 9 November, 17:29
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    0.2075 = 20.75%

    Step-by-step explanation:

    Let the original number is x

    5% increase = 0.05 x

    So, the number will be = 0.05 x + x = 1.05 x

    15% increase = 0.15 * 1.05 x = 0.1575 x

    So, the number will be = 0.1575 x + 1.05 x = 1.2075 x

    S. the total increase = 1.2075 x - x = 0.2075 x

    And the decimal multiplier = 0.2075

    And the total increase as a percentage = 0.2075 * 100 % = 20.75%
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