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Thread: Awkward percentages question

  1. #1
    Member GAdams's Avatar
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    Awkward percentages question

    A shop reduces the price of its dresses by 30%.
    As a result it sells 60% more dresses than last month.

    Calculate the percentage increase in its takings.
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  2. #2
    Super Member Deadstar's Avatar
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    Let $\displaystyle n$ be the number of dresses.
    x be the cost of the dress.

    Last months takings was number of dresses multiplied by the cost of the dress which is $\displaystyle nx$

    This month the dress has been lowered by $\displaystyle 30$% so $\displaystyle x$ is now $\displaystyle 0.7x$
    And they sold $\displaystyle 60$% more so $\displaystyle n$ becomes $\displaystyle n(1 + 0.6)$

    So the takings this month is $\displaystyle 1.6n$ multiplied by $\displaystyle 0.7x$ which is $\displaystyle 1.12nx$ which is a $\displaystyle 12$% increase.
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