In a sale, normal prices are reduced by 10%. Natalie bought a pair of shoes for £54. What was the original price of the shoes?

Question

In a sale, normal prices are reduced by 10%. Natalie bought a pair of shoes for £54. What was the original price of the shoes?

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    0
    2021-10-14T20:54:50+00:00

    if we take 54 to be the reduced price, and “x” to be the original price, now “x” is the 100%, and 54 is the 100% – 10%, or 90%.

    \bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 54&90 \end{array}\implies \cfrac{x}{54}=\cfrac{100}{90}\implies x=\cfrac{54\cdot 100}{90}

    0
    2021-10-14T20:55:32+00:00

    60 because if 54=90%*x, then 54=90/100*x, then 54=9/10*x, so x=60

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