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    NationalMediumNumbers & Operations7–9

    A Rise Followed by a Fall of the Same Percentage

    Uma Subida Seguida de uma Descida da Mesma Percentagem

    A bicycle costs €200200. In March the price rises by 15%15\%. In September the new price falls by 15%15\%. What is the final price, and by what percentage of the original price has the bicycle changed overall?

    The second percentage is taken from the price after the rise, not from the original price — decide which number each percentage acts on before calculating.

    Solution

    Step 1 of 5

    1. 1.After the rise: 200×1.15=230200 \times 1.15 = 230 euros.