A trader gave a charge of #540.00 in stead of #570.00 to a customer. Calculate the percentage error

Mathematics

ScanSolve AI Answer

Answer

5.26%\text{5.26\%}

Step-by-step solution

3 steps

  1. Identify the actual value and the charged value.

    The actual charge is #570.00.
    The charged value is #540.00.

  2. Calculate the error.

    The error is the difference between the actual value and the charged value.

    Error=Actual Value−Charged Value\text{Error} = \text{Actual Value} - \text{Charged Value} Error=#570.00−#540.00=#30.00\text{Error} = \#570.00 - \#540.00 = \#30.00

  3. Calculate the percentage error.

    The percentage error is the error divided by the actual value, multiplied by 100%.

    Percentage Error=ErrorActual Value×100%\text{Percentage Error} = \frac{\text{Error}}{\text{Actual Value}} \times 100\% Percentage Error=#30.00#570.00×100%\text{Percentage Error} = \frac{\#30.00}{\#570.00} \times 100\% Percentage Error=30570×100%\text{Percentage Error} = \frac{30}{570} \times 100\% Percentage Error=119×100%\text{Percentage Error} = \frac{1}{19} \times 100\% Percentage Error≈0.05263×100%\text{Percentage Error} \approx 0.05263 \times 100\% Percentage Error≈5.26%\text{Percentage Error} \approx 5.26\%

    The percentage error is \text{5.26%}.

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