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A student multiplied a number by \frac{3}{5} instead of  \frac{5}{3}, What is the percentage error in the calculation?

  • Option 1)

    54 %

  • Option 2)

    64%

  • Option 3)

    74%

  • Option 4)

    45%

  • Option 5)

    84%

Answers (1)

best_answer

Let original number be x

Correct number after multiplication = \frac{5x}{3}

Incorrect number after multiplication = \frac{3x}{5}

Error=\left ( \frac{5}{3}-\frac{3}{5} \right )x=\frac{16x}{15}

Error\; ^{0}/_{0}=\left [ \left ( \frac{16x}{15} \right ) /\: \left ( \frac{5x}{3} \right )\right ]\times 100=64\: ^{0}/_{0}

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