Aptitude Question ID : 93207

A student multiplied a number by \frac{3}{5} instead of \frac{5}{3}. What is the percentage error in the calculation?
[A]54%
[B]64%
[C]44%
[D]34%

64%
Let x be the multiplicand.
\therefore Error = \frac{5}{3}x - \frac{3}{5}x
= \frac{25x - 9x}{15} = \frac{16x}{15}
∴ Percentage Error =
= \frac{\frac{16x}{15}}{\frac{5x}{3}}\times 100
= \frac{16x}{15}\times \frac{3}{5x}\times 100 = 64\%
Hence option [B] is the correct answer.

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