# 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.