A student multiplied a number by 3/5 instead of 5/3 What is the percentage error in the calculation? · ABC26GN2270
Subject: General Aptitude · Chapter: Percentage
A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$ What is the percentage error in the calculation?
(a)34\%
(b)44\%
(c)54\%
(d)64\%
Answer
Explanation
Let the number be $x$. Then, error $=\frac{5}{3} x-\frac{3}{5} x=\frac{16}{15} x$. $$\text { Error } \%=\left(\frac{16 x}{15} \times \frac{3}{5 x} \times 100\right) \%=64 \% \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.
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