Discussion Forum

Student multiplied a number by 3/5 instead of 5/3.What is the percentage error in the calculation?

Answer:

Explanation:

Let number be x
Actual number $= \frac{5x}{3}$ and error number $= \frac{3x}{5}$
Error = $\frac{5x}{3}-\frac{3x}{5}=\frac{16x}{15}$
Error % = $\frac{15}{\left(\frac{5x}{3}\right)}\times 100$
= 64%