Question

A number 3.625 is wrongly read as 3.265; find the percentage error.

Answer 1

Step: Find the percentage error

Given: Correct number $=3.625$
Wrongly read number $=3.265$

$\therefore \text{Error in number = Difference of the two numbers}$

$=3.625-3.265$

$=0.360$

$\text{Percentage error}=\frac{\text{Error in number}}{\text{Correct number}}\times 100$
$=\frac{0.360}{3.625}\times 100$

$=\frac{360}{3625}\times 100$

$=\frac{36000}{3625}$

$=9.93$

Hence, the percentage error is $9.93\%$