Question

If the percentage errors of $A,B$ and $C$ are $a,b$ and $c$ respectively, then the total percentage error in the product $ABC$ is:

• A. $abc$
• B. $a+b+c$
• C. $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$
• D. $ab+bc+ca$

Answer 1

The correct option is B $a+b+c$

% error in $A=a$

% error in $B=b$

% error in $C=c$

% error in product of $ABC=(\frac{\Delta A}{A}+\frac{\Delta B}{B}+\frac{\Delta C}{C})\times 100$

$=a+b+c$