A) \[4\,%\] %
B) \[9\,%\]%
C) \[12\,%\] %
D) None of these
Correct Answer: B
Solution :
Here \[x={{(ab)}^{2}}\sqrt{c}={{a}^{2}}\,{{b}^{2}}\,{{c}^{1/2}}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\frac{\Delta x}{x}=2\frac{\Delta a}{a}+\frac{2\Delta b}{b}+\frac{1}{2}\,\,\frac{\Delta c}{c}\] \[\Rightarrow \,\,\,\,\,\,\frac{\Delta x}{x}\times 100=\frac{2\Delta a}{a}\times 100+2\frac{\Delta b}{b}\times 100+\frac{1}{2}\frac{\Delta C}{C}\times 100\]\[\Rightarrow \,\,\,\,\,\,\frac{\Delta x}{x}\times 100=2\times 1+2\,\times 3+\frac{1}{2}\times 2=2+6+1=9%\]%
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