A) \[2%\]
B) \[4%\]
C) \[6\,%\]
D) \[8\,%\]
Correct Answer: D
Solution :
As, \[M=\frac{{{x}^{1/2}}{{y}^{2}}}{{{z}^{1/3}}}\] \[\therefore \,\,\,\frac{\Delta M}{M}\times 100=\left[ \frac{1}{2}\frac{\Delta x}{x}+\frac{2\Delta y}{y}+\frac{1}{3}\frac{\Delta z}{z} \right]\,\,\times \,\,100\] \[=\,\,\,\frac{1}{2}\frac{\Delta x}{x}\times 100+\frac{2\Delta y}{y}\times 100+\frac{1}{3}\frac{\Delta \,z}{z}\times 100\] \[=\,\,\,\left[ \frac{1}{2}\times 2+2\times 3+\frac{1}{3}\times 3 \right]\] \[=\,\, \left[ 1 + 6 + 1 \right] = 8\,%\]
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