A) \[11%\]
B) \[4%\]
C) \[1%\]
D) \[3%\]
Correct Answer: A
Solution :
: \[Q=\frac{{{x}^{3}}{{y}^{2}}}{z}\] The percentage error in the quantity Q is \[\frac{\Delta Q}{Q}\times 100=\left( 3\frac{\Delta x}{x}+2\frac{\Delta y}{y}+\frac{\Delta z}{z} \right)\times 100\] \[=3\left( \frac{\Delta x}{x}\times 100 \right)+2\left( \frac{\Delta y}{y}\times 100 \right)+\frac{\Delta z}{z}\times 100\] \[=3\times 1%+2\times 2%+4%=11%\]
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