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In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows $P = (a^{3}b^{2})/(cd)$ % error in P is
Explanation
$P = a^{3}b^{2}/(cd)$, $\Delta P/P \times 100\% = 3(\Delta a/a) \times 100\% + 2(\Delta b/b) \times 100\% + (\Delta c/c) \times 100\% + (\Delta d/d) \times 100\%$ = $3 \times 1\% + 2 \times 2\% + 3\% + 4\% = 14\%$