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# A Question from Errors in measurement

An experiment measures quantities a,b and c, and X is
calculated from

$\large x=\frac{ab^{2}}{c^{3}}$

if the percentage error in a,b,c are ±1%, ±5%, ±2%  respectively, the percentage error in X will be
a) 7%
b) 5%
c) 1%
d) 9%

Percentage error = 1x percentage error in a + 2 x percentage error in b + 3 x percentage error in c

= 1×1 +2×5+3×2

=1+10+6

= 17%

SO there could be a misprint in the question posted by you.

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