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An experiment measures quantities a,b,c ...

An experiment measures quantities a,b,c and then y is calculated as `y= (ab^2)/(c^3)` .The percentage errors in a.b.c are `pm 1% , pm 3% and pm2%` respectively. What is the percentage error in y?

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`(Delta a)/( a) xx 100 = pm 1% (Delta b)/( b) xx 100 = pm 3%, (Delta c)/( c ) xx 100 = pm 2%`
`x= (ab^2)/( c^3)`
Maximum percentage error in x is
`(Delta x)/( x) xx 100 = (Delta a)/( a) xx 100 + 2(Delta b)/( b) xx 100 = 3 (Delta c)/( c ) xx 100`
`= 1+ (2xx 3) + (3xx2) = 13%`
Maximum percentage error in `x` is `13%`
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