Question

Q5/180
A quantity z is given as 2
a2b3 . If percentage
error in a, b, c and d are 2%, 3%, 2% and 1% respectively, then
maximum percentage error in z will be
O
6%
O 7%
O 9%
0
O
11%​

Answer 1

The maximum error in z will be 16%

Explanation:

Quantity of Z = 2 a^2 b^3

percentage errors =  2%, 3%, 2% and 1%

maximum error in Z = ?

Δ Z / Z x 100 = [ 2 Δa / a + 3 Δ b / b +  Δc / c +  Δd / d ] x 100

Δ Z / Z x 100 = [ 2 x 2 + 3  x 3 +  2 +  1 ] x 100

Δ Z / Z x 100 = 4 + 9 + 2 + 1

Δ Z / Z x 100 = 16  

The maximum error in z will be 16%