Question

If y=a-b then percentage error in a and b are 2%&3%. Find maximum % error in y if a=5m and b=3m

Answer 1

Answer:

9.5%

Explanation:

If y=a-b then percentage error in a and b are 2%&3%. Find maximum % error in y if a=5m and b=3m

a = 5 ± 2%

=> a = 5 ± (2/100)*5

=> a = 5 ± 0.1

b = 3 ± 3%

=> b = 3 ± (3/100)*3

=> b = 3 ± 0.09

Y = a - b

=> y = (5 ± 0.1) - (3 ± 0.09)

=> y = 2 ± 0.19

maximum % error in y  =  (0.19/2)*100 = 9.5%