Question

A physical quantity x is being calculated by measuring y and z and using formula x=y*z in a particular set of values the value of y is measured with an error of +10% whereas the value of z is measured with an error of -10% for this particular set of values the error calculation of x is

Answer 1

x = y * z
Using the measured values:
x1 = y1 * z1
x1 = (y + 10y/100)* (z - 10z/100)
= 1.10 y* 0.90 z
= 0.99 y z = 0.99 x
Error in x = (0.99-1) x / x *100 %
= -1%