Question

If zvaries directly as x and inversly as y.Find the percentage increase in z due to an increase of 12•/• in x and decrease of 20•/• in y.

Answer 1

Step-by-step explanation:

Given z ∝ (x/y)

Hence z = (x/y) assuming proportionality constant as 1.

x increase by 12% and y decreases by 20%

Hence z value becomes, z = 1.12x/0.8y = 112x/80y

Change in z value = (112x/80y) - (x/y)

= 32x/80y

Increase in z% = (32x/80y)/(x/y) x 100

= (32/80) x 100 = 40%