Question 1134024

Given {{{z = (x/y^2)}}}

Hence{{{ z = (x/y^2)}}} assuming proportionality constant as {{{}}}1.

{{{x}}} increase by {{{20}}}% and {{{y}}} decreases by {{{40}}}%

Hence {{{z}}} value becomes:

{{{z = 1.20x/((1-0.40)y)^2 = 1.20x/(0.60y)^2}}}

Change in {{{z}}} value 

=  {{{ 1.20x/(0.36y^2)-(x/y^2)}}}

= {{{(2.33333x)/y^2}}}


Increase in {{{z}}}% ={{{((2.33333x)/y^2)/(x/y^2)*100}}}

={{{2.33333* 100 = 233.333}}}%