Q. 94.5( 46 Votes )

If z varies directly as x and inversely as y. Find the percentage increase in z due to an increase of 12% in x and a decrease of 20% in y.

Answer :

Given: z is directly proportional to x, z x

z is inversely proportional to y, z


Therefore z


To find: Percentage increase in z if there is 12% increase in x and 20% decrease in y


z


(Assuming the proportionality constant to be 1)


Change in x 100x+12x


Change in y 100y-20y


The new z value becomes



Change in z value = New z value – Initial z value




Percentage increase in z =



40%


Percentage increase in z is 40%


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