Question

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 decrease of 20% in y​

Answer 1

Answer:

Given zronies directly x and inversely as 4

Hence z=(x/4). Assuming proportionate constant 1x, is increased by 12% and y is decreased by 20%

z=1.12x/0.8y

z=112x/80y

Change in volume nz

=(112×8/80y)−(x/y)

=32×/80y

Increase in 2

′

s percentage

=(32x/80y)÷(x/y)×100

=40%

Answer 2

Given zronies directly x and inversely as 4

Hence z=(x/4). Assuming proportionate constant 1x, is increased by 12% and y is decreased by 20%

z=1.12x/0.8y

z=112x/80y

Change in volume nz

=(112×8/80y)−(x/y)

=32×/80y

Increase in 2

′

s percentage

=(32x/80y)÷(x/y)×100

=40%

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