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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