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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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