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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 ?
Verified Answer
If z varies directly as x and inversely as y find the percentage incre...
Given Z varies directly as x and inversely as y. 
Hence Z = (X/Y),  Assuming proportionately constant as 1
X is increased by 12 % and Y is decreased by 20 %
Hence value of Z becomes,
Z = 1.12x/0.8y
Z = 112x/80y
Change in value of Z = (112X/80Y) - (X/Y)
= 32X/80Y
Increase in Z's percentage = (32X/80Y) � (X/Y) � 100
= (32X/80y) � (Y/X) � 100
= 40 %
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
If z varies directly as x and inversely as y find the percentage incre...
40
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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 ?
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