two positive numbers x and y are inversely proportional.if x increased by 20%, then percentage decreases by
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Let x and y be both 10,
then xy = Constant
=> 10x10 = Constant
If x increases by 10%, then the new value of x will be 11. And the product of x and y will be 110. But product of x and y should be constant( 100 in this case.) Then y should be decrease to keep the product constant.Now,
xy = 100
11y = 100
y = 100/11
And in percentage terms
[(10 - 100/11)/ 10] x 100 = (10/110) x 100 = 100/11 %
then xy = Constant
=> 10x10 = Constant
If x increases by 10%, then the new value of x will be 11. And the product of x and y will be 110. But product of x and y should be constant( 100 in this case.) Then y should be decrease to keep the product constant.Now,
xy = 100
11y = 100
y = 100/11
And in percentage terms
[(10 - 100/11)/ 10] x 100 = (10/110) x 100 = 100/11 %
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