Given that xand yare positive realnumbers and xy= 100. If x increasest

1.	Given that xand yare positive realnumbers and xy= 100. If x increasesthen yincreasesnoneremain constantdecreases
Answer» Answer: 100/11% Step-by-step explanation: For inversely proportional numbers, the PRODUCT of the number must always be constant, if all other conditions are the same. 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 %

Given that xand yare positive realnumbers and xy= 100. If x increasesthen yincreasesnoneremain constantdecreases

Answer»

Answer:

100/11%

Step-by-step explanation:

For inversely proportional numbers, the PRODUCT of the number must always be constant, if all other conditions are the same.

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 %

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