Question

Given that xand yare positive real
numbers and xy= 100. If x increases
then y
increases
none
remain constant
decreases
​

Answer 1

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 %