Question

two positive numbers x and y are inversely proportional if x increases by 20% then percentage decrease in y is

Answer 1

Every inversely proportional numbers are carried out by given product of the number.

This is used to evaluate with constant always and has given conditions that are same in the positive integer values.

Here, XY is constant so that 20x20 is equal to constant. And in the terms of percentage= \frac{(20 - 50/3)}{20} * 400 = 1/6 × 400= 200/3.

Answer 2

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 20,

then xy = Constant

=> 20x20 = Constant

If x increases by 20%, then the new value of x will be 22. And the product of x and y will be 220. But product of x and y should be constant. Then y should be decrease to keep the product constant.Now,

xy = 220

22y = 220

y = 110/11