Question

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

Answer 1

Solution :-

We know that for every inversely proportional numbers, the given product of the number will be constant always, when all given conditions are same.

Let x and y = 20 both.

Here xy is = Constant

20 × 20 = Constant

If x increases by 20%, then the new value of x will be 24.

Therefore the product of x and y will be 480.

But we should know that the product of x and y should constant like 400 in this case.

Then y must be decrease to maintain the product constant.

x × y = 400

24y = 400

y= 400/24

y = 50/3

And in the terms of percentage.

= 

= 1/6 × 400

= 200/3 .

Hence the percentage decreased in y will be 200/3 .

hope that answer will help you