If x is 10% less than y, then find the percentage by which y is | Math Question and Answer

Answer:

11	1
	9

Step by Step Explanation:

According to the question, x is 10% less than y.
This can be written as:
x = y - (y ×
10
100
)
From the above equation, we can calculate y in terms of x. In order to do that, we must simplify the equation and rearrange it accordingly.
Thus,the equation becomes :
x = y -
y
10
,
which implies, x = y(1 -
1
10
)
or, x = y(
10 - 1
10
)
or, x =
9y
10

or, y =
10x
9
Now, let us try to rewrite the right-hand side of the above equation as a mixed number.
y = x +
x
9
From the above equation, we know that: "y is more than x by a factor of
1
9
".
To convert a factor into a percentage, we need to multiply the factor by 100.
This means that the following two statements mean the same:
"y is more than x by a factor of
1
9
".
and
"y is more than x by
100
9
percent."
On writing the above percentage as a mixed fraction, we get:
"y is more than x by
11 1
9
%"

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