# Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 5)
5.
If A = x% of y and B = y% of x, then which of the following is true?
A is smaller than B.
A is greater than B
Relationship between A and B cannot be determined.
If x is smaller than y, then A is greater than B.
None of these
Explanation:

 x% of y = x x y = y x x = y% of x 100 100 A = B.

Discussion:
59 comments Page 1 of 6.

Hasan dhother said:   2 weeks ago
it so simple
A = x% of Y = xy/100.
B = Y% of X = xy/100.
Hence A = B.
(1)

Chandra bir karki said:   2 years ago
Good. Thanks all for explaining.
(4)

Rupesh Patil said:   2 years ago
It's Simple

Let's take x =10 & y=500.
So, A = x% of y & B = y% of x.
Just put the values:

A = (10%/100) * 500 = 50 &
B = (500%/100) * 10 = 50,
Hence A = B.
(17)

Ujjwal said:   3 years ago
It's really helpful. Thank you all.

Neha said:   3 years ago
@Abhishek

Total increase 6300 - 5500 = 830.
Males = 11%.
Females = 20 % = 11 % + 9%
11 % of 5500 = 605.
So,
9 % of females = 830 - 605.
= (225/9) * 100 = 2500.
(1)

It is only true if you assume x=y.
(1)

GAURI said:   4 years ago
Hello, guys as a beginner think very straight and you'll get the answer.
The way it is mentioned just write it and solve:

A= X% of Y.

Similarly ;
B = Y% of X.

According to the percentage formula;
AX/Y * 100.
BY/X * 100.
AX/Y = BY/X.

Just cancel X and Y according to simple multiplication rule. And only left it A = B.
And as it is not given in the option hence option E.
(1)

Lakshmi said:   5 years ago
A=x% of y,
= y * (x/100).

B= y% of x,
= x * (y/100).

ANBU said:   5 years ago
It's very useful. Thank you all.

Gavi said:   5 years ago