# 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?Answer: Option

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.

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.

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.

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)

Aditya said:
3 years ago

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.

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).

= 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

How C? Please explain.

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