If A is x% of y and B is y% of x, then

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If A is x% of y and B is y% of x, then

Options:

A is smaller than B.

A is greater than B.

Relation between A and B cannot be determined.

A is equal to B.

Correct Answer:

A is equal to B.

Explanation:

A is x% of y = A × \(\frac{ x }{ 100 }\) × y = \(\frac{ Axy }{ 100 }\)

B is y% of x = B × \(\frac{ y }{ 100 }\) × x = \(\frac{ Bxy }{ 100 }\)

So, \(\frac{ Axy }{ 100 }\) = \(\frac{ Bxy }{ 100 }\)

A = B

The correct answer is Option (4) → A is equal to B.