Relation of x and y

Algebra Level 1

If A=x% of y and B= y% of x Then which of the following is true.

A is greater than B A is smaller than B. A=B Relationship between A and B cannot be determined.

Saurav Sah by Saurav Sah , 20, India

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2 solutions

Sunil Pradhan
Apr 16, 2014

A = x% of y then A = x/100 × y and B = y% of x then B = y/100 × x = x/100 × y = A

B = A

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i just substituted the values of x and y with 2 random numbers. its much easier

Krishna Ramesh - 7 years, 1 month ago
Nikhil Raj
May 30, 2017

A = x x % of y = x 100 × y = x y 100 y = \dfrac{x}{100} \times y = \dfrac{xy}{100} and B = y y % of x = y 100 × x = x y 100 S o , A = B x = \dfrac{y}{100} \times x = \dfrac{xy}{100} \\ So, \\ \color{#3D99F6}{\boxed{A=B}}

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