Question

If $50\%$ of $(x-y)=30\%$ of (x+y), then what percent of `x’ is `y’?

• A. $25\%$
• B. $33\frac{1}{3}\%$
• C. $40\%$
• D. $400\%$

Answer 1

The correct option is A $25\%$

$\frac{50}{100}(x-y)=\frac{30}{100}(x+y)$
$\Rightarrow 5(x-y)=3(x+y)$
$\Rightarrow 5x-5y=3x+3y\Rightarrow x=4y$
$\Rightarrow y=\frac{1}{4}x$
$\Rightarrow 25\%$