ABC26GN2125 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:
If $50\%$ of $(x-y)=30\%$ of $(x+y)$, then what percent of $x$ is $y$ ?
Answer
Explanation
$50\%$ of $(x-y)=30\%$ of $(x+y) \Leftrightarrow \frac{50}{100}(x-y)=\frac{30}{100}(x+y) \Leftrightarrow 5(x-y)=3(x+y) \Leftrightarrow 2x=8y \Leftrightarrow x=4y$. Required percentage $=\left(\frac{y}{x}\times 100\right)\%=\left(\frac{y}{4y}\times 100\right)\%=25\%$.
Explanation as extracted from the printed page; notation may be imperfect.
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