ABC26GN2329 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: 2009 · Marks: · Difficulty:
If $x \%$ of $500=y \%$ of 300 and $x \%$ of $y \%$ of $200=60$, then $x=$ ?
(a)$10 \sqrt{2}$
(b)$20 \sqrt{2}$
(c)$15 \sqrt{2}$
(d)$30 \sqrt{2}$
Answer
Explanation
$x \%$ of $500=y \%$ of 300 $$\begin{aligned} \Rightarrow & \quad \frac{x}{100} \times 500=\frac{y}{100} \times 300 \Rightarrow 5 x=3 y \Rightarrow y=\frac{5}{3} x . \\ & x \% \text { of } y \% \text { of } 200=60 \Rightarrow \frac{x}{100} \times \frac{y}{100} \times 200=60 \\ \Rightarrow & x y=3000 \Rightarrow x \times \frac{5}{3} x=3000 \\ \Rightarrow & x^{2}=3000 \times \frac{3}{5}=1800 \Rightarrow x=30 \sqrt{2} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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