If x% of a is the same as y% of b, then z% of b is (Campus Recruitment, 2010) · ABC26GN2343
Subject: General Aptitude · Chapter: Percentage
If $x \%$ of $a$ is the same as $y \%$ of $b$, then $z \%$ of $b$ is (Campus Recruitment, 2010)
(a)$\frac{x y}{z} \%$ of $a$
(b)$\frac{y z}{x} \%$ of $a$
(c)$\frac{x z}{y} \%$ of $a$
(d)None of these
Answer
Explanation
$x \%$ of $a=y \%$ of $b \Rightarrow \frac{x}{100} a=\frac{y}{100} b \Rightarrow b=\left(\frac{x}{y}\right) a$. $$\therefore z \% \text { of } b=\left(z \% \text { of } \frac{x}{y}\right) a=\left(\frac{x z}{y \times 100}\right) a=\left(\frac{x z}{y}\right) \% \text { of } a \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.
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