If x% of y is 100 and y% of z is 200, find a relation between x and z. · ABC26GN2328

Subject: General Aptitude · Chapter: Percentage

If $x \%$ of $y$ is 100 and $y \%$ of $z$ is 200, find a relation between $x$ and $z$.

(a)$z=\frac{x}{2}$

(b)$z=2 x$

(c)$z=\frac{x}{4}$

(d)$z=4 x$

Answer

Answer (as printed): B

Explanation

Clearly, $y \%$ of $z=2(x \%$ of $y) \Rightarrow \frac{y z}{100}=\frac{2 x y}{100} \Rightarrow z=2 x$.

Explanation as extracted from the printed page; notation may be imperfect.

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