If x% of y is equal to z, what percent of z is x ?
A
$$\frac{{{y^2}}}{{100}}$$ %
B
$$\frac{y}{{{{100}^2}}}$$ %
C
$$\frac{{100}}{y}$$ %
D
$$\frac{{{{100}^2}}}{y}$$ %
Correct Answer: $$\frac{{{{100}^2}}}{y}$$ %
x% of y = z⇒ $$\frac{x}{100}$$y = z
⇒ $$\frac{x}{z}$$ = $$\frac{100}{y}$$
∴ Required percentage
$$\eqalign{ & = \left( {\frac{x}{z} \times 100} \right)\% \cr & = \left( {\frac{{100}}{y} \times 100} \right)\% \cr & = \left( {\frac{{{{100}^2}}}{y}} \right)\% \cr} $$
