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