If a% of x is equal to b% of y, then of c% of y is what % of x ?

A c %
B $$\frac{{{\text{ac}}}}{{\text{b}}}$$ %
C $$\frac{{{\text{bc}}}}{{\text{a}}}$$ %
D abc %

Correct Answer: $$\frac{{{\text{ac}}}}{{\text{b}}}$$ %

$$\eqalign{ & \frac{{ {ax} }}{{100}} = \frac{{ {by} }}{{100}} \cr & or,\,ax = by \cr & \Rightarrow y = \frac{{ {ax} }}{b} \cr & c\% \,{\text{of}}\,y = \frac{{ {cy} }}{{100}} \cr & or,\,\frac{{ {cy} }}{{100}} = \frac{{ {cax} }}{{100b}} \cr & {\text{Thus}}, \cr & c\% \,{\text{of}}\,y = \frac{{ca}}{b}\% \,{\text{of}}\,x \cr} $$
Bissoy MCQ
#Arithmetic Ability #Percentage

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