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If x 80% of y, then what percent of 2x is y ?
Answer & Solution
Correct Answer:
Option
B
x = 80% of y
⇒ x = $$\frac{80}{100}$$y
⇒ $$\frac{y}{x}$$ = $$\frac{5}{4}$$
⇒ $$\frac{y}{2x}$$ = $$\frac{5}{8}$$
∴ Required percentage :
$$\eqalign{ & = \left( {\frac{y}{{2x}} \times 100} \right)\% \cr & = \left( {\frac{5}{8} \times 100} \right)\% \cr & = 62\frac{1}{2}\% \cr} $$
⇒ x = $$\frac{80}{100}$$y
⇒ $$\frac{y}{x}$$ = $$\frac{5}{4}$$
⇒ $$\frac{y}{2x}$$ = $$\frac{5}{8}$$
∴ Required percentage :
$$\eqalign{ & = \left( {\frac{y}{{2x}} \times 100} \right)\% \cr & = \left( {\frac{5}{8} \times 100} \right)\% \cr & = 62\frac{1}{2}\% \cr} $$
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