Question

If x is 80% of y, then what percent of 2x is y?
A) 65.5 %
B) 64.5 %
C) 63.5 %
D) 62.5 %

Answer 1

 x = 80 % of y    

x = 80/100y

   =y/x = 5/4

Required percentage =Y/2x ×100  % = 5/8×100% =62.5%

Answer 2

Answer:

Option (D) is correct

$62.5\% \: of \:2x \:is \: y$

Step-by-step explanation:

$80\% \: of \: y = x$

$\implies 80\% \times y = x$

$\implies \frac{80}{100} \times y = x$

$\implies \frac{2\times 80}{100} \times y = 2x$

$\implies y = 2x \times \frac{100}{160}$

$\implies y = 2x \times \frac{100}{160}\times 100\%$

$\implies y = 2x \times \frac{1000}{16}\times\%$

$\implies y = 2x \times 62.5\%$

Therefore,

$62.5\% \: of \:2x \:is \: y$

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