If 50% of (x-y) = 30% of (x+y) then what percent of x is y?

Question

A. 25%

B. 27%

C. 35%

D. 67%

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Correct Answer :

A. 25%

50 % o f (x - y) = 30 % o f (x + y) \Leftrightarrow (50 / 100) (x - y) = (30 / 100) (x + y) \Leftrightarrow 5 (x - y) = 3 (x + y) \Leftrightarrow 2 x = 8 y \Leftrightarrow x = 4 y

therefore required percentage $= ((y / x) X 100) % = ((y / 4 y) X 100) = 25 %$