A beaker contains \(100\) milligrams of a solution of salt and water that is \(x\%\) salt by weight such that \(x<90.\)

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A beaker contains \(100\) milligrams of a solution of salt and water that is \(x\%\) salt by weight such that \(x<90.\) If the water evaporates at a rate of \(y\) milligrams per hour, how many hours will it take for the concentration of salt to reach \((x+10)\%,\) in terms of \(x\) and \(y?\)

(A) \(x^xy^y=\dfrac{24^3}2\)

(B) \(\dfrac{1000+99x}{xy+10y}\)

(C) \(\dfrac{100y+100xy}{x+10}\)

(D) \(\dfrac{1000}{xy+10y}\)

(E) \(\dfrac{\sqrt{x+y}}2\)

Answer: D

Source: Manhattan GMAT