The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical \(A\)

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The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical \(A\) present and inversely proportional to the concentration of chemical \(B\) present. If the concentration of chemical \(B\) is increased by \(100\) percent, which of the following is closest to the percent change in the concentration of chemical \(A\) required to keep the reaction rate unchanged?

(A) \(100\%\) decrease.
(B) \(50\%\) decrease
(C) \(40\%\) decrease
(D) \(40\%\) increase
(E) \(50\%\) increase

Answer: D

Source: GMAT Prep