The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical $A$

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

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