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In the country of Celebria, the \(Q\)-score of a politician is computed from the following formula:
\(Q=\dfrac{41ab^2c^3}{d^2},\) in which the variables \(a, b, c,\) and \(d\) represent various perceived attributes of the politician, all of which are measured with positive numbers. Mayor Flower’s \(Q\)-score is 150% higher than that of Councilor Plant; moreover, the values of \(a, b,\) and \(c\) are 60% higher, 40% higher, and 20% lower, respectively, for Mayor Flower than for Councilor Plant. By approximately what percent higher or lower than the value of \(d\) for Councilor Plant is the corresponding value for Mayor Flower?
A. 56% higher
B. 25% higher
C. 8% lower
D. 20% lower
E. 36% lower
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
\(Q=\dfrac{41ab^2c^3}{d^2},\) in which the variables \(a, b, c,\) and \(d\) represent various perceived attributes of the politician, all of which are measured with positive numbers. Mayor Flower’s \(Q\)-score is 150% higher than that of Councilor Plant; moreover, the values of \(a, b,\) and \(c\) are 60% higher, 40% higher, and 20% lower, respectively, for Mayor Flower than for Councilor Plant. By approximately what percent higher or lower than the value of \(d\) for Councilor Plant is the corresponding value for Mayor Flower?
A. 56% higher
B. 25% higher
C. 8% lower
D. 20% lower
E. 36% lower
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
