jedit wrote:
If q > 0 and m is 100q percent of n, then, in terms of q, n is what percent of m ?
(A) \(10000/q\)
(B) \(100/q\)
(C) \(1/q\)
(D) \(q/100\)
(E) \(q\)
Picking values works here, too, when, e.g.,
sashiim20 's impressive algebra looks forbidding.
I assigned q first (round percentages are easier to work with).
Let n = 4
Let q = 2
m is 100q percent of n, or (100)(2) = 200 percent of 4, which is 8. So m = 8
n is what percent of m? \(\frac{4}{8}\) * 100 = .5 *100 = 50%
Plug q = 2 into answer choices, looking for 50. Only one answer yields that number:
Answer B.
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