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# If q > 0 and m is 100q percent of n

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Manager
Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
If q > 0 and m is 100q percent of n  [#permalink]

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04 Jul 2017, 04:18
1
2
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:36) correct 38% (02:03) wrong based on 100 sessions

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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) $$q$$

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Director
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: If q > 0 and m is 100q percent of n  [#permalink]

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04 Jul 2017, 04:25
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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) $$q$$

$$m = 100q$$% of $$n = \frac{100q}{100} * n$$

$$m = qn$$

Let the unknown percent be $$x$$.

$$n = x$$% of$$m = \frac{x}{100} * m$$

$$x = \frac{100n}{m}$$

$$x = \frac{100n}{qn} = \frac{100}{q}$$

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Senior SC Moderator
Joined: 22 May 2016
Posts: 2651
If q > 0 and m is 100q percent of n  [#permalink]

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04 Jul 2017, 14:02
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:

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If q > 0 and m is 100q percent of n   [#permalink] 04 Jul 2017, 14:02
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