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12.5 percent of k is 80. k is y percent of 80.

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12.5 percent of k is 80. k is y percent of 80. [#permalink] New post 05 Jun 2017, 02:52
Expert's post
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Question Stats:

55% (00:40) correct 44% (01:47) wrong based on 18 sessions


12.5 percent of k is 80.

k is y percent of 80.

Quantity A
Quantity B
y
650


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 12.5 percent of k is 80. k is y percent of 80. [#permalink] New post 05 Jun 2017, 05:51
Expert's post
Carcass wrote:


12.5 percent of k is 80.

k is y percent of 80.

Quantity A
Quantity B
y
650



12.5 percent of k is 80.
So, 0.125k = 80
Rewrite as: (1/8)k = 80 [NOTE: we should recognize that 12.5% = 0.125 = 1/8]
Multiply both sides by 8 to get: k = 640


k is y percent of 80.
So, 640 is y percent of 80.
Or 640 = (y/100)(80)
Simplify: 640 = 80y/100
Simplify more: 640 = 4y/5
Divide both sides by 4 to get: 160 = y/5
Multiply both sides by 5 to get: 800 = y

Given:
Quantity A: y
Quantity B: 650

So, we get:
Quantity A: 800
Quantity B: 650

Answer:
[Reveal] Spoiler:
A


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Re: 12.5 percent of k is 80. k is y percent of 80.   [#permalink] 05 Jun 2017, 05:51
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12.5 percent of k is 80. k is y percent of 80.

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