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At a certain factory, 10 percent of the staplers produced on

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At a certain factory, 10 percent of the staplers produced on [#permalink]

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25 Nov 2013, 11:49
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At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the nondefective staplers were rejected by mistake. If 90 of the nondefective staplers were rejected, what was the number of staplers produced that day

A. 4,000
B. 4,200
C. 4,500
D. 4,800
E. 5,000
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Nov 2013, 12:04, edited 1 time in total.
Edited the question.
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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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25 Nov 2013, 12:12
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gmatfighter12 wrote:
At a certain factory, 10 percent of the staplers produced on Monday were defective and 2 percent of the nondefective staplers were rejected by mistake. If 90 of the nondefective staplers were rejected, what was the number of staplers produced that day

A. 4,000
B. 4,200
C. 4,500
D. 4,800
E. 5,000

Given that:
2 percent of the nondefective staplers were rejected.
90 of the nondefective staplers were rejected.

Thus 0.02*{nondefective} = 90 --> {nondefective} = 4,500.

We also know that nondefective staplers were 90% of all staplers, thus 0.9*{total} = 4,500 --> {total} = 5,000.

Hope it's clear.
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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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25 Nov 2013, 20:23
You can also plug in answer choices to solve this one quickly.

Since 90 is 2% of 4500, we know this answer choice is equal to the number of non-defective staplers.

Since we know that 90% of all of the staplers are non-defective, 4500/.9, or 4500*(100/90), will give you the correct result: 5000.
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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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15 Jan 2015, 09:24
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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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15 Jan 2015, 21:21
Hi All,

This question is all about percents and ratios, so you can use a variety of "math approaches" to solve it (including TESTing THE ANSWERS).

Here's an approach that focuses on the ratios.

We're told that 10% of staplers in a factory are defective.

X = Total staplers
.1X = defective staplers
.9X = normal staplers

Next, we're told that 2% of the normal staplers were rejected by mistake and that this = 90 staplers...

.9X(.02) = 90
.018X = 90
18X = 90,000
X = 5,000

[Reveal] Spoiler:
E

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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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21 Jan 2015, 20:18
Defective ..................... Non defective ................... Total

$$\frac{10x}{100}$$ ........................... $$\frac{90x}{100}$$ ........................ x (Say total staplers = x)

Given that 2% of the non defective rejected = 90

$$\frac{90x}{100} * \frac{2}{100} = 90$$

x = 5000

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Re: At a certain factory, 10 percent of the staplers produced on [#permalink]

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28 Feb 2016, 19:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At a certain factory, 10 percent of the staplers produced on   [#permalink] 28 Feb 2016, 19:04
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