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A certain electronic component is sold in boxes of 54 for $1

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A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 03 Mar 2014, 23:33
1
14
00:00
A
B
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D
E

Difficulty:

  25% (medium)

Question Stats:

78% (02:14) correct 22% (02:40) wrong based on 564 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

A certain electronic component is sold in boxes of 54 for $16.20 and in boxes of 27 for $13.20. A customer who needed only 54 components for a project had to buy 2 boxes of 27 because boxes of 54 were unavailable . Approximately how much more did the customer pay for each component due to the unavailability of the larger boxes?

(A) $0.33
(B) $0.19
(C) $0.11
(D) $0.06
(E) $0.03

Problem Solving
Question: 126
Category: Arithmetic Operations of rational numbers
Page: 78
Difficulty: 600


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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 08 Mar 2014, 20:42
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Is there a reason people are choosing to do long division two times in this problem? Here's how I worked this one out,

Cost for 54 components from one box = $16.20
Cost for 54 components from two boxes = $13.20 * 2 = $26.40
Difference is $26.40 - $16.20 = $10.20

We want to know how much more we paid per piece so just take $10.20/54 = .19 cents. Wouldn't this be quicker in most cases?
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 03 Mar 2014, 23:34
SOLUTION

A certain electronic component is sold in boxes of 54 for $16.20 and in boxes of 27 for $13.20. A customer who needed only 54 components for a project had to buy 2 boxes of 27 because boxes of 54 were unavailable. Approximately how much more did the customer pay for each component due to the unavailability of the larger boxes?

(A) $0.33
(B) $0.19
(C) $0.11
(D) $0.06
(E) $0.03

Boxes of 54: the price per one component = 16.20/54;
Boxes of 27: the price per one component = 13.20/27;

The difference = 13.20/27 - 16.20/54 = (26.4 - 16.2)/54 = ~0.19.

Answer: B.
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 04 Mar 2014, 14:39
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B?

26.40/54- 16.20/54 = ~ .19
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 04 Mar 2014, 15:49
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i got B as well..same reasoning as Mountain14 but i used sets of 27 instead of 54
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 04 Mar 2014, 18:12
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Per piece price from boxes of 54 = 16.2/54
Per piece price from boxes of 27 = 13.2/27

Excess money paid = 13.2/27 - 16.2/54

= 13.2/27 - 8.1/27

= 5.1/27 = 0.19 (nearly) = Answer = B
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 09 Mar 2014, 20:13
I just wanted to find the difference in unit price of each scheme. 54 for $16.2 is the same as 27 for $8.1. That's a difference of 5.3 for 27 items, which is just under 20 cents. The answer is B. Laziness ftw! Actually the difference is 5.1. Perhaps too lazy. Still the closest answer though.
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 31 May 2015, 01:10
for me was the part of dividing the most time connsuming... So, may be this will help you also:
10,20/54 = (Divide by 6) = 1,7/9 = 0,19.... It's much easier to delete 1,7 by 9 than 10,20 / 54
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A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 12 Sep 2015, 23:43
He paid 26.4 instead of 16.2 for 54 items.

So 10.2$ more for 54 or 10.2/54 per item

Or 20.4/108 so closest is .19.
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 22 Nov 2015, 09:36
So far, every time I do one of these arithmetic questions I've found that the answer choices are far enough apart that rounding always works.

15/30 = .5
16/56= 2/7 = .29 = .30

.5-.3 = .2

I took me 30 secs to read the question. 30 seconds to do the math.
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 06 Feb 2016, 21:15
Difference in cost per component = (26.40-16.20)/54 = 10.2/54.
Now since we notice that the answer choices are well separated, we can go for estimation. 10.2/54 is somewhat smaller than 1/5. The only answer choice that does that is B. So B.
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 16 Jun 2016, 05:18
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I have a query here. Request members to share their inputs.
As answer choices are quite far from each other, is it right to approx 10.20/54 ~ 10/54 = .18 (close to option B) ?
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 16 Jun 2016, 06:00
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Re: A certain electronic component is sold in boxes of 54 for $1  [#permalink]

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New post 24 Jun 2018, 09:20
Here, 13.2*2=26.40-16.2=10.2/54=.19
So, Correct Answer is B.
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Re: A certain electronic component is sold in boxes of 54 for $1 &nbs [#permalink] 24 Jun 2018, 09:20
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