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PS - % (m02q37)

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PS - % (m02q37) [#permalink] New post 23 Jan 2008, 07:46
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Difficulty:

  55% (medium)

Question Stats:

45% (02:06) correct 55% (01:01) wrong based on 424 sessions
A number of light bulbs were purchased to illuminate a gym. However, only \normal\frac{2}{3} of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160

[Reveal] Spoiler: OA
C

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Re: PS - % [#permalink] New post 23 Jan 2008, 07:57
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C

x - money that was spent on illuminating the gym.

(x+96)*\frac13*\frac{60}{100}=96

x=5*96-96=4*96=384

I think it is easy-medium level. But maybe I have wrong answer? :)
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Re: PS - % [#permalink] New post 23 Jan 2008, 08:43
Answer is B

Extra bulbs 1/3 T = 160
Total bulbs T=480
(60/100) xcost of extra bulbs = 96

cost of extra bulbs=160
cost of each bulb = 1
cost of required bulbs=320
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Re: PS - % [#permalink] New post 23 Jan 2008, 09:09
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I think we have to add losses 0.4*160=64
320+64=384.
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Re: PS - % (m02q37) [#permalink] New post 12 Jul 2010, 05:16
Yeah, i agree.. have to add the loss .
320+64=384 Final answer C
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Re: PS - % (m02q37) [#permalink] New post 12 Jul 2010, 13:52
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A number of light bulbs were purchased to illuminate a gym. However, only of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160

Ans: C

Let Total Bulbs be X
1/3X=160 => X=480(Total)

Also,
Let Z=Price of 1 bulb
160*60*z/100=96
=>z=1(1 bulb price)

Thus Price Paid for illuminating gym= 480(Total Cost)-96(Refund)
=384 (C)

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Re: PS - % (m02q37) [#permalink] New post 11 Jan 2012, 06:08
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I don't think the problem is tricky but I found the wording confusing. So, I interpreted the problem wrongly. One doubt : Does the reimbursement refer to the money for unused bulbs or the money used for the entire stock?

It has a sentence correction error: "Their" has no clear referent. :lol:
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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2012, 04:58
dzyubam wrote:
A number of light bulbs were purchased to illuminate a gym. However, only \normal\frac{2}{3} of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions


1/3 bulb -- 160

so 2/3 = 320

Total = 480

Required was 320 and 160 extra

60% 0f cost = 96

100% of cost = 1oo * 96/ 60 = 160

so cost of 160 bulbs = 160

so required 320 was 320 and 96 was returned = 160 - 96 = 64

so total spent = 320+64 = 384

Ans C.

Did within 2 mins !!
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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2012, 19:39
Good one. Tricky question in terms that it is not difficult to solve but just that one needs to be careful in reading the question. I selected B and almost at that instant realized my mistake. :(

Nice. Need to focus more on the question asked. :)
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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2012, 23:36
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Quote:
A number of light bulbs were purchased to illuminate a gym. However, only 2/3 of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?


Total nr of bulbs bought initially - say n
Of these bulbs, 2/3 of them were used and hence 1/3 (1-2/3) bulbs were returned to the retailer.
This implies that 1/3 (of) n bulbs were returned.

1/3 of n = 160 bulbs ==> n = 480 (Remember n refers to the original nr and 160 refers to the number of bulbs
that were returned)
Lets determine the nr of bulbs that were used for lighting the gym.

2/3 of (480) = 320 bulbs were used to illuminate the gym.

Ok, now comes the tricky part. As per the question stem - 60% of the their cost was refunded.The trick is to understand
identify the antecedent of the pronoun "their"

This interpretation makes sense.
Think of if this way, some retailers sell products under the condition that on return, they will NOT refund 100 % of the amount paid by the customer.Instead they will refunded a reduced % - say 70 % of the initial price. This policy is to discourage people from buying large quantities and then return these products for a refund.
Back to the question :-
When 160 bulbs were returned, the retailer refunded only 60% of the COST of THESE 160 bulbs
i.e .6x of (total cost of 160 bulbs that were returned) = $96
total cost of 160 bulbs that were returned = $160
Cost of 1 bulb = $1
Total Cost of lights used to decorate the gym= Cost of the 320 Bulbs that were not returned = 320 x $1
= $320
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Re: PS - % (m02q37) [#permalink] New post 19 Jul 2012, 04:05
TheMBAist wrote:
The question is not very clear. But since some of you got it correct, I shall not complain. I thought it was B, 320.

B could have been the answer if the question were "How much does it cost to illuminate the gym?"
C is the answer to the actual question "How much money was spent on illuminating the gym?"

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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2013, 04:19
hafizkarim wrote:
Quote:
A number of light bulbs were purchased to illuminate a gym. However, only 2/3 of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?


Total nr of bulbs bought initially - say n
Of these bulbs, 2/3 of them were used and hence 1/3 (1-2/3) bulbs were returned to the retailer.
This implies that 1/3 (of) n bulbs were returned.

1/3 of n = 160 bulbs ==> n = 480 (Remember n refers to the original nr and 160 refers to the number of bulbs
that were returned)
Lets determine the nr of bulbs that were used for lighting the gym.

2/3 of (480) = 320 bulbs were used to illuminate the gym.

Ok, now comes the tricky part. As per the question stem - 60% of the their cost was refunded.The trick is to understand
identify the antecedent of the pronoun "their"

This interpretation makes sense.
Think of if this way, some retailers sell products under the condition that on return, they will NOT refund 100 % of the amount paid by the customer.Instead they will refunded a reduced % - say 70 % of the initial price. This policy is to discourage people from buying large quantities and then return these products for a refund.
Back to the question :-
When 160 bulbs were returned, the retailer refunded only 60% of the COST of THESE 160 bulbs
i.e .6x of (total cost of 160 bulbs that were returned) = $96
total cost of 160 bulbs that were returned = $160
Cost of 1 bulb = $1
Total Cost of lights used to decorate the gym= Cost of the 320 Bulbs that were not returned = 320 x $1
= $320



Looks easy question...but made a mistake ...this is the first question of the day that I started solving...
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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2013, 08:48
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dzyubam wrote:
A number of light bulbs were purchased to illuminate a gym. However, only \normal\frac{2}{3} of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions


Solve while reading...

A number of light bulbs were purchased to illuminate a gym. --------> say x

However, only \normal\frac{2}{3} of them were needed. -------> \frac{2}{3}x used ------> means \frac{1}{3}x extra.

The extra 160 light bulbs ------> \frac{1}{3}x=160 therefore x = 480 = total number of bulbs

Extra 160 bulbs Returned 60% percent of their cost, or $96, was reimbursed. ------> 0.6 X 160 X Rate = 96 --------> Rate = 1

How much money was spent on illuminating the gym? --------> Used Bulbs + 40% of unused bulbs --------> 320 + 0.40 X 160 -------> 384 = C
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Re: PS - % (m02q37) [#permalink] New post 18 Jul 2013, 09:20
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This question highlights one of the most important aspects of the GMAT: Correctly interpreting the question. If you consider that only 320 bulbs were used to light the gym, and each was 1$, then it's very easy to pick 320$ here. However the question asks how much money was spent on illuminating the gym, which includes waste since that money was spent and not recuperated. Sometimes students tell me: "I don't think this question is clear". Unfortunately, no one is there on exam day to help clarify the issue for you, so you have to figure out the intent of the question on your own. Practice will help a lot, but the stress of answering questions in ~2 minutes as well as tricky wording will always leave room for misinterpretation and missed points on this test.

I highly recommend rereading the question for 10-15 seconds before clicking on submit, particularly for Problem Solving questions in math. Whatever the right answer to the question is, you can bet there will also be the right answer to a misinterpreted question among the choices.

Hope this helps!
-Ron
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Re: PS - % (m02q37) [#permalink] New post 05 Jul 2014, 17:33
(1/3)x = 160,
x= 480,
60 % is $96,
so 100 % is 160,
$160 are for 160 bulbs, so 1 bulb is for $1. for 480 bulbs $ 480 paid initially. $96 reimbursed.
So, spending is $480 - $96 = $384
Hence C is the answer.
Re: PS - % (m02q37)   [#permalink] 05 Jul 2014, 17:33
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