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PS - % (m02q37) [#permalink] New post 23 Jan 2008, 08:46
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Question Stats:

38% (02:19) correct 61% (01:02) wrong based on 1 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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[Reveal] Spoiler: OA

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Re: PS - % [#permalink] New post 23 Jan 2008, 08:57
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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, 09:38
I second walker, quick solution!
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Re: PS - % [#permalink] New post 23 Jan 2008, 09:43
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, 10:09
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I think we have to add losses 0.4*160=64
320+64=384.
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Re: PS - % [#permalink] New post 23 Jan 2008, 10:40
walker wrote:
I think we have to add losses 0.4*160=64
320+64=384.

yeah, you are right, I didn't understand the question correctly

+1
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Re: PS - % (m02q37) [#permalink] New post 12 Jul 2010, 06:16
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, 07:06
Yeah, I agree. It's C, but the question is quite tricky.
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Re: PS - % (m02q37) [#permalink] New post 12 Jul 2010, 14:52
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 15 Jul 2010, 14:28
The question is not very clear. But since some of you got it correct, I shall not complain. I thought it was B, 320.
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Re: PS - % (m02q37) [#permalink] New post 14 Jul 2011, 10:10
Definitely 384. Probably about a 600-700 level question.
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Re: PS - % (m02q37) [#permalink] New post 15 Jul 2011, 06:58
Definitely C.Easy question
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Re: PS - % (m02q37) [#permalink] New post 15 Jul 2011, 07:49
yes i agree with 384, but what is the correct answer for this?
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Re: PS - % (m02q37) [#permalink] New post 15 Jul 2011, 08:53
I also think the answer is 384.The people who got the answer as 384 should add 64 (the amount lost with 320)
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Re: PS - % (m02q37) [#permalink] New post 19 Jul 2011, 04:35
Trick question but I agree that question is not very clear.
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Re: PS - % (m02q37) [#permalink] New post 11 Jan 2012, 07:08
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, 05:58
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, 20:39
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 19 Jul 2012, 00:36
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, 05:05
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?"

Cheers
Re: PS - % (m02q37)   [#permalink] 19 Jul 2012, 05:05
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