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CIO
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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 Source: GMAT Club Tests - hardest GMAT questions
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CEO
Joined: 17 Nov 2007
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Cx - money that was spent on illuminating the gym. (x+96)*\frac13*\frac{60}{100}=96x=5*96-96=4*96=384I think it is easy-medium level. But maybe I have wrong answer?
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Director
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I second walker, quick solution!
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Manager
Joined: 20 Sep 2007
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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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CEO
Joined: 17 Nov 2007
Posts: 3594
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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I think we have to add losses 0.4*160=64 320+64=384.
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Manager
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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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Manager
Joined: 16 Apr 2008
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Re: PS - % (m02q37) [#permalink]
12 Jul 2010, 06:16
Yeah, i agree.. have to add the loss . 320+64=384 Final answer C
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Intern
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Re: PS - % (m02q37) [#permalink]
12 Jul 2010, 07:06
Yeah, I agree. It's C, but the question is quite tricky.
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Intern
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Re: PS - % (m02q37) [#permalink]
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) ------------ If you like my post please give me kudos.
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Intern
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Re: PS - % (m02q37) [#permalink]
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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Manager
Joined: 25 Jun 2008
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Re: PS - % (m02q37) [#permalink]
14 Jul 2011, 10:10
Definitely 384. Probably about a 600-700 level question.
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Manager
Status: GMAT BATTLE - WIN OR DIE
Joined: 02 May 2011
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Re: PS - % (m02q37) [#permalink]
15 Jul 2011, 06:58
Definitely C.Easy question
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Manager
Status: I will not stop until i realise my goal which is my dream too
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Re: PS - % (m02q37) [#permalink]
15 Jul 2011, 07:49
yes i agree with 384, but what is the correct answer for this?
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Intern
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Re: PS - % (m02q37) [#permalink]
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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Manager
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Re: PS - % (m02q37) [#permalink]
19 Jul 2011, 04:35
Trick question but I agree that question is not very clear.
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Senior Manager
Joined: 08 Jun 2010
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Re: PS - % (m02q37) [#permalink]
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.
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Intern
Status: Looking for High GMAT Score
Joined: 19 May 2012
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Re: PS - % (m02q37) [#permalink]
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 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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Manager
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Re: PS - % (m02q37) [#permalink]
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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Intern
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Re: PS - % (m02q37) [#permalink]
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 nOf 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 bulbsi.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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Intern
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Re: PS - % (m02q37) [#permalink]
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
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Re: PS - % (m02q37)
[#permalink]
19 Jul 2012, 05:05
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