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# PS - % (m02q37)

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PS - % (m02q37) [#permalink]  23 Jan 2008, 07:46
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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 _________________ Welcome to GMAT Club! Want to solve GMAT questions on the go? GMAT Club iPhone app will help. Please read this before posting in GMAT Club Tests forum Result correlation between real GMAT and GMAT Club Tests Are GMAT Club Test sets ordered in any way? Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas. Get the best GMAT Prep Resources with GMAT Club Premium Membership  Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes Veritas Prep GMAT Discount Codes CEO Joined: 17 Nov 2007 Posts: 3572 Concentration: Entrepreneurship, Other Schools: Chicago (Booth) - Class of 2011 GMAT 1: 750 Q50 V40 Followers: 367 Kudos [?]: 1851 [8] , given: 359 Re: PS - % [#permalink] 23 Jan 2008, 09:09 8 This post received KUDOS Expert's post I think we have to add losses 0.4*160=64 320+64=384. _________________ HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame Intern Joined: 29 Mar 2010 Posts: 16 Schools: UCLA, USC WE 1: 3 Yr at leading SAAS company Followers: 0 Kudos [?]: 4 [3] , given: 0 Re: PS - % (m02q37) [#permalink] 12 Jul 2010, 13:52 3 This post received KUDOS 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.
Senior Manager
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Re: PS - % (m02q37) [#permalink]  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.
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Re: PS - % (m02q37) [#permalink]  18 Jul 2013, 09:20
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Expert's post
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 - % [#permalink]  23 Jan 2008, 07:57
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Expert's post
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 - % (m02q37) [#permalink]  18 Jul 2012, 23:36
1
KUDOS
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]  18 Jul 2013, 08:48
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Expert's post
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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Manager
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Re: PS - % [#permalink]  23 Jan 2008, 08:43

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
Manager
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Re: PS - % (m02q37) [#permalink]  12 Jul 2010, 05:16
Yeah, i agree.. have to add the loss .
Intern
Status: Looking for High GMAT Score
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Re: PS - % (m02q37) [#permalink]  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 !! _________________ “The best time to plant a tree was 20 years ago. The second best time is now.” – Chinese Proverb Manager Joined: 14 Jun 2012 Posts: 66 Followers: 0 Kudos [?]: 9 [0], given: 1 Re: PS - % (m02q37) [#permalink] 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. _________________ My attempt to capture my B-School Journey in a Blog : tranquilnomadgmat.blogspot.com There are no shortcuts to any place worth going. Manager Joined: 22 Jun 2012 Posts: 53 GMAT 1: 730 Q49 V40 Followers: 2 Kudos [?]: 15 [0], given: 6 Re: PS - % (m02q37) [#permalink] 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?" Cheers Intern Joined: 28 May 2013 Posts: 3 Followers: 0 Kudos [?]: 0 [0], given: 3 Re: PS - % (m02q37) [#permalink] 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... Intern Joined: 02 Jul 2014 Posts: 4 Followers: 0 Kudos [?]: 0 [0], given: 12 Re: PS - % (m02q37) [#permalink] 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
Re: PS - % (m02q37)   [#permalink] 05 Jul 2014, 17:33
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# PS - % (m02q37)

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