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# A new sales clerk in a department store has been assigned to

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A new sales clerk in a department store has been assigned to [#permalink]

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18 Apr 2012, 23:52
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A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%
[Reveal] Spoiler: OA

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Gmat FlashCard For Anki

Last edited by Bunuel on 19 Apr 2012, 01:44, edited 1 time in total.
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Re: A new sales clerk in a department store has been assigned to [#permalink]

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19 Apr 2012, 01:42
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A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

# of items 100 (assume);
# of items that should be marked for sale is x;
# of items that should be at the regular price is 100-x;
# of items that are actually marked for sale 0.3*100=30.

Let's see how many items are marked for sale:
20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale);
100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale);

So, 0.2(100-x)+0.45x=30 --> x=40 (# of items that should be marked for sale).

So, # of the items that are supposed to be marked with their regular prices is 0.2*(100-40)=12, which is 12/30*100=40% of # of items that are actually marked for sale.

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Manager
Status: I will be back!
Joined: 13 Feb 2012
Posts: 68
Location: India
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Re: A new sales clerk in a department store has been assigned to [#permalink]

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19 Apr 2012, 01:55
Bunuel wrote:
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

# of items 100 (assume);
# of items that should be marked for sale is x;
# of items that should be at the regular price is 100-x;
# of items that are actually marked for sale 0.3*100=30.

Let's see how many items are marked for sale:
20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale);
100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale);

So, 0.2(100-x)+0.45x=30 --> x=40 (# of items that should be marked for sale).

So, # of the items that are supposed to be marked with their regular prices is 0.2*(100-40)=12, which is 12/30*100=40% of # of items that are actually marked for sale.

Thanks bunnel
I had a hard time understanding this question.
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Gmat FlashCard For Anki

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Re: A new sales clerk in a department store has been assigned to [#permalink]

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19 Apr 2012, 07:30
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A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices)

20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale.
Does it remind you of something? Weighted Average!

regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2

Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12
Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40%
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 08 Jun 2011 Posts: 96 Followers: 1 Kudos [?]: 46 [1] , given: 65 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 19 Apr 2012, 07:55 1 This post received KUDOS Understand these questions carefully. You are guaranteed to get something similar in the exam. Intern Joined: 01 Aug 2011 Posts: 23 Followers: 0 Kudos [?]: 7 [1] , given: 15 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 19 Apr 2012, 22:30 1 This post received KUDOS Thanks Bunnel. That was very helpful. I arrived at C as well, however I used plugging in. (I happened to plug in 100 as total and 40 as number of items that should be on sale, hence arrived at C as well!) Manager Joined: 18 Oct 2010 Posts: 79 Followers: 1 Kudos [?]: 177 [1] , given: 26 percentages [#permalink] ### Show Tags 07 May 2012, 01:59 1 This post received KUDOS A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices? A. 30% B. 35% C. 40% D. 45% E. 50% Hi Bunuel: I am sure you can provide a more better way to tackle this one Math Expert Joined: 02 Sep 2009 Posts: 39048 Followers: 7753 Kudos [?]: 106518 [1] , given: 11627 Re: Kaplan free test PS - percentages [#permalink] ### Show Tags 27 May 2012, 04:03 1 This post received KUDOS Expert's post vibhav wrote: A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices? 1.30% 2.35% 3.40% 4.45% 5.50% Merging similar topics. Please ask if anything remains unclear. _________________ Senior Manager Joined: 28 Dec 2010 Posts: 331 Location: India Followers: 1 Kudos [?]: 230 [0], given: 33 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 27 May 2012, 04:31 thanks guys! deciphering the language itself under time pressure seemed too much for me! Manager Joined: 28 Jul 2011 Posts: 238 Followers: 4 Kudos [?]: 131 [1] , given: 16 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 28 May 2012, 21:36 1 This post received KUDOS 2 This post was BOOKMARKED Book marking for future reference : Vote for C Total items : 100 Marked for Sale: 30%(100) = 30 Total Retail P items = x Total Sales P items = (100-x) 20% of the items that are supposed to be marked with their regular prices are now marked for sale 20%(x) - marked for sale by mistake 55% of the items that are supposed to be marked for sale are marked with regular prices. therefore, 45% of items marked correctly with sales price So total we have 20%(x) + 45% (100-x) = 30 (20x + 4500 - 45x) / 100 = 30 4500 - 3000 = 25x x = 60 (total items for retail price) therefore total items for sales are = 40 20%(x) = 20%(60) = 12 items tagged wrongly for sale therefore, 12 = z% (30) z = 40% Manager Joined: 15 Apr 2012 Posts: 93 Location: Bangladesh Concentration: Technology, Entrepreneurship GMAT 1: 460 Q38 V17 GPA: 3.56 Followers: 0 Kudos [?]: 46 [0], given: 134 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 27 Jul 2012, 01:49 VeritasPrepKarishma wrote: shadabkhaniet wrote: A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices? A. 30% B. 35% C. 40% D. 45% E. 50% Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices) 20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale. Does it remind you of something? Weighted Average! regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2 Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12 Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40% Hi, Can you explain more about the weighted average ?Thanks Director Joined: 22 Mar 2011 Posts: 612 WE: Science (Education) Followers: 101 Kudos [?]: 948 [0], given: 43 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 27 Jul 2012, 10:53 3 This post was BOOKMARKED Here is a pure algebraic approach: If in the store there are $$R$$ items that should sell at regular price, and $$S$$ items that should sell at reduced price, then the total number of items is $$R + S$$. $$30%$$ of them, or $$0.3(R + S)$$ items are now marked for sale and this is comprised of $$0.2R$$ and $$0.45S$$, as wrongly $$20%$$ of the regular items, and only $$45%$$ of the sale items were marked for sale ($$55%$$ of the sale items were marked regular). So, $$0.3(R + S) = 0.2R + 0.45S$$, from which we can deduce that $$0.1R = 0.15S$$, or $$2R = 3S.$$ We have to evaluate the ratio $$\frac{0.2R}{0.3(R+S)}$$ - out of those marked for sale, what fraction/percentage should be marked regular. $$\frac{0.2R}{0.3(R+S)}=\frac{2R}{3R+3S}=\frac{2R}{3R+2R}=\frac{2R}{5R}=\frac{2}{5}=40%$$. Hence, answer C. _________________ PhD in Applied Mathematics Love GMAT Quant questions and running. Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7380 Location: Pune, India Followers: 2292 Kudos [?]: 15153 [0], given: 224 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 27 Jul 2012, 21:51 Retired Moderator Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL Joined: 04 Oct 2009 Posts: 1669 Location: Peru Schools: Harvard, Stanford, Wharton, MIT & HKS (Government) WE 1: Economic research WE 2: Banking WE 3: Government: Foreign Trade and SMEs Followers: 103 Kudos [?]: 993 [0], given: 109 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 25 Aug 2012, 08:21 +1 C Use the chart to solve sets. And be careful in distinguis between a percentage of the total and a percentage of a particular group. _________________ "Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can." My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html GMAT Club Premium Membership - big benefits and savings Intern Joined: 11 Feb 2012 Posts: 12 Followers: 0 Kudos [?]: 66 [0], given: 11 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 24 Sep 2012, 23:46 Bunuel wrote: shadabkhaniet wrote: A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices? A. 30% B. 35% C. 40% D. 45% E. 50% # of items 100 (assume); # of items that should be marked for sale is x; # of items that should be at the regular price is 100-x; # of items that are actually marked for sale 0.3*100=30. Let's see how many items are marked for sale: 20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale); 100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale); So, 0.2(100-x)+0.45x=30 --> x=40 (# of items that should be marked for sale). So, # of the items that are supposed to be marked with their regular prices is 0.2*(100-40)=12, which is 12/30*100=40% of # of items that are actually marked for sale. Answer: C. Did not understand - 100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale) Senior Manager Joined: 22 Dec 2011 Posts: 294 Followers: 3 Kudos [?]: 266 [0], given: 32 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 03 Nov 2012, 05:55 Bunuel wrote: shadabkhaniet wrote: A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices? A. 30% B. 35% C. 40% D. 45% E. 50% # of items 100 (assume); # of items that should be marked for sale is x; # of items that should be at the regular price is 100-x; # of items that are actually marked for sale 0.3*100=30. Let's see how many items are marked for sale: 20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale); 100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale); So, 0.2(100-x)+0.45x=30 --> x=40 (# of items that should be marked for sale). So, # of the items that are supposed to be marked with their regular prices is 0.2*(100-40)=12, which is 12/30*100=40% of # of items that are actually marked for sale. Answer: C. Bunuel - Can we do this problem via 2 set matrix / charts. Could you please show us how?. It will be really helpful. My sincere thanks. Cheers GMAT Club Legend Joined: 09 Sep 2013 Posts: 15509 Followers: 651 Kudos [?]: 210 [0], given: 0 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 16 Feb 2014, 07:59 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Current Student Joined: 13 Feb 2011 Posts: 104 Followers: 0 Kudos [?]: 39 [0], given: 3370 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 12 May 2014, 21:59 Can this problem be solved using the double-set matrix technique? Intern Joined: 18 Jun 2014 Posts: 4 Followers: 0 Kudos [?]: 6 [2] , given: 28 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 21 Jul 2014, 18:05 2 This post received KUDOS 1 This post was BOOKMARKED Dienekes wrote: Can this problem be solved using the double-set matrix technique? I think this could be better understood if using this 2x2 Matrix attached. Attachments Screen Shot 2014-07-21 at 8.01.12 PM.png [ 13.68 KiB | Viewed 7058 times ] SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1857 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Followers: 51 Kudos [?]: 2181 [0], given: 193 Re: A new sales clerk in a department store has been assigned to [#permalink] ### Show Tags 23 Jul 2014, 22:54 2 This post was BOOKMARKED Regular ................... Sale .................... Total 100-x ............................. x .................... 100 (Assume) 20% of regular is marked sale $$= \frac{20(100-x)}{100}$$ 55% of sale is marked regular, which also means 45% of sale is "actually" for sale $$= \frac{45x}{100}$$ Total sale = 30 $$\frac{20(100-x)}{100} + \frac{45x}{100} = 30$$ x = 40 Answer = C _________________ Kindly press "+1 Kudos" to appreciate Re: A new sales clerk in a department store has been assigned to [#permalink] 23 Jul 2014, 22:54 Go to page 1 2 Next [ 26 posts ] Similar topics Replies Last post Similar Topics: 2 A retail store employs only clerks and managers and the clerks earn$1 3 18 May 2017, 11:46
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