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# A man sold 20 articles for $60 and gained 20%. How many  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Director Joined: 07 Jun 2004 Posts: 613 Location: PA Followers: 3 Kudos [?]: 422 [2] , given: 22 A man sold 20 articles for$60 and gained 20%. How many [#permalink]  28 Jul 2010, 08:20
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A man sold 20 articles for $60 and gained 20%. How many articles should he sell for$90 to incur a loss 20%?

A. 45
B. 36
C. 40
D. 50
E. 48
[Reveal] Spoiler: OA

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Joined: 02 Apr 2010
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Re: Another percent problem [#permalink]  28 Jul 2010, 08:35
Production cost per article: $60*(100%-20%) / 20 =$2.40

Required production costs for a loss of 20%: $90*(100% + 20%) =$108

Number of articles to be sold for $108 to incur a 20% loss:$108 / $2.40 = 45 Thus, solution A is correct. Manager Joined: 20 Mar 2010 Posts: 84 Followers: 2 Kudos [?]: 67 [0], given: 1 Re: Another percent problem [#permalink] 28 Jul 2010, 15:55 rxs0005 wrote: A man sold 20 articles for$60 and gained 20%. How many articles should he sell for $90 to incur a loss 20%? A. 45 B. 36 C. 40 D. 50 E. 48 If he sells 20 articles for$60 then selling price for each article is $3. Since he gained 20% ,If the production cost per article is x then x*1.2=3 ==> x=$2.5
If a selling price of $90 for y articles makes a 20% loss then production price for those y articles is 90/.08 = 112.5 Since each article costs 2.5, y*2.5 =112.5 ==> y=45 _________________ ___________________________________ Please give me kudos if you like my post Manager Joined: 16 Mar 2010 Posts: 187 Followers: 2 Kudos [?]: 91 [0], given: 9 Re: Another percent problem [#permalink] 28 Jul 2010, 19:25 Please help me here... I get the answer 50. OA is definately correct or am i making some mistake please correct me where i am wrong. 20 articles for$60 means selling price = 3
20% profit is made so Cost Price = 2.5

Man has to incur a loss of 20% means he has to make a total loss of 20% and he sells X units in 90$60+90 = 0.8 * (C.P. for 20+X units) C.P. for 20+X units = 75*5/2 But the cost price for one unit is 2.5 so, 75*5/(2*2.5) = 75 = Number of units sold. 20 units were sold for 60$ so 55 units sold for 90$Can someone explain where am i wrong here??? Manager Joined: 20 Mar 2010 Posts: 84 Followers: 2 Kudos [?]: 67 [0], given: 1 Re: Another percent problem [#permalink] 28 Jul 2010, 20:33 amitjash wrote: Please help me here... I get the answer 50. OA is definately correct or am i making some mistake please correct me where i am wrong. 20 articles for$60 means selling price = 3
20% profit is made so Cost Price = 2.5

Man has to incur a loss of 20% means he has to make a total loss of 20% and he sells X units in 90$60+90 = 0.8 * (C.P. for 20+X units) C.P. for 20+X units = 75*5/2 But the cost price for one unit is 2.5 so, 75*5/(2*2.5) = 75 = Number of units sold. 20 units were sold for 60$ so 55 units sold for 90$Can someone explain where am i wrong here??? The loss of 20% in the second part of the question doesn't include the initial 20 items. It's just on the X number of items he needs to sell for a total of$90.
So 90=0.8(C.P of x units) So C.P of x units=$112.5 and since we know that C.P of each item is$2.5.
No of items he need to sell or x= 112.5/2.5 =45
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Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] 14 Jan 2014, 12:18 rxs0005 wrote: A man sold 20 articles for$60 and gained 20%. How many articles should he sell for $90 to incur a loss 20%? A. 45 B. 36 C. 40 D. 50 E. 48 I think my approach was somewhat different. 60 = 6/5x , so x = 50 That's total cost So then 50/20 = 5/2 that's cost per article Now then, 90/x = 5/2 (4/5) x = # of articles X = 45 A is the best answer Cheers! J Moderator Joined: 20 Dec 2013 Posts: 186 Location: United States (NY) GMAT 1: 640 Q44 V34 GMAT 2: 710 Q48 V40 GMAT 3: 720 Q49 V40 GPA: 3.16 WE: Investment Banking (Investment Banking) Followers: 3 Kudos [?]: 52 [0], given: 71 Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]  16 Jan 2014, 21:01
Expert's post
c=cost per item
q=quantity of items

20%gain
60/20c=1.2
c=3/1.2

20%loss
90/(3/1.2)*q=.8
90=(2.4/1.2)q
q=45
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Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] 16 Jan 2015, 21:08 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. _________________ SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1854 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Followers: 27 Kudos [?]: 1225 [0], given: 193 Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]  27 Jan 2015, 21:14
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Cost price of 20 articles $$= 100 * \frac{60}{120} = 50$$

Cost price per article $$= \frac{50}{20}$$

To make a 20% loss, selling price per article $$= 80 * \frac{50}{20} * \frac{1}{100} = 2$$

Number of articles for $90 loss $$= \frac{90}{2} = 45$$ Answer = A _________________ Kindly press "+1 Kudos" to appreciate Intern Joined: 14 Aug 2013 Posts: 24 Followers: 0 Kudos [?]: 3 [0], given: 11 Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]  06 Feb 2015, 21:59
CP of 20 items = 50
CP of 1 item = 2.5

To sell one item at 20% loss , SP of 1 item = 2.5*8/100 = 2

We need to sell 45 items to have a SP of $90. SP = 45 Re: A man sold 20 articles for$60 and gained 20%. How many   [#permalink] 06 Feb 2015, 21:59
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# A man sold 20 articles for \$60 and gained 20%. How many

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