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28 Jul 2010, 09:20
4
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Difficulty:

55% (hard)

Question Stats:

65% (02:56) correct 35% (02:55) wrong based on 199 sessions

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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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Manager
Joined: 02 Apr 2010
Posts: 103

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28 Jul 2010, 09:35
Production cost per article: $60*(100%-20%) / 20 =$2.40

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

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: 17 Mar 2010 Posts: 182 Re: Another percent problem [#permalink] ### Show Tags 28 Jul 2010, 20:25 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 Re: Another percent problem [#permalink] ### Show Tags 28 Jul 2010, 21:33 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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Joined: 06 Sep 2013
Posts: 1998
Concentration: Finance

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16 Jan 2014, 22:01
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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27 Jan 2015, 22:14
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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 Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]

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06 Feb 2015, 22:59
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 CEO Joined: 17 Jul 2014 Posts: 2524 Location: United States (IL) Concentration: Finance, Economics Schools: Stanford '20 GMAT 1: 650 Q49 V30 GPA: 3.92 WE: General Management (Transportation) Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]

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19 Dec 2015, 11:34
this is some weird question.
nevertheless, I got to A.
Intern
Joined: 29 Dec 2015
Posts: 10
Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 14 Oct 2016, 01:20 USE Percentage method:- man sells 20 articles for 60 so per article selling price is 3 dollars- gain is 20 above the regular price- which is 100+20=120 percent for 3 dollars so if for 3 dollars ---->120 percent for x dollars -------> 80 percent (20% loss =regular price - 20%=100-20=80 %) we will get x=2 GIVEN selling price to get 20% loss is 90 dollars now 90/2=45 (A) Re: A man sold 20 articles for$60 and gained 20%. How many   [#permalink] 14 Oct 2016, 01:20
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