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7
9 00:00

Difficulty:   65% (hard)

Question Stats: 61% (02:28) correct 39% (02:54) wrong based on 230 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
Manager  Joined: 02 Apr 2010
Posts: 99
Re: Another percent problem  [#permalink]

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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: 139 Re: Another percent problem [#permalink] ### Show Tags 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: 77 Re: Another percent problem [#permalink] ### Show Tags 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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SVP  Joined: 06 Sep 2013
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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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Joined: 27 Dec 2012
Posts: 1812
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 2 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
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Kindly press "+1 Kudos" to appreciate Intern  Joined: 14 Aug 2013
Posts: 23
Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 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
Board of Directors P
Joined: 17 Jul 2014
Posts: 2552
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30 GPA: 3.92
WE: General Management (Transportation)

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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)
Senior Manager  D
Joined: 04 Jun 2018
Posts: 470
Location: Germany
Concentration: General Management, Finance
GPA: 3.6
WE: Analyst (Transportation)

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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

Lets say each article costed him x and he initially sold them for 1.2x (Because he sold for 20% profit).

so 20 * 1.2x = 60 => x = 2.5.

Cost price for article = 2.5. If it were to 20 % loss, selling price should be 80% of cost price, Selling price = 0.8 * 2.5 = 2

if he sold each item for $2, he must sell 90/2 items , that are 45 items. Hence answer is A _________________ Please give me +1 kudos if my post helps you a little. It will help me unlock tests. Thanks Intern  B Joined: 10 Sep 2018 Posts: 44 Re: A man sold 20 articles for$60 and gained 20%. How many  [#permalink]

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ok So
here are my two cents

Profit % is given so

20= ((SP-CP)/CP)* 100

20= (( 60*20 - x)/x) *100

Solving for x we get x=1000 i.e cost of 20 items is 1000

Now he is selling some articles at 90 $and the loss % is given as 20 CP is fixed at 1000 Loss% =( (CP-SP)/CP)*100 20 = ((1000- 90 *N)/1000)*100 solving for N i get N = 80/9 and i am nowhere near any of the options so what did i do wrong here Please explain VP  P Joined: 31 Oct 2013 Posts: 1353 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: A man sold 20 articles for$60 and gained 20%. How many  [#permalink]

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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

Sp of an article = 3

cp = 3/120 * 100 = 5/2

we want to incur loss of 20% . sp must be 80 of 5/2.

(5/2 )* 80/100 = 2.

total sp : 90

selling price : 2

90/2 = 45.

The correct answer must be A. Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] 02 Dec 2018, 13:31 Display posts from previous: Sort by # A man sold 20 articles for$60 and gained 20%. How many

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