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A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 28 Jul 2010, 08:20 4 This post received KUDOS 9 This post was BOOKMARKED 00:00 Difficulty: 55% (hard) Question Stats: 66% (02:58) correct 34% (03:00) wrong based on 192 sessions ### HideShow timer Statistics 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 _________________ If the Q jogged your mind do Kudos me : ) Manager Joined: 02 Apr 2010 Posts: 103 Followers: 5 Kudos [?]: 118 [0], given: 18 Re: Another percent problem [#permalink] ### Show Tags 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.
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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
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28 Jul 2010, 19:25

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???
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28 Jul 2010, 20:33
amitjash wrote:

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 _________________ ___________________________________ Please give me kudos if you like my post Current Student Joined: 06 Sep 2013 Posts: 2035 Concentration: Finance GMAT 1: 770 Q0 V Followers: 60 Kudos [?]: 582 [0], given: 355 Re: A man sold 20 articles for$60 and gained 20%. How many [#permalink]

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14 Jan 2014, 12:18
1
This post was
BOOKMARKED
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

Cheers!
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Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 27 Jan 2015, 21:14 2 This post was BOOKMARKED 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 $$= \frac{90}{2} = 45$$

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Re: A man sold 20 articles for $60 and gained 20%. How many [#permalink] ### Show Tags 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
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14 Oct 2016, 00:20
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)