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A man sold 20 articles for $60 and gained 20%. How many
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28 Jul 2010, 09:20
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
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Re: Another percent problem
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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
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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Re: Another percent problem
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28 Jul 2010, 16:55
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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Re: Another percent problem
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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???



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Re: Another percent problem
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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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Re: A man sold 20 articles for $60 and gained 20%. How many
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14 Jan 2014, 13:18
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



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Re: A man sold 20 articles for $60 and gained 20%. How many
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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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Re: A man sold 20 articles for $60 and gained 20%. How many
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27 Jan 2015, 22:14
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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Re: A man sold 20 articles for $60 and gained 20%. How many
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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



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Re: A man sold 20 articles for $60 and gained 20%. How many
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19 Dec 2015, 11:34
this is some weird question. nevertheless, I got to A.



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Re: A man sold 20 articles for $60 and gained 20%. How many
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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%=10020=80 %) we will get x=2
GIVEN selling price to get 20% loss is 90 dollars now 90/2=45 (A)



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Re: A man sold 20 articles for $60 and gained 20%. How many
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02 Dec 2018, 06:14
I do not really understand this question from an English standpoint, to be honest. I went through the solutions and I get the math, but the formulation really confused me.
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Re: A man sold 20 articles for $60 and gained 20%. How many
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02 Dec 2018, 08:05
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
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Re: A man sold 20 articles for $60 and gained 20%. How many
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02 Dec 2018, 11:10
ok So here are my two cents
Profit % is given so
20= ((SPCP)/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% =( (CPSP)/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



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Re: A man sold 20 articles for $60 and gained 20%. How many
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02 Dec 2018, 13:31
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
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02 Dec 2018, 13:31






