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# By selling an article for Rs. 144 a man gained such that the

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Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx
By selling an article for Rs. 144 a man gained such that the [#permalink]

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09 Nov 2003, 16:33
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:03) correct 0% (00:00) wrong based on 2 sessions

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By selling an article for Rs. 144 a man gained such that the percentage gain equals the cost price .The C.P. of the article is??

A.60
B.64
C.72
D.80
_________________

shubhangi

Intern
Joined: 10 Oct 2003
Posts: 45
Location: Finland

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13 Nov 2003, 01:58

solution

let x be the cost price. so the profit percent is x too

Selling price = x + (x*x)/100
144 = x+ x*x/100

x2+100x-14400 =0
x =-180 or x= 80

So CP =80.

-jay
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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14 Jan 2004, 11:55
Cost (C) + profit (P) = Sell-Price (S)

%gain = ( P/C ) * 100 = C

Profit = C ^ 2 / 100

C + C^2 /100 = 144
C^2 + 100C - 14400 = 0
(C+180)(C-80) = 0
C = 80

14 Jan 2004, 11:55
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