By selling an article for Rs. 171, a shopkeeper gains as much percent as the cost price of an articl

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28 Feb 2022 Profit and Loss

By selling an article for Rs. 171, a shopkeeper gains as much percent as the cost price of an article. In order to get 40% profit, at what price (Rs.) he should sell an article ?

OPtion

1) 112
2) 136
3) 120
4) 116
5) 131
6) 141
7) 126
8) 131.25
9) 157.25
10) None of these

Solution

Let the CP of an article be Rs. x, then x + x*x/100 = 171
x^2 + 100x - 17100 = 0
(x-90) (x+190) = 0
x = 90
.'. The selling price at 40% profit = 90*(140/100) = 126 Rs.

Correct Option: 7 Best Solution (2)

G.S.Kantharao   2 years AGO

Let x be C.P
Profit=x%
S.P =x*(100+x)/100=171
x^2+100x-17100=0
(x-90)(x+190)=0
x=90
Now profit =40%
S.P=90*140/100=Rs.126
My option is 7👈

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RAMADURAI NATESAN   2 years AGO

Let cost price be = c. As per given information,
((171 - c)/c))*100 = c Or, c^2 +100c - 17100 = 0.
In order to easily factorise, let the 2 factors be
50 + a an d 50 - a .(Note : 50 =100/2). Sum = 100
Product =50^2 - a^2 = - 17100 i.e., a^2 = 19600 ; a = 140
Hence the factors are 50 + 140 and 50 - 140. i.e.,190 & -90.
Thus, (c+190)* (c - 90 ) = 0. Hence c = 90.
Sale price with 40% profit = 1.40 c = 1.40 * 90 = 126

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