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A retailer bought a machine at a wholesale price of $90 and

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A retailer bought a machine at a wholesale price of $90 and [#permalink] New post 14 Nov 2010, 22:29
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (02:24) correct 18% (01:14) wrong based on 67 sessions
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

(A) 81
(B) 100
(C) 120
(D) 135
(E) 160
[Reveal] Spoiler: OA

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Re: A retailer bought a machine [#permalink] New post 15 Nov 2010, 00:45
Expert's post
monirjewel wrote:
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
(A) 81
(B) 100
(C) 120
(D) 135
(E) 160


Let the retail price be x. Then the price at which machine was sold will be 0.9x and this price must be 20% more than $90 (as the retailer made a profit equivalent to 20% of the whole price): 90*1.2=0.9x --> x=120.

Answer: C.
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Re: A retailer bought a machine [#permalink] New post 16 Nov 2010, 17:50
.9x-90=.2(90)

when x= retail price and $90 is wholesale price.

so you get x=120. Answer is c
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] New post 12 Jan 2014, 12:31
monirjewel wrote:
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?

(A) 81
(B) 100
(C) 120
(D) 135
(E) 160


I guess it should say wholesale price rather than 'whole price'
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Re: A retailer bought a machine [#permalink] New post 15 Jan 2014, 02:48
My solution: Wholesale Price= 90
Retail Price, be = x
He provides 10 % discount on Retail price= x-10x/100
This Retail price = 20 % profit on Wholesale price
x-10x/100 = 90+ 1/5(90)
x=120
Re: A retailer bought a machine   [#permalink] 15 Jan 2014, 02:48
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A retailer bought a machine at a wholesale price of $90 and

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