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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]

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New post 14 Nov 2010, 23:29
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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]

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New post 15 Nov 2010, 01:45
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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]

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New post 16 Nov 2010, 18:50
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.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]

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New post 12 Jan 2014, 13:31
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]

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New post 15 Jan 2014, 03:48
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
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]

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New post 09 May 2015, 14:28
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


First find the sale price. Profit is 20% so sale price is 1.2*90 = $108. Then, use POE on the answer choices, see which answer choices yields 108 when you subtract 10% of it. 120 - 12 = 108. Answer C it is.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink]

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New post 09 May 2015, 19:29
Expert's post
Hi All,

Many Test Takers would take an Algebraic approach to this prompt (which is fine). Since the answers ARE numbers, and the question asks for the retail price of the machine, we can TEST THE ANSWERS.

From the prompt, we're given a number of Facts:
1) A machine was purchased at a wholesale price of $90
2) It was sold after a 10% discount to the RETAIL price
3) The profit on the sale was 20% of the WHOLESALE price

We're asked to find the retail price of the machine.

Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.

Let's start by TESTing Answer C: $120....

If.....
Retail Price = $120
10% discount off = $120 - (.1)(120) = 120 - 12 = 108
20% profit on wholesale price = 90 + (.2)(90) = 90 + 18 = 108

These two numbers MATCH, so this MUST be the answer!

Final Answer:
[Reveal] Spoiler:
C


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Re: A retailer bought a machine at a wholesale price of $90 and   [#permalink] 09 May 2015, 19:29
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