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14 Nov 2010, 23:29
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Difficulty:

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Question Stats:

79% (02:28) correct 21% (02:03) wrong based on 230 sessions

(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. _________________ Manager Joined: 13 Jul 2010 Posts: 168 Followers: 1 Kudos [?]: 88 [1] , given: 7 Re: A retailer bought a machine [#permalink] Show Tags 16 Nov 2010, 18:50 1 This post received KUDOS .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] Show Tags 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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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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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] Show Tags 09 May 2015, 19:29 1 This post received KUDOS 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!

[Reveal] Spoiler:
C

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A) $99 B)$108
C) $110 D)$117
E) $120 _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Nandish Senior Manager Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood. Joined: 30 Jul 2013 Posts: 361 Followers: 9 Kudos [?]: 178 [0], given: 133 Re: An appliance dealer bought an answering machine at a wholesale [#permalink] Show Tags 26 Jul 2016, 23:46 NandishSS wrote: An appliance dealer bought an answering machine at a wholesale price of$90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99 B)$108
C) $110 D)$117
E) $120 WP =$90
Sale @ 90% of retail price (RP)

$90x1.2=0.9RP RP=120 Answer: E Math Expert Joined: 02 Sep 2009 Posts: 39071 Followers: 7762 Kudos [?]: 106616 [0], given: 11630 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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26 Jul 2016, 23:53
NandishSS wrote:
An appliance dealer bought an answering machine at a wholesale price of $90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine? A)$99
B) $108 C)$110
D) $117 E)$120

Merging topics. Please refer to the discussion above.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] Show Tags 27 Jul 2016, 00:46 AmoyV wrote: NandishSS wrote: An appliance dealer bought an answering machine at a wholesale price of$90 and then sold it at a 10 percent discount off the retail price. If the dealer made a 20 percent profit on the wholesale price, what was the retail price of the answering machine?

A) $99 B)$108
C) $110 D)$117
E) $120 WP =$90
Sale @ 90% of retail price (RP)

$90x1.2=0.9RP RP=120 Answer: E I believe you meant C. _________________ Good Luck Director Joined: 18 Oct 2014 Posts: 908 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Followers: 99 Kudos [?]: 300 [0], given: 69 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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27 Jul 2016, 13:47
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 He made a profit of 20%. that means the machine was sold at 90*1.2=$108

This price is after 10% discount of retail price or 90% of the retail price

108= .90 P
P= 108/.9= 120

C is the answer
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] Show Tags 27 Jul 2016, 20:13 1 This post received KUDOS Expert's post Hi All, Beyond the various Algebra-based approaches, and TESTing THE ANSWERS, this question has some great logical shortcuts in it that can help you to avoid most of the 'math' involved. To start, we know that the Wholesale Price was$90. Later, we're told that the dealer made a 20% profit on the Wholesale Price....

(20%)($90) = (.2)($90) =
$18 Wholesale Price + Profit =$90 + $18 =$108

However, we were told that the Retail Price was DISCOUNTED by 10% (to get down to $108). We're asked for that original Retail Price. Whatever that retail price was, we know that it was GREATER than$108.

10% of $108 is a little over$10, so that discount had to be GREATER than $10...$108 + (> $10) = Retail Price >$118

There's only one answer that fits:

[Reveal] Spoiler:
E

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29 Jul 2016, 11:39
Here =>
WP=90
let the retail price be x
=> SP=x(1-.1)=0.9x
Profit =20/100 * 90=18
hence SP=90+18=108
Now .9x=108=> x=120

Nice question ; here the concepts of WP,RP and SP are being tested.
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