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A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 14 Nov 2010, 22:29 6 This post was BOOKMARKED 00:00 Difficulty: 15% (low) Question Stats: 80% (02:27) correct 20% (02:02) wrong based on 224 sessions ### HideShow timer Statistics 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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15 Nov 2010, 00:45
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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): $$90*1.2=0.9x$$ --> $$x=120$$.

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Re: A retailer bought a machine [#permalink]

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16 Nov 2010, 17:50
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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 Current Student Joined: 06 Sep 2013 Posts: 2035 Concentration: Finance GMAT 1: 770 Q0 V Followers: 64 Kudos [?]: 605 [0], given: 355 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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12 Jan 2014, 12:31
monirjewel wrote:

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 09 May 2015, 13:28 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. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 8586 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 400 Kudos [?]: 2565 [1] , given: 166 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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09 May 2015, 18:29
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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 GMAT assassins aren't born, they're made, Rich _________________ # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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26 Jul 2016, 21:57
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
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Re: An appliance dealer bought an answering machine at a wholesale [#permalink]

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26 Jul 2016, 22:46
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

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 26 Jul 2016, 22:53 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. _________________ BSchool Forum Moderator Joined: 18 Jul 2015 Posts: 1040 Location: India Concentration: General Management, International Business GMAT 1: 670 Q50 V32 GMAT 2: 700 Q50 V34 GPA: 3.65 WE: Brand Management (Health Care) Followers: 25 Kudos [?]: 251 [0], given: 39 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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26 Jul 2016, 23:46
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

I believe you meant C.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 27 Jul 2016, 12:47 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 _________________ I welcome critical analysis of my post!! That will help me reach 700+ EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 8586 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 400 Kudos [?]: 2565 [1] , given: 166 Re: A retailer bought a machine at a wholesale price of$90 and [#permalink]

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27 Jul 2016, 19:13
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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: Final Answer: [Reveal] Spoiler: E GMAT assassins aren't born, they're made, Rich _________________ # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 29 Jul 2016, 10:39 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. _________________ Give me a hell yeah ...!!!!! Re: A retailer bought a machine at a wholesale price of$90 and   [#permalink] 29 Jul 2016, 10:39
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