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14 Nov 2010, 22:29
1
13
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:51) correct 19% (02:21) wrong based on 260 sessions

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(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. _________________ ##### General Discussion Manager Joined: 13 Jul 2010 Posts: 95 Re: A retailer bought a machine [#permalink] ### Show Tags 16 Nov 2010, 17:50 1 .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, 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]

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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
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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: 16759 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A retailer bought a machine at a wholesale price of$90 and  [#permalink]

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09 May 2015, 18:29
2
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: GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★ Director Joined: 06 Jan 2015 Posts: 773 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) An appliance dealer bought an answering machine at a wholesale [#permalink] ### Show Tags 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 _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Retired Moderator Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood. Joined: 30 Jul 2013 Posts: 289 Re: An appliance dealer bought an answering machine at a wholesale [#permalink] ### Show Tags 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 Answer: E Math Expert Joined: 02 Sep 2009 Posts: 64114 Re: A retailer bought a machine at a wholesale price of$90 and  [#permalink]

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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.
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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 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 Answer: E I believe you meant C. _________________ My LinkedIn abhimahna. | My GMAT Story: From V21 to V40 | My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub | Importance of an Error Log! Verbal Resources: All SC Resources at one place | All CR Resources at one place GMAT Club Inbuilt Error Log Functionality - View More | Best Reply Functionality on GMAT Club! New Visa Forum - Ask all your Visa Related Questions - here | Have OPT questions? - Post them here. Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free Check our new About Us Page here. | Current Student Joined: 18 Oct 2014 Posts: 772 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Re: A retailer bought a machine at a wholesale price of$90 and  [#permalink]

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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

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Re: A retailer bought a machine at a wholesale price of $90 and [#permalink] ### Show Tags 27 Jul 2016, 19:13 1 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:

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