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A discount electronics store normally sells all merchandise

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Joined: 05 Nov 2011
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Location: France, Metropolitan
A discount electronics store normally sells all merchandise [#permalink]

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20 Feb 2015, 01:32
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A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? (A)$130.00

(B) $145.60 (C)$163.80

(D) $182.00 (E)$210.00
[Reveal] Spoiler: OA
Intern
Joined: 05 Nov 2011
Posts: 15
Location: France, Metropolitan
A discount electronics store normally sells all merchandise [#permalink]

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20 Feb 2015, 01:45
Stardust Chris wrote:
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? (A)$130.00

(B) $145.60 (C)$163.80

(D) $182.00 (E)$210.00

Original price : 260 $Max first discount = -30% Thus : $$260*(1-\frac{30}{100})=182$$ Second discount on the discounted price = -20% Thus : $$182*(1-\frac{20}{100})=145,6$$ Answer B. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11063 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: A discount electronics store normally sells all merchandise [#permalink] Show Tags 20 Feb 2015, 12:59 2 This post received KUDOS Expert's post Hi Stardust Chris, Since the question is essentially just about multiplication, you can do the various math "steps" in a variety of ways (depending on whichever method you find easiest). We're told that the first discount is 10% to 30%, inclusive. We're told that the next discount is 20% off of the DISCOUNTED price.... We're told to MAXIMIZE the discount (thus, 30% off the original price and then 20% off of the discounted price). That "math" can be written in a number of different ways (fractions, decimals, etc.): 30% off = (1 - .3) = (1 - 30/100) = (.7) and the same can be done with the 20% additional discount... The final price of an item that originally cost$260 would be.....

($260)(.7)(.8) = ($260)(.56)

Since .56 is a little more than 1/2, we're looking for an answer that's a little more than $130.... Since these answer choices are so "spread out", we don't really have to do the calculation... Final Answer: [Reveal] Spoiler: B GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: A discount electronics store normally sells all merchandise [#permalink]

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16 Jan 2018, 10:01
Stardust Chris wrote:
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? (A)$130.00

(B) $145.60 (C)$163.80

(D) $182.00 (E)$210.00

Max possible value after first discount is 70% of 260 = 182
Max possible value after second discount is 80% of 182 = 145.60

Thus, answer will be (B) 145.60
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Re: A discount electronics store normally sells all merchandise [#permalink]

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18 Jan 2018, 13:16
Stardust Chris wrote:
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? (A)$130.00

(B) $145.60 (C)$163.80

(D) $182.00 (E)$210.00

The lowest possible price would be:

260 x 0.7 x 0.8

182 x 0.8 = 145.60

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Re: A discount electronics store normally sells all merchandise   [#permalink] 18 Jan 2018, 13:16
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