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A discount electronics store normally sells all merchandise

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A discount electronics store normally sells all merchandise  [#permalink]

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New post 20 Feb 2015, 02:32
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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
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A discount electronics store normally sells all merchandise  [#permalink]

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New post 20 Feb 2015, 02:45
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.
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Re: A discount electronics store normally sells all merchandise  [#permalink]

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New post 20 Feb 2015, 13:59
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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...

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Re: A discount electronics store normally sells all merchandise  [#permalink]

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New post 16 Jan 2018, 11:01
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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New post 18 Jan 2018, 14:16
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

Answer: B
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Re: A discount electronics store normally sells all merchandise &nbs [#permalink] 18 Jan 2018, 14:16
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