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A retailer has a sale with a 20% discount off the normal $200

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Director
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A retailer has a sale with a 20% discount off the normal $200  [#permalink]

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New post 22 May 2018, 02:41
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Question Stats:

69% (01:57) correct 31% (02:03) wrong based on 61 sessions

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A retailer has a sale with a 20% discount off the normal $200 retail price of a dishwasher, knowing that the sale price allows for a profit equal to 25% of the price he had originally paid for the dishwasher. How much did the retailer originally pay for the dishwasher?

(A) $96
(B) $120
(C) $128
(D) $144
(E) $160

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Re: A retailer has a sale with a 20% discount off the normal $200  [#permalink]

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New post 22 May 2018, 02:45
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Sale Price is $160
One strategy after determining the sale price could be use answer choices and add 25% to each answer choice. The answer which get you to $160 after adding 25% is the correct answer choice. In this case its $128 + 25% of $128 = $160!
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A retailer has a sale with a 20% discount off the normal $200  [#permalink]

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New post 22 May 2018, 05:39
CAMANISHPARMAR wrote:
A retailer has a sale with a 20% discount off the normal $200 reteail price of a dishwasher, knowing that the sale price allows for a profit equal to 25% of the price he had originally paid for the dishwasher. How much did the retailer originally pay for the dishwasher?

(A) $96
(B) $120
(C) $128
(D) $144
(E) $160

Short
(.8*$200)=1.25C
$160=1.25C
C = \(\frac{$160}{1.25}=$128\)

Explanation

The trick here is to avoid getting bamboozled by language. :-)

1) Retail price = \($200\), which is discounted by 20% to equal

2) Actual sell price, SP

SP is 20% off of $200
SP = 80% of $200
SP = (.80 * $200) = $160

3) Profit and cost?

Profit is 25% of the original cost, C, so
Profit = .25C

(Sell price - profit) = Cost
\($160 - .25C = C\)
\($160 = 1.25C\)
\(C=\frac{$160}{1.25}=\frac{$160}{(\frac{5}{4})}=($160*\frac{4}{5})=$128\)


The retailer originally paid $128 for the dishwasher

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Re: A retailer has a sale with a 20% discount off the normal $200  [#permalink]

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New post 02 Feb 2019, 23:24
CAMANISHPARMAR wrote:
A retailer has a sale with a 20% discount off the normal $200 retail price of a dishwasher, knowing that the sale price allows for a profit equal to 25% of the price he had originally paid for the dishwasher. How much did the retailer originally pay for the dishwasher?

(A) $96
(B) $120
(C) $128
(D) $144
(E) $160


Discounted sale price = 0.8*200 = 160

Discounted sale price = CP + 0.25CP

160 = 1.25CP

CP = 160/1.25

= 128
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Re: A retailer has a sale with a 20% discount off the normal $200   [#permalink] 02 Feb 2019, 23:24
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